11.225 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.032 * [progress]: [Phase 2 of 3] Improving.
0.032 * [simplify]: Simplifying:
  (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
0.032 * [simplify]: Sending expressions to egg_math:
 (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))
0.297 * * [progress]: iteration 1 / 4
0.297 * * * [progress]: picking best candidate
0.298 * * * * [pick]: Picked  #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))>
0.298 * * * [progress]: localizing error
0.306 * * * [progress]: generating rewritten candidates
0.306 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.431 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.440 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.471 * * * [progress]: generating series expansions
0.471 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.471 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2)))
0.471 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0
0.471 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
0.471 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.471 * [taylor]: Taking taylor expansion of x in y
0.471 * [backup-simplify]: Simplify x into x
0.471 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.471 * [taylor]: Taking taylor expansion of 3 in y
0.471 * [backup-simplify]: Simplify 3 into 3
0.471 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.471 * [taylor]: Taking taylor expansion of y in y
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.471 * [taylor]: Taking taylor expansion of x in x
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.471 * [taylor]: Taking taylor expansion of 3 in x
0.471 * [backup-simplify]: Simplify 3 into 3
0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.471 * [taylor]: Taking taylor expansion of y in x
0.471 * [backup-simplify]: Simplify y into y
0.471 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.471 * [taylor]: Taking taylor expansion of x in x
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.471 * [taylor]: Taking taylor expansion of 3 in x
0.471 * [backup-simplify]: Simplify 3 into 3
0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.471 * [taylor]: Taking taylor expansion of y in x
0.472 * [backup-simplify]: Simplify y into y
0.472 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.472 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
0.472 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
0.472 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.472 * [taylor]: Taking taylor expansion of 3 in y
0.472 * [backup-simplify]: Simplify 3 into 3
0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.472 * [taylor]: Taking taylor expansion of y in y
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 1 into 1
0.472 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.473 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [taylor]: Taking taylor expansion of 0 in y
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.474 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.474 * [backup-simplify]: Simplify (+ 1 0) into 1
0.474 * [taylor]: Taking taylor expansion of 1 in y
0.474 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.475 * [backup-simplify]: Simplify (* 3 1) into 3
0.475 * [backup-simplify]: Simplify 3 into 3
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.477 * [taylor]: Taking taylor expansion of 0 in y
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.479 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.480 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [taylor]: Taking taylor expansion of 0 in y
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
0.481 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
0.481 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.482 * [taylor]: Taking taylor expansion of x in y
0.482 * [backup-simplify]: Simplify x into x
0.482 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.482 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.482 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.482 * [taylor]: Taking taylor expansion of 3 in y
0.482 * [backup-simplify]: Simplify 3 into 3
0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.482 * [taylor]: Taking taylor expansion of y in y
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.482 * [taylor]: Taking taylor expansion of x in x
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.483 * [taylor]: Taking taylor expansion of 3 in x
0.483 * [backup-simplify]: Simplify 3 into 3
0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.483 * [taylor]: Taking taylor expansion of y in x
0.483 * [backup-simplify]: Simplify y into y
0.483 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.483 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.483 * [taylor]: Taking taylor expansion of x in x
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (/ 1 1) into 1
0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.486 * [taylor]: Taking taylor expansion of 3 in x
0.486 * [backup-simplify]: Simplify 3 into 3
0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.486 * [taylor]: Taking taylor expansion of y in x
0.486 * [backup-simplify]: Simplify y into y
0.486 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.487 * [taylor]: Taking taylor expansion of 1 in y
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [taylor]: Taking taylor expansion of 0 in y
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
0.489 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
0.489 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.489 * [taylor]: Taking taylor expansion of 3 in y
0.489 * [backup-simplify]: Simplify 3 into 3
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.489 * [taylor]: Taking taylor expansion of y in y
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (* 1 1) into 1
0.490 * [backup-simplify]: Simplify (/ 1 1) into 1
0.490 * [backup-simplify]: Simplify (* 3 1) into 3
0.490 * [backup-simplify]: Simplify 3 into 3
0.490 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.492 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [taylor]: Taking taylor expansion of 0 in y
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [taylor]: Taking taylor expansion of 0 in y
0.496 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
0.498 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
0.499 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.499 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.499 * [taylor]: Taking taylor expansion of x in y
0.499 * [backup-simplify]: Simplify x into x
0.499 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.499 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.499 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.499 * [taylor]: Taking taylor expansion of 3 in y
0.499 * [backup-simplify]: Simplify 3 into 3
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.499 * [taylor]: Taking taylor expansion of y in y
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.499 * [backup-simplify]: Simplify (/ 1 1) into 1
0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.499 * [taylor]: Taking taylor expansion of x in x
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (* 1 1) into 1
0.500 * [backup-simplify]: Simplify (/ 1 1) into 1
0.500 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.500 * [taylor]: Taking taylor expansion of 3 in x
0.500 * [backup-simplify]: Simplify 3 into 3
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.500 * [taylor]: Taking taylor expansion of y in x
0.500 * [backup-simplify]: Simplify y into y
0.500 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.500 * [taylor]: Taking taylor expansion of x in x
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.501 * [taylor]: Taking taylor expansion of 3 in x
0.501 * [backup-simplify]: Simplify 3 into 3
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.501 * [taylor]: Taking taylor expansion of y in x
0.501 * [backup-simplify]: Simplify y into y
0.501 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.501 * [backup-simplify]: Simplify (+ 1 0) into 1
0.501 * [taylor]: Taking taylor expansion of 1 in y
0.501 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [taylor]: Taking taylor expansion of 0 in y
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
0.504 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
0.504 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.504 * [taylor]: Taking taylor expansion of 3 in y
0.504 * [backup-simplify]: Simplify 3 into 3
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.504 * [taylor]: Taking taylor expansion of y in y
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [backup-simplify]: Simplify (* 3 1) into 3
0.505 * [backup-simplify]: Simplify 3 into 3
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.507 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [taylor]: Taking taylor expansion of 0 in y
0.507 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.511 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.511 * [taylor]: Taking taylor expansion of 0 in y
0.511 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
0.513 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.513 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.513 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.513 * [taylor]: Taking taylor expansion of x in y
0.513 * [backup-simplify]: Simplify x into x
0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.513 * [taylor]: Taking taylor expansion of y in y
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.514 * [taylor]: Taking taylor expansion of x in x
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.514 * [taylor]: Taking taylor expansion of y in x
0.514 * [backup-simplify]: Simplify y into y
0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.514 * [taylor]: Taking taylor expansion of x in x
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.514 * [taylor]: Taking taylor expansion of y in x
0.514 * [backup-simplify]: Simplify y into y
0.514 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.514 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.514 * [taylor]: Taking taylor expansion of y in y
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [taylor]: Taking taylor expansion of 0 in y
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.515 * [backup-simplify]: Simplify (+ 1 0) into 1
0.515 * [taylor]: Taking taylor expansion of 1 in y
0.515 * [backup-simplify]: Simplify 1 into 1
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (* 1 1) into 1
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.517 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [taylor]: Taking taylor expansion of 0 in y
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.519 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [taylor]: Taking taylor expansion of 0 in y
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.519 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.520 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.520 * [taylor]: Taking taylor expansion of x in y
0.520 * [backup-simplify]: Simplify x into x
0.520 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.520 * [taylor]: Taking taylor expansion of y in y
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.520 * [taylor]: Taking taylor expansion of x in x
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ 1 1) into 1
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.521 * [taylor]: Taking taylor expansion of y in x
0.521 * [backup-simplify]: Simplify y into y
0.521 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.521 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.521 * [taylor]: Taking taylor expansion of x in x
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ 1 1) into 1
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.522 * [taylor]: Taking taylor expansion of y in x
0.522 * [backup-simplify]: Simplify y into y
0.522 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.522 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.522 * [backup-simplify]: Simplify (+ 1 0) into 1
0.522 * [taylor]: Taking taylor expansion of 1 in y
0.522 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ 0 0) into 0
0.523 * [taylor]: Taking taylor expansion of 0 in y
0.523 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.525 * [taylor]: Taking taylor expansion of y in y
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [taylor]: Taking taylor expansion of 0 in y
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.530 * [taylor]: Taking taylor expansion of 0 in y
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.532 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.532 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.532 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.532 * [taylor]: Taking taylor expansion of x in y
0.532 * [backup-simplify]: Simplify x into x
0.532 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.532 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.532 * [taylor]: Taking taylor expansion of y in y
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (* 1 1) into 1
0.532 * [backup-simplify]: Simplify (/ 1 1) into 1
0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.532 * [taylor]: Taking taylor expansion of x in x
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.533 * [taylor]: Taking taylor expansion of y in x
0.533 * [backup-simplify]: Simplify y into y
0.533 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.533 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.534 * [taylor]: Taking taylor expansion of y in x
0.534 * [backup-simplify]: Simplify y into y
0.534 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.534 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.534 * [backup-simplify]: Simplify (+ 1 0) into 1
0.534 * [taylor]: Taking taylor expansion of 1 in y
0.534 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.535 * [taylor]: Taking taylor expansion of 0 in y
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.537 * [taylor]: Taking taylor expansion of y in y
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (* 1 1) into 1
0.537 * [backup-simplify]: Simplify (/ 1 1) into 1
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [taylor]: Taking taylor expansion of 0 in y
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [taylor]: Taking taylor expansion of 0 in y
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.543 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.544 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2)))
0.544 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0
0.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.544 * [taylor]: Taking taylor expansion of x in y
0.544 * [backup-simplify]: Simplify x into x
0.544 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.544 * [taylor]: Taking taylor expansion of 2 in y
0.544 * [backup-simplify]: Simplify 2 into 2
0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.544 * [taylor]: Taking taylor expansion of y in y
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.544 * [taylor]: Taking taylor expansion of x in x
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.544 * [taylor]: Taking taylor expansion of 2 in x
0.544 * [backup-simplify]: Simplify 2 into 2
0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.544 * [taylor]: Taking taylor expansion of y in x
0.544 * [backup-simplify]: Simplify y into y
0.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.544 * [taylor]: Taking taylor expansion of x in x
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.544 * [taylor]: Taking taylor expansion of 2 in x
0.544 * [backup-simplify]: Simplify 2 into 2
0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.544 * [taylor]: Taking taylor expansion of y in x
0.544 * [backup-simplify]: Simplify y into y
0.544 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.544 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
0.545 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
0.545 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.545 * [taylor]: Taking taylor expansion of 2 in y
0.545 * [backup-simplify]: Simplify 2 into 2
0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.545 * [taylor]: Taking taylor expansion of y in y
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.545 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
0.545 * [backup-simplify]: Simplify (+ 0 0) into 0
0.545 * [taylor]: Taking taylor expansion of 0 in y
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.547 * [backup-simplify]: Simplify (+ 1 0) into 1
0.547 * [taylor]: Taking taylor expansion of 1 in y
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (* 2 1) into 2
0.548 * [backup-simplify]: Simplify 2 into 2
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [taylor]: Taking taylor expansion of 0 in y
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [taylor]: Taking taylor expansion of 0 in y
0.553 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2)))
0.554 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))
0.554 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.554 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.554 * [taylor]: Taking taylor expansion of x in y
0.554 * [backup-simplify]: Simplify x into x
0.554 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.554 * [taylor]: Taking taylor expansion of 2 in y
0.554 * [backup-simplify]: Simplify 2 into 2
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.554 * [taylor]: Taking taylor expansion of y in y
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ 1 1) into 1
0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify (/ 1 1) into 1
0.556 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.556 * [taylor]: Taking taylor expansion of 2 in x
0.556 * [backup-simplify]: Simplify 2 into 2
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.556 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.556 * [taylor]: Taking taylor expansion of y in x
0.556 * [backup-simplify]: Simplify y into y
0.556 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.556 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.556 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.556 * [taylor]: Taking taylor expansion of x in x
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 1 into 1
0.556 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify (/ 1 1) into 1
0.556 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.556 * [taylor]: Taking taylor expansion of 2 in x
0.557 * [backup-simplify]: Simplify 2 into 2
0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.557 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.557 * [taylor]: Taking taylor expansion of y in x
0.557 * [backup-simplify]: Simplify y into y
0.557 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.557 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.557 * [backup-simplify]: Simplify (+ 1 0) into 1
0.557 * [taylor]: Taking taylor expansion of 1 in y
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [taylor]: Taking taylor expansion of 0 in y
0.558 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
0.560 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
0.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.560 * [taylor]: Taking taylor expansion of 2 in y
0.560 * [backup-simplify]: Simplify 2 into 2
0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.560 * [taylor]: Taking taylor expansion of y in y
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.560 * [backup-simplify]: Simplify (/ 1 1) into 1
0.560 * [backup-simplify]: Simplify (* 2 1) into 2
0.560 * [backup-simplify]: Simplify 2 into 2
0.560 * [backup-simplify]: Simplify 1 into 1
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.563 * [backup-simplify]: Simplify (+ 0 0) into 0
0.563 * [taylor]: Taking taylor expansion of 0 in y
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.567 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [taylor]: Taking taylor expansion of 0 in y
0.567 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2)))
0.570 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))
0.570 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.570 * [taylor]: Taking taylor expansion of x in y
0.571 * [backup-simplify]: Simplify x into x
0.571 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.571 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.571 * [taylor]: Taking taylor expansion of 2 in y
0.571 * [backup-simplify]: Simplify 2 into 2
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.571 * [taylor]: Taking taylor expansion of y in y
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [backup-simplify]: Simplify (* 1 1) into 1
0.571 * [backup-simplify]: Simplify (/ 1 1) into 1
0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.572 * [taylor]: Taking taylor expansion of x in x
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.572 * [taylor]: Taking taylor expansion of 2 in x
0.572 * [backup-simplify]: Simplify 2 into 2
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.572 * [taylor]: Taking taylor expansion of y in x
0.572 * [backup-simplify]: Simplify y into y
0.572 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.572 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.573 * [taylor]: Taking taylor expansion of x in x
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (/ 1 1) into 1
0.573 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.573 * [taylor]: Taking taylor expansion of 2 in x
0.573 * [backup-simplify]: Simplify 2 into 2
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.573 * [taylor]: Taking taylor expansion of y in x
0.573 * [backup-simplify]: Simplify y into y
0.573 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.573 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.574 * [backup-simplify]: Simplify (+ 1 0) into 1
0.574 * [taylor]: Taking taylor expansion of 1 in y
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.575 * [taylor]: Taking taylor expansion of 0 in y
0.575 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
0.576 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
0.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.576 * [taylor]: Taking taylor expansion of 2 in y
0.576 * [backup-simplify]: Simplify 2 into 2
0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.576 * [taylor]: Taking taylor expansion of y in y
0.576 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.577 * [backup-simplify]: Simplify (* 1 1) into 1
0.577 * [backup-simplify]: Simplify (/ 1 1) into 1
0.577 * [backup-simplify]: Simplify (* 2 1) into 2
0.577 * [backup-simplify]: Simplify 2 into 2
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.579 * [backup-simplify]: Simplify (+ 0 0) into 0
0.579 * [taylor]: Taking taylor expansion of 0 in y
0.579 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.586 * [backup-simplify]: Simplify (+ 0 0) into 0
0.586 * [taylor]: Taking taylor expansion of 0 in y
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2)))
0.588 * * * [progress]: simplifying candidates
0.588 * [simplify]: Simplifying:
  (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y)))
  (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y)))
  (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y)))
  (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3))
  (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y)))
  (- (+ (+ (* x x) (* y y)) (* y y)) (* y y))
  (+ (* y y) (* 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))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* y y)))
  (* (exp (+ (* x x) (* y y))) (exp (* y y)))
  (log (+ (+ (* x x) (* y y)) (* y y)))
  (exp (+ (+ (* x x) (* y y)) (* y y)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (cbrt (+ (+ (* x x) (* y y)) (* y y)))
  (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))
  (- (+ (* x x) (* y y)) (* y y))
  (+ (* y y) (* y y))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
0.589 * [simplify]: Sending expressions to egg_math:
 (* (* (* (exp (* h1 h1)) (exp (* h0 h0))) (exp (* h0 h0))) (exp (* h0 h0)))
 (* (* (exp (+ (* h1 h1) (* h0 h0))) (exp (* h0 h0))) (exp (* h0 h0)))
 (* (exp (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (exp (* h0 h0)))
 (log (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (exp (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (* (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (* (* (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)) (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (+ (pow (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) 3) (pow (* h0 h0) 3))
 (+ (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (- (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (* h0 h0) (* h0 h0)))
 (- (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))
 (+ (* h0 h0) (* h0 h0))
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 (* (* (exp (* h1 h1)) (exp (* h0 h0))) (exp (* h0 h0)))
 (* (exp (+ (* h1 h1) (* h0 h0))) (exp (* h0 h0)))
 (log (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (exp (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (* (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3))
 (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0)))
 (- (+ (* h1 h1) (* h0 h0)) (* h0 h0))
 (+ (* h0 h0) (* h0 h0))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (* 2 (pow h0 2)))
 (+ (pow h1 2) (* 2 (pow h0 2)))
 (+ (pow h1 2) (* 2 (pow h0 2)))
0.707 * * * [progress]: adding candidates to table
0.801 * * [progress]: iteration 2 / 4
0.801 * * * [progress]: picking best candidate
0.817 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))>
0.817 * * * [progress]: localizing error
0.829 * * * [progress]: generating rewritten candidates
0.829 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
0.859 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.894 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
1.037 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1.097 * * * [progress]: generating series expansions
1.097 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
1.097 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2))))
1.097 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.098 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.098 * [taylor]: Taking taylor expansion of x in y
1.098 * [backup-simplify]: Simplify x into x
1.098 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.098 * [taylor]: Taking taylor expansion of 2 in y
1.098 * [backup-simplify]: Simplify 2 into 2
1.098 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.098 * [taylor]: Taking taylor expansion of y in y
1.098 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify 1 into 1
1.098 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.098 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.098 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.098 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.098 * [backup-simplify]: Simplify (+ 0 0) into 0
1.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.099 * [taylor]: Taking taylor expansion of x in x
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify 1 into 1
1.099 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.099 * [taylor]: Taking taylor expansion of 2 in x
1.099 * [backup-simplify]: Simplify 2 into 2
1.099 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.099 * [taylor]: Taking taylor expansion of y in x
1.099 * [backup-simplify]: Simplify y into y
1.099 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.099 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
1.099 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
1.099 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
1.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.100 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
1.100 * [backup-simplify]: Simplify (+ 0 0) into 0
1.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.100 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.100 * [taylor]: Taking taylor expansion of x in x
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify 1 into 1
1.100 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.100 * [taylor]: Taking taylor expansion of 2 in x
1.100 * [backup-simplify]: Simplify 2 into 2
1.100 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.100 * [taylor]: Taking taylor expansion of y in x
1.100 * [backup-simplify]: Simplify y into y
1.100 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.100 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
1.100 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
1.101 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
1.101 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.101 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
1.101 * [backup-simplify]: Simplify (+ 0 0) into 0
1.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
1.101 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.101 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.101 * [taylor]: Taking taylor expansion of 2 in y
1.101 * [backup-simplify]: Simplify 2 into 2
1.102 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.102 * [taylor]: Taking taylor expansion of y in y
1.102 * [backup-simplify]: Simplify 0 into 0
1.102 * [backup-simplify]: Simplify 1 into 1
1.103 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [taylor]: Taking taylor expansion of 0 in y
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 0 into 0
1.104 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
1.104 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.104 * [backup-simplify]: Simplify (* 1 1) into 1
1.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
1.106 * [backup-simplify]: Simplify (+ 1 0) into 1
1.106 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y))
1.106 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
1.106 * [taylor]: Taking taylor expansion of 1/2 in y
1.106 * [backup-simplify]: Simplify 1/2 into 1/2
1.106 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.106 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.106 * [taylor]: Taking taylor expansion of 2 in y
1.107 * [backup-simplify]: Simplify 2 into 2
1.107 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.107 * [taylor]: Taking taylor expansion of y in y
1.107 * [backup-simplify]: Simplify 0 into 0
1.107 * [backup-simplify]: Simplify 1 into 1
1.108 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1.109 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
1.109 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
1.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1.111 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.111 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
1.111 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1.113 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.114 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
1.115 * [backup-simplify]: Simplify (+ 0 0) into 0
1.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0
1.115 * [taylor]: Taking taylor expansion of 0 in y
1.115 * [backup-simplify]: Simplify 0 into 0
1.115 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1.117 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.118 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
1.118 * [backup-simplify]: Simplify 0 into 0
1.118 * [backup-simplify]: Simplify 0 into 0
1.118 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y)
1.119 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
1.119 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.119 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.119 * [taylor]: Taking taylor expansion of x in y
1.119 * [backup-simplify]: Simplify x into x
1.119 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.119 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.119 * [taylor]: Taking taylor expansion of 2 in y
1.119 * [backup-simplify]: Simplify 2 into 2
1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.119 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.119 * [taylor]: Taking taylor expansion of y in y
1.119 * [backup-simplify]: Simplify 0 into 0
1.119 * [backup-simplify]: Simplify 1 into 1
1.119 * [backup-simplify]: Simplify (* 1 1) into 1
1.119 * [backup-simplify]: Simplify (/ 1 1) into 1
1.120 * [backup-simplify]: Simplify (* 2 1) into 2
1.120 * [backup-simplify]: Simplify (+ 0 2) into 2
1.121 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.122 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.122 * [backup-simplify]: Simplify (+ 0 0) into 0
1.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.123 * [taylor]: Taking taylor expansion of x in x
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 1 into 1
1.123 * [backup-simplify]: Simplify (* 1 1) into 1
1.123 * [backup-simplify]: Simplify (/ 1 1) into 1
1.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.123 * [taylor]: Taking taylor expansion of 2 in x
1.123 * [backup-simplify]: Simplify 2 into 2
1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.123 * [taylor]: Taking taylor expansion of y in x
1.123 * [backup-simplify]: Simplify y into y
1.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.124 * [backup-simplify]: Simplify (+ 1 0) into 1
1.124 * [backup-simplify]: Simplify (sqrt 1) into 1
1.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.125 * [backup-simplify]: Simplify (+ 0 0) into 0
1.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.126 * [taylor]: Taking taylor expansion of x in x
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 1 into 1
1.126 * [backup-simplify]: Simplify (* 1 1) into 1
1.126 * [backup-simplify]: Simplify (/ 1 1) into 1
1.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.126 * [taylor]: Taking taylor expansion of 2 in x
1.126 * [backup-simplify]: Simplify 2 into 2
1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.126 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.126 * [taylor]: Taking taylor expansion of y in x
1.126 * [backup-simplify]: Simplify y into y
1.126 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.127 * [backup-simplify]: Simplify (+ 1 0) into 1
1.127 * [backup-simplify]: Simplify (sqrt 1) into 1
1.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.128 * [backup-simplify]: Simplify (+ 0 0) into 0
1.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.129 * [taylor]: Taking taylor expansion of 1 in y
1.129 * [backup-simplify]: Simplify 1 into 1
1.129 * [taylor]: Taking taylor expansion of 0 in y
1.129 * [backup-simplify]: Simplify 0 into 0
1.129 * [backup-simplify]: Simplify 1 into 1
1.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.130 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
1.130 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
1.131 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.131 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.131 * [taylor]: Taking taylor expansion of y in y
1.131 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify 1 into 1
1.131 * [backup-simplify]: Simplify (* 1 1) into 1
1.131 * [backup-simplify]: Simplify (/ 1 1) into 1
1.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 0 into 0
1.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.134 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.134 * [backup-simplify]: Simplify (+ 0 0) into 0
1.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
1.135 * [taylor]: Taking taylor expansion of 0 in y
1.135 * [backup-simplify]: Simplify 0 into 0
1.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.136 * [backup-simplify]: Simplify 0 into 0
1.136 * [backup-simplify]: Simplify 0 into 0
1.136 * [backup-simplify]: Simplify 0 into 0
1.136 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.136 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
1.136 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.136 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.136 * [taylor]: Taking taylor expansion of x in y
1.136 * [backup-simplify]: Simplify x into x
1.136 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.136 * [taylor]: Taking taylor expansion of 2 in y
1.137 * [backup-simplify]: Simplify 2 into 2
1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.137 * [taylor]: Taking taylor expansion of y in y
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 1 into 1
1.137 * [backup-simplify]: Simplify (* 1 1) into 1
1.137 * [backup-simplify]: Simplify (/ 1 1) into 1
1.137 * [backup-simplify]: Simplify (* 2 1) into 2
1.138 * [backup-simplify]: Simplify (+ 0 2) into 2
1.138 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.139 * [backup-simplify]: Simplify (+ 0 0) into 0
1.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.140 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.140 * [taylor]: Taking taylor expansion of x in x
1.140 * [backup-simplify]: Simplify 0 into 0
1.140 * [backup-simplify]: Simplify 1 into 1
1.140 * [backup-simplify]: Simplify (* 1 1) into 1
1.140 * [backup-simplify]: Simplify (/ 1 1) into 1
1.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.140 * [taylor]: Taking taylor expansion of 2 in x
1.140 * [backup-simplify]: Simplify 2 into 2
1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.140 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.140 * [taylor]: Taking taylor expansion of y in x
1.141 * [backup-simplify]: Simplify y into y
1.141 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.141 * [backup-simplify]: Simplify (+ 1 0) into 1
1.141 * [backup-simplify]: Simplify (sqrt 1) into 1
1.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.142 * [backup-simplify]: Simplify (+ 0 0) into 0
1.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.143 * [taylor]: Taking taylor expansion of x in x
1.143 * [backup-simplify]: Simplify 0 into 0
1.143 * [backup-simplify]: Simplify 1 into 1
1.143 * [backup-simplify]: Simplify (* 1 1) into 1
1.143 * [backup-simplify]: Simplify (/ 1 1) into 1
1.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.143 * [taylor]: Taking taylor expansion of 2 in x
1.143 * [backup-simplify]: Simplify 2 into 2
1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.143 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.143 * [taylor]: Taking taylor expansion of y in x
1.143 * [backup-simplify]: Simplify y into y
1.143 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.144 * [backup-simplify]: Simplify (+ 1 0) into 1
1.144 * [backup-simplify]: Simplify (sqrt 1) into 1
1.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.145 * [backup-simplify]: Simplify (+ 0 0) into 0
1.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.146 * [taylor]: Taking taylor expansion of 1 in y
1.146 * [backup-simplify]: Simplify 1 into 1
1.146 * [taylor]: Taking taylor expansion of 0 in y
1.146 * [backup-simplify]: Simplify 0 into 0
1.146 * [backup-simplify]: Simplify 1 into 1
1.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.147 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
1.147 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
1.148 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.148 * [taylor]: Taking taylor expansion of y in y
1.148 * [backup-simplify]: Simplify 0 into 0
1.148 * [backup-simplify]: Simplify 1 into 1
1.148 * [backup-simplify]: Simplify (* 1 1) into 1
1.152 * [backup-simplify]: Simplify (/ 1 1) into 1
1.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.153 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.155 * [backup-simplify]: Simplify (+ 0 0) into 0
1.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
1.155 * [taylor]: Taking taylor expansion of 0 in y
1.155 * [backup-simplify]: Simplify 0 into 0
1.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.157 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
1.157 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2))))
1.157 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
1.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.157 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.157 * [taylor]: Taking taylor expansion of x in y
1.157 * [backup-simplify]: Simplify x into x
1.157 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.157 * [taylor]: Taking taylor expansion of 2 in y
1.157 * [backup-simplify]: Simplify 2 into 2
1.157 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.157 * [taylor]: Taking taylor expansion of y in y
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [backup-simplify]: Simplify 1 into 1
1.157 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.157 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.157 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.157 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.158 * [backup-simplify]: Simplify (+ 0 0) into 0
1.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.158 * [taylor]: Taking taylor expansion of x in x
1.158 * [backup-simplify]: Simplify 0 into 0
1.158 * [backup-simplify]: Simplify 1 into 1
1.158 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.158 * [taylor]: Taking taylor expansion of 2 in x
1.158 * [backup-simplify]: Simplify 2 into 2
1.158 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.158 * [taylor]: Taking taylor expansion of y in x
1.158 * [backup-simplify]: Simplify y into y
1.158 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.158 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
1.158 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
1.158 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
1.158 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
1.159 * [backup-simplify]: Simplify (+ 0 0) into 0
1.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
1.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.159 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.159 * [taylor]: Taking taylor expansion of x in x
1.159 * [backup-simplify]: Simplify 0 into 0
1.159 * [backup-simplify]: Simplify 1 into 1
1.159 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.159 * [taylor]: Taking taylor expansion of 2 in x
1.159 * [backup-simplify]: Simplify 2 into 2
1.159 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.159 * [taylor]: Taking taylor expansion of y in x
1.159 * [backup-simplify]: Simplify y into y
1.159 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.159 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
1.160 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
1.160 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
1.160 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
1.160 * [backup-simplify]: Simplify (+ 0 0) into 0
1.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
1.160 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.160 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.161 * [taylor]: Taking taylor expansion of 2 in y
1.161 * [backup-simplify]: Simplify 2 into 2
1.161 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.161 * [taylor]: Taking taylor expansion of y in y
1.161 * [backup-simplify]: Simplify 0 into 0
1.161 * [backup-simplify]: Simplify 1 into 1
1.162 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [taylor]: Taking taylor expansion of 0 in y
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify 0 into 0
1.163 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
1.163 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.163 * [backup-simplify]: Simplify (* 1 1) into 1
1.164 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
1.165 * [backup-simplify]: Simplify (+ 1 0) into 1
1.165 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y))
1.165 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
1.165 * [taylor]: Taking taylor expansion of 1/2 in y
1.165 * [backup-simplify]: Simplify 1/2 into 1/2
1.165 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.165 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.165 * [taylor]: Taking taylor expansion of 2 in y
1.165 * [backup-simplify]: Simplify 2 into 2
1.166 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.166 * [taylor]: Taking taylor expansion of y in y
1.166 * [backup-simplify]: Simplify 0 into 0
1.166 * [backup-simplify]: Simplify 1 into 1
1.166 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1.168 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
1.168 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
1.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1.170 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.170 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
1.170 * [backup-simplify]: Simplify 0 into 0
1.170 * [backup-simplify]: Simplify 0 into 0
1.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1.172 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.172 * [backup-simplify]: Simplify 0 into 0
1.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.173 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.174 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
1.174 * [backup-simplify]: Simplify (+ 0 0) into 0
1.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0
1.174 * [taylor]: Taking taylor expansion of 0 in y
1.174 * [backup-simplify]: Simplify 0 into 0
1.174 * [backup-simplify]: Simplify 0 into 0
1.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1.176 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.177 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
1.177 * [backup-simplify]: Simplify 0 into 0
1.177 * [backup-simplify]: Simplify 0 into 0
1.177 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y)
1.177 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
1.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.177 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.177 * [taylor]: Taking taylor expansion of x in y
1.177 * [backup-simplify]: Simplify x into x
1.177 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.178 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.178 * [taylor]: Taking taylor expansion of 2 in y
1.178 * [backup-simplify]: Simplify 2 into 2
1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.178 * [taylor]: Taking taylor expansion of y in y
1.178 * [backup-simplify]: Simplify 0 into 0
1.178 * [backup-simplify]: Simplify 1 into 1
1.178 * [backup-simplify]: Simplify (* 1 1) into 1
1.178 * [backup-simplify]: Simplify (/ 1 1) into 1
1.178 * [backup-simplify]: Simplify (* 2 1) into 2
1.179 * [backup-simplify]: Simplify (+ 0 2) into 2
1.179 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.180 * [backup-simplify]: Simplify (+ 0 0) into 0
1.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.181 * [taylor]: Taking taylor expansion of x in x
1.181 * [backup-simplify]: Simplify 0 into 0
1.181 * [backup-simplify]: Simplify 1 into 1
1.181 * [backup-simplify]: Simplify (* 1 1) into 1
1.181 * [backup-simplify]: Simplify (/ 1 1) into 1
1.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.181 * [taylor]: Taking taylor expansion of 2 in x
1.181 * [backup-simplify]: Simplify 2 into 2
1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.182 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.182 * [taylor]: Taking taylor expansion of y in x
1.182 * [backup-simplify]: Simplify y into y
1.182 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.182 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.182 * [backup-simplify]: Simplify (+ 1 0) into 1
1.182 * [backup-simplify]: Simplify (sqrt 1) into 1
1.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.183 * [backup-simplify]: Simplify (+ 0 0) into 0
1.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.184 * [taylor]: Taking taylor expansion of x in x
1.184 * [backup-simplify]: Simplify 0 into 0
1.184 * [backup-simplify]: Simplify 1 into 1
1.184 * [backup-simplify]: Simplify (* 1 1) into 1
1.184 * [backup-simplify]: Simplify (/ 1 1) into 1
1.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.184 * [taylor]: Taking taylor expansion of 2 in x
1.184 * [backup-simplify]: Simplify 2 into 2
1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.184 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.184 * [taylor]: Taking taylor expansion of y in x
1.184 * [backup-simplify]: Simplify y into y
1.184 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.185 * [backup-simplify]: Simplify (+ 1 0) into 1
1.185 * [backup-simplify]: Simplify (sqrt 1) into 1
1.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.186 * [backup-simplify]: Simplify (+ 0 0) into 0
1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.187 * [taylor]: Taking taylor expansion of 1 in y
1.187 * [backup-simplify]: Simplify 1 into 1
1.187 * [taylor]: Taking taylor expansion of 0 in y
1.187 * [backup-simplify]: Simplify 0 into 0
1.187 * [backup-simplify]: Simplify 1 into 1
1.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.188 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
1.188 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
1.189 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.189 * [taylor]: Taking taylor expansion of y in y
1.189 * [backup-simplify]: Simplify 0 into 0
1.189 * [backup-simplify]: Simplify 1 into 1
1.189 * [backup-simplify]: Simplify (* 1 1) into 1
1.190 * [backup-simplify]: Simplify (/ 1 1) into 1
1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.190 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.192 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.193 * [backup-simplify]: Simplify (+ 0 0) into 0
1.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
1.193 * [taylor]: Taking taylor expansion of 0 in y
1.193 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.195 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
1.195 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.195 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.195 * [taylor]: Taking taylor expansion of x in y
1.195 * [backup-simplify]: Simplify x into x
1.195 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.195 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.195 * [taylor]: Taking taylor expansion of 2 in y
1.195 * [backup-simplify]: Simplify 2 into 2
1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.195 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.195 * [taylor]: Taking taylor expansion of y in y
1.195 * [backup-simplify]: Simplify 0 into 0
1.195 * [backup-simplify]: Simplify 1 into 1
1.195 * [backup-simplify]: Simplify (* 1 1) into 1
1.195 * [backup-simplify]: Simplify (/ 1 1) into 1
1.196 * [backup-simplify]: Simplify (* 2 1) into 2
1.196 * [backup-simplify]: Simplify (+ 0 2) into 2
1.196 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.198 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.198 * [backup-simplify]: Simplify (+ 0 0) into 0
1.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.198 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.198 * [taylor]: Taking taylor expansion of x in x
1.198 * [backup-simplify]: Simplify 0 into 0
1.198 * [backup-simplify]: Simplify 1 into 1
1.199 * [backup-simplify]: Simplify (* 1 1) into 1
1.199 * [backup-simplify]: Simplify (/ 1 1) into 1
1.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.199 * [taylor]: Taking taylor expansion of 2 in x
1.199 * [backup-simplify]: Simplify 2 into 2
1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.199 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.199 * [taylor]: Taking taylor expansion of y in x
1.199 * [backup-simplify]: Simplify y into y
1.199 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.199 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.199 * [backup-simplify]: Simplify (+ 1 0) into 1
1.200 * [backup-simplify]: Simplify (sqrt 1) into 1
1.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.201 * [backup-simplify]: Simplify (+ 0 0) into 0
1.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.201 * [taylor]: Taking taylor expansion of x in x
1.201 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify 1 into 1
1.202 * [backup-simplify]: Simplify (* 1 1) into 1
1.202 * [backup-simplify]: Simplify (/ 1 1) into 1
1.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.202 * [taylor]: Taking taylor expansion of 2 in x
1.202 * [backup-simplify]: Simplify 2 into 2
1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.202 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.202 * [taylor]: Taking taylor expansion of y in x
1.202 * [backup-simplify]: Simplify y into y
1.202 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.202 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.202 * [backup-simplify]: Simplify (+ 1 0) into 1
1.203 * [backup-simplify]: Simplify (sqrt 1) into 1
1.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.204 * [backup-simplify]: Simplify (+ 0 0) into 0
1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.204 * [taylor]: Taking taylor expansion of 1 in y
1.204 * [backup-simplify]: Simplify 1 into 1
1.204 * [taylor]: Taking taylor expansion of 0 in y
1.204 * [backup-simplify]: Simplify 0 into 0
1.204 * [backup-simplify]: Simplify 1 into 1
1.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
1.206 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
1.207 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.207 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.207 * [taylor]: Taking taylor expansion of y in y
1.207 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify 1 into 1
1.207 * [backup-simplify]: Simplify (* 1 1) into 1
1.207 * [backup-simplify]: Simplify (/ 1 1) into 1
1.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.208 * [backup-simplify]: Simplify 0 into 0
1.208 * [backup-simplify]: Simplify 0 into 0
1.208 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.210 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.210 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.211 * [backup-simplify]: Simplify (+ 0 0) into 0
1.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
1.211 * [taylor]: Taking taylor expansion of 0 in y
1.211 * [backup-simplify]: Simplify 0 into 0
1.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.212 * [backup-simplify]: Simplify 0 into 0
1.212 * [backup-simplify]: Simplify 0 into 0
1.212 * [backup-simplify]: Simplify 0 into 0
1.212 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.212 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
1.213 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) into (+ (pow x 2) (* 2 (pow y 2)))
1.213 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0
1.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.213 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.213 * [taylor]: Taking taylor expansion of x in y
1.213 * [backup-simplify]: Simplify x into x
1.213 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.213 * [taylor]: Taking taylor expansion of 2 in y
1.213 * [backup-simplify]: Simplify 2 into 2
1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.213 * [taylor]: Taking taylor expansion of y in y
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [backup-simplify]: Simplify 1 into 1
1.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.213 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.213 * [taylor]: Taking taylor expansion of x in x
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [backup-simplify]: Simplify 1 into 1
1.213 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.213 * [taylor]: Taking taylor expansion of 2 in x
1.213 * [backup-simplify]: Simplify 2 into 2
1.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.213 * [taylor]: Taking taylor expansion of y in x
1.213 * [backup-simplify]: Simplify y into y
1.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.213 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.213 * [taylor]: Taking taylor expansion of x in x
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [backup-simplify]: Simplify 1 into 1
1.213 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.213 * [taylor]: Taking taylor expansion of 2 in x
1.213 * [backup-simplify]: Simplify 2 into 2
1.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.213 * [taylor]: Taking taylor expansion of y in x
1.213 * [backup-simplify]: Simplify y into y
1.213 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.213 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
1.214 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
1.214 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.214 * [taylor]: Taking taylor expansion of 2 in y
1.214 * [backup-simplify]: Simplify 2 into 2
1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.214 * [taylor]: Taking taylor expansion of y in y
1.214 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify 1 into 1
1.214 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.214 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
1.214 * [backup-simplify]: Simplify (+ 0 0) into 0
1.214 * [taylor]: Taking taylor expansion of 0 in y
1.214 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify 0 into 0
1.215 * [backup-simplify]: Simplify (* 1 1) into 1
1.215 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
1.216 * [backup-simplify]: Simplify (+ 1 0) into 1
1.216 * [taylor]: Taking taylor expansion of 1 in y
1.216 * [backup-simplify]: Simplify 1 into 1
1.216 * [backup-simplify]: Simplify 1 into 1
1.216 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify (* 1 1) into 1
1.216 * [backup-simplify]: Simplify (* 2 1) into 2
1.216 * [backup-simplify]: Simplify 2 into 2
1.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.217 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
1.218 * [backup-simplify]: Simplify (+ 0 0) into 0
1.218 * [taylor]: Taking taylor expansion of 0 in y
1.218 * [backup-simplify]: Simplify 0 into 0
1.218 * [backup-simplify]: Simplify 0 into 0
1.218 * [backup-simplify]: Simplify 0 into 0
1.219 * [backup-simplify]: Simplify 0 into 0
1.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.220 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.220 * [backup-simplify]: Simplify 0 into 0
1.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.221 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
1.222 * [backup-simplify]: Simplify (+ 0 0) into 0
1.222 * [taylor]: Taking taylor expansion of 0 in y
1.222 * [backup-simplify]: Simplify 0 into 0
1.222 * [backup-simplify]: Simplify 0 into 0
1.222 * [backup-simplify]: Simplify 0 into 0
1.222 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2)))
1.223 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))
1.223 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.223 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.223 * [taylor]: Taking taylor expansion of x in y
1.223 * [backup-simplify]: Simplify x into x
1.223 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.223 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.223 * [taylor]: Taking taylor expansion of 2 in y
1.223 * [backup-simplify]: Simplify 2 into 2
1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.223 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.223 * [taylor]: Taking taylor expansion of y in y
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify 1 into 1
1.224 * [backup-simplify]: Simplify (* 1 1) into 1
1.224 * [backup-simplify]: Simplify (/ 1 1) into 1
1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.224 * [taylor]: Taking taylor expansion of x in x
1.224 * [backup-simplify]: Simplify 0 into 0
1.224 * [backup-simplify]: Simplify 1 into 1
1.224 * [backup-simplify]: Simplify (* 1 1) into 1
1.224 * [backup-simplify]: Simplify (/ 1 1) into 1
1.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.224 * [taylor]: Taking taylor expansion of 2 in x
1.224 * [backup-simplify]: Simplify 2 into 2
1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.225 * [taylor]: Taking taylor expansion of y in x
1.225 * [backup-simplify]: Simplify y into y
1.225 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.225 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.225 * [taylor]: Taking taylor expansion of x in x
1.225 * [backup-simplify]: Simplify 0 into 0
1.225 * [backup-simplify]: Simplify 1 into 1
1.225 * [backup-simplify]: Simplify (* 1 1) into 1
1.225 * [backup-simplify]: Simplify (/ 1 1) into 1
1.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.225 * [taylor]: Taking taylor expansion of 2 in x
1.225 * [backup-simplify]: Simplify 2 into 2
1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.225 * [taylor]: Taking taylor expansion of y in x
1.225 * [backup-simplify]: Simplify y into y
1.225 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.226 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.226 * [backup-simplify]: Simplify (+ 1 0) into 1
1.226 * [taylor]: Taking taylor expansion of 1 in y
1.226 * [backup-simplify]: Simplify 1 into 1
1.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.227 * [backup-simplify]: Simplify (+ 0 0) into 0
1.227 * [taylor]: Taking taylor expansion of 0 in y
1.227 * [backup-simplify]: Simplify 0 into 0
1.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.228 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
1.228 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
1.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.228 * [taylor]: Taking taylor expansion of 2 in y
1.228 * [backup-simplify]: Simplify 2 into 2
1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.228 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.228 * [taylor]: Taking taylor expansion of y in y
1.228 * [backup-simplify]: Simplify 0 into 0
1.229 * [backup-simplify]: Simplify 1 into 1
1.229 * [backup-simplify]: Simplify (* 1 1) into 1
1.229 * [backup-simplify]: Simplify (/ 1 1) into 1
1.229 * [backup-simplify]: Simplify (* 2 1) into 2
1.229 * [backup-simplify]: Simplify 2 into 2
1.229 * [backup-simplify]: Simplify 1 into 1
1.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.231 * [backup-simplify]: Simplify (+ 0 0) into 0
1.231 * [taylor]: Taking taylor expansion of 0 in y
1.231 * [backup-simplify]: Simplify 0 into 0
1.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.233 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.233 * [backup-simplify]: Simplify 0 into 0
1.233 * [backup-simplify]: Simplify 0 into 0
1.233 * [backup-simplify]: Simplify 0 into 0
1.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
1.235 * [backup-simplify]: Simplify (+ 0 0) into 0
1.236 * [taylor]: Taking taylor expansion of 0 in y
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.237 * [backup-simplify]: Simplify 0 into 0
1.237 * [backup-simplify]: Simplify 0 into 0
1.237 * [backup-simplify]: Simplify 0 into 0
1.238 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2)))
1.238 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))
1.238 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.238 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.238 * [taylor]: Taking taylor expansion of x in y
1.238 * [backup-simplify]: Simplify x into x
1.238 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.238 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.239 * [taylor]: Taking taylor expansion of 2 in y
1.239 * [backup-simplify]: Simplify 2 into 2
1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.239 * [taylor]: Taking taylor expansion of y in y
1.239 * [backup-simplify]: Simplify 0 into 0
1.239 * [backup-simplify]: Simplify 1 into 1
1.239 * [backup-simplify]: Simplify (* 1 1) into 1
1.239 * [backup-simplify]: Simplify (/ 1 1) into 1
1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.239 * [taylor]: Taking taylor expansion of x in x
1.239 * [backup-simplify]: Simplify 0 into 0
1.239 * [backup-simplify]: Simplify 1 into 1
1.240 * [backup-simplify]: Simplify (* 1 1) into 1
1.240 * [backup-simplify]: Simplify (/ 1 1) into 1
1.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.240 * [taylor]: Taking taylor expansion of 2 in x
1.240 * [backup-simplify]: Simplify 2 into 2
1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.240 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.240 * [taylor]: Taking taylor expansion of y in x
1.240 * [backup-simplify]: Simplify y into y
1.240 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.240 * [taylor]: Taking taylor expansion of x in x
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 1 into 1
1.240 * [backup-simplify]: Simplify (* 1 1) into 1
1.241 * [backup-simplify]: Simplify (/ 1 1) into 1
1.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.241 * [taylor]: Taking taylor expansion of 2 in x
1.241 * [backup-simplify]: Simplify 2 into 2
1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.241 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.241 * [taylor]: Taking taylor expansion of y in x
1.241 * [backup-simplify]: Simplify y into y
1.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.241 * [backup-simplify]: Simplify (+ 1 0) into 1
1.241 * [taylor]: Taking taylor expansion of 1 in y
1.241 * [backup-simplify]: Simplify 1 into 1
1.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.242 * [backup-simplify]: Simplify (+ 0 0) into 0
1.242 * [taylor]: Taking taylor expansion of 0 in y
1.242 * [backup-simplify]: Simplify 0 into 0
1.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.244 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
1.244 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
1.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.244 * [taylor]: Taking taylor expansion of 2 in y
1.244 * [backup-simplify]: Simplify 2 into 2
1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.244 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.244 * [taylor]: Taking taylor expansion of y in y
1.244 * [backup-simplify]: Simplify 0 into 0
1.244 * [backup-simplify]: Simplify 1 into 1
1.244 * [backup-simplify]: Simplify (* 1 1) into 1
1.244 * [backup-simplify]: Simplify (/ 1 1) into 1
1.248 * [backup-simplify]: Simplify (* 2 1) into 2
1.248 * [backup-simplify]: Simplify 2 into 2
1.248 * [backup-simplify]: Simplify 1 into 1
1.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.250 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.250 * [backup-simplify]: Simplify (+ 0 0) into 0
1.251 * [taylor]: Taking taylor expansion of 0 in y
1.251 * [backup-simplify]: Simplify 0 into 0
1.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.252 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 0 into 0
1.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.253 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
1.255 * [backup-simplify]: Simplify (+ 0 0) into 0
1.255 * [taylor]: Taking taylor expansion of 0 in y
1.255 * [backup-simplify]: Simplify 0 into 0
1.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.256 * [backup-simplify]: Simplify 0 into 0
1.256 * [backup-simplify]: Simplify 0 into 0
1.256 * [backup-simplify]: Simplify 0 into 0
1.257 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2)))
1.257 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1.257 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) into (+ (pow x 2) (* 3 (pow y 2)))
1.257 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0
1.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
1.257 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.257 * [taylor]: Taking taylor expansion of x in y
1.257 * [backup-simplify]: Simplify x into x
1.257 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
1.257 * [taylor]: Taking taylor expansion of 3 in y
1.257 * [backup-simplify]: Simplify 3 into 3
1.257 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.257 * [taylor]: Taking taylor expansion of y in y
1.257 * [backup-simplify]: Simplify 0 into 0
1.257 * [backup-simplify]: Simplify 1 into 1
1.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
1.257 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.257 * [taylor]: Taking taylor expansion of x in x
1.257 * [backup-simplify]: Simplify 0 into 0
1.257 * [backup-simplify]: Simplify 1 into 1
1.257 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
1.257 * [taylor]: Taking taylor expansion of 3 in x
1.257 * [backup-simplify]: Simplify 3 into 3
1.257 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.257 * [taylor]: Taking taylor expansion of y in x
1.257 * [backup-simplify]: Simplify y into y
1.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.258 * [taylor]: Taking taylor expansion of x in x
1.258 * [backup-simplify]: Simplify 0 into 0
1.258 * [backup-simplify]: Simplify 1 into 1
1.258 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
1.258 * [taylor]: Taking taylor expansion of 3 in x
1.258 * [backup-simplify]: Simplify 3 into 3
1.258 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.258 * [taylor]: Taking taylor expansion of y in x
1.258 * [backup-simplify]: Simplify y into y
1.258 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.258 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
1.258 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
1.258 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
1.258 * [taylor]: Taking taylor expansion of 3 in y
1.258 * [backup-simplify]: Simplify 3 into 3
1.258 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.258 * [taylor]: Taking taylor expansion of y in y
1.258 * [backup-simplify]: Simplify 0 into 0
1.258 * [backup-simplify]: Simplify 1 into 1
1.258 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.258 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
1.259 * [backup-simplify]: Simplify (+ 0 0) into 0
1.259 * [taylor]: Taking taylor expansion of 0 in y
1.259 * [backup-simplify]: Simplify 0 into 0
1.259 * [backup-simplify]: Simplify 0 into 0
1.259 * [backup-simplify]: Simplify (* 1 1) into 1
1.259 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.260 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
1.260 * [backup-simplify]: Simplify (+ 1 0) into 1
1.260 * [taylor]: Taking taylor expansion of 1 in y
1.260 * [backup-simplify]: Simplify 1 into 1
1.260 * [backup-simplify]: Simplify 1 into 1
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify (* 1 1) into 1
1.261 * [backup-simplify]: Simplify (* 3 1) into 3
1.261 * [backup-simplify]: Simplify 3 into 3
1.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.262 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
1.263 * [backup-simplify]: Simplify (+ 0 0) into 0
1.263 * [taylor]: Taking taylor expansion of 0 in y
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.264 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.265 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.266 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
1.266 * [backup-simplify]: Simplify (+ 0 0) into 0
1.266 * [taylor]: Taking taylor expansion of 0 in y
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
1.267 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
1.267 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.267 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.267 * [taylor]: Taking taylor expansion of x in y
1.267 * [backup-simplify]: Simplify x into x
1.267 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.267 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.267 * [taylor]: Taking taylor expansion of 3 in y
1.267 * [backup-simplify]: Simplify 3 into 3
1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.267 * [taylor]: Taking taylor expansion of y in y
1.267 * [backup-simplify]: Simplify 0 into 0
1.267 * [backup-simplify]: Simplify 1 into 1
1.268 * [backup-simplify]: Simplify (* 1 1) into 1
1.268 * [backup-simplify]: Simplify (/ 1 1) into 1
1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.268 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.268 * [taylor]: Taking taylor expansion of x in x
1.268 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify 1 into 1
1.268 * [backup-simplify]: Simplify (* 1 1) into 1
1.269 * [backup-simplify]: Simplify (/ 1 1) into 1
1.269 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
1.269 * [taylor]: Taking taylor expansion of 3 in x
1.269 * [backup-simplify]: Simplify 3 into 3
1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.269 * [taylor]: Taking taylor expansion of y in x
1.269 * [backup-simplify]: Simplify y into y
1.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.269 * [taylor]: Taking taylor expansion of x in x
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 1 into 1
1.269 * [backup-simplify]: Simplify (* 1 1) into 1
1.270 * [backup-simplify]: Simplify (/ 1 1) into 1
1.270 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
1.270 * [taylor]: Taking taylor expansion of 3 in x
1.270 * [backup-simplify]: Simplify 3 into 3
1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.270 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.270 * [taylor]: Taking taylor expansion of y in x
1.270 * [backup-simplify]: Simplify y into y
1.270 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.270 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.270 * [backup-simplify]: Simplify (+ 1 0) into 1
1.270 * [taylor]: Taking taylor expansion of 1 in y
1.270 * [backup-simplify]: Simplify 1 into 1
1.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.272 * [backup-simplify]: Simplify (+ 0 0) into 0
1.272 * [taylor]: Taking taylor expansion of 0 in y
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.273 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
1.273 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
1.273 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.273 * [taylor]: Taking taylor expansion of 3 in y
1.273 * [backup-simplify]: Simplify 3 into 3
1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.273 * [taylor]: Taking taylor expansion of y in y
1.273 * [backup-simplify]: Simplify 0 into 0
1.273 * [backup-simplify]: Simplify 1 into 1
1.273 * [backup-simplify]: Simplify (* 1 1) into 1
1.274 * [backup-simplify]: Simplify (/ 1 1) into 1
1.274 * [backup-simplify]: Simplify (* 3 1) into 3
1.274 * [backup-simplify]: Simplify 3 into 3
1.274 * [backup-simplify]: Simplify 1 into 1
1.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.275 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.276 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
1.276 * [backup-simplify]: Simplify (+ 0 0) into 0
1.276 * [taylor]: Taking taylor expansion of 0 in y
1.276 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.278 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
1.278 * [backup-simplify]: Simplify 0 into 0
1.278 * [backup-simplify]: Simplify 0 into 0
1.278 * [backup-simplify]: Simplify 0 into 0
1.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.279 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.280 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
1.281 * [backup-simplify]: Simplify (+ 0 0) into 0
1.281 * [taylor]: Taking taylor expansion of 0 in y
1.281 * [backup-simplify]: Simplify 0 into 0
1.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.282 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
1.282 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 0 into 0
1.283 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
1.283 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
1.283 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.284 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.284 * [taylor]: Taking taylor expansion of x in y
1.284 * [backup-simplify]: Simplify x into x
1.284 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.284 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.284 * [taylor]: Taking taylor expansion of 3 in y
1.284 * [backup-simplify]: Simplify 3 into 3
1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.284 * [taylor]: Taking taylor expansion of y in y
1.284 * [backup-simplify]: Simplify 0 into 0
1.284 * [backup-simplify]: Simplify 1 into 1
1.284 * [backup-simplify]: Simplify (* 1 1) into 1
1.284 * [backup-simplify]: Simplify (/ 1 1) into 1
1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.284 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.284 * [taylor]: Taking taylor expansion of x in x
1.284 * [backup-simplify]: Simplify 0 into 0
1.284 * [backup-simplify]: Simplify 1 into 1
1.285 * [backup-simplify]: Simplify (* 1 1) into 1
1.285 * [backup-simplify]: Simplify (/ 1 1) into 1
1.285 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
1.285 * [taylor]: Taking taylor expansion of 3 in x
1.285 * [backup-simplify]: Simplify 3 into 3
1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.285 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.285 * [taylor]: Taking taylor expansion of y in x
1.285 * [backup-simplify]: Simplify y into y
1.285 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.285 * [taylor]: Taking taylor expansion of x in x
1.285 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify 1 into 1
1.286 * [backup-simplify]: Simplify (* 1 1) into 1
1.286 * [backup-simplify]: Simplify (/ 1 1) into 1
1.286 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
1.286 * [taylor]: Taking taylor expansion of 3 in x
1.286 * [backup-simplify]: Simplify 3 into 3
1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.286 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.286 * [taylor]: Taking taylor expansion of y in x
1.286 * [backup-simplify]: Simplify y into y
1.286 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.286 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.286 * [backup-simplify]: Simplify (+ 1 0) into 1
1.286 * [taylor]: Taking taylor expansion of 1 in y
1.286 * [backup-simplify]: Simplify 1 into 1
1.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.287 * [backup-simplify]: Simplify (+ 0 0) into 0
1.287 * [taylor]: Taking taylor expansion of 0 in y
1.287 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.289 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
1.289 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
1.289 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.289 * [taylor]: Taking taylor expansion of 3 in y
1.289 * [backup-simplify]: Simplify 3 into 3
1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.289 * [taylor]: Taking taylor expansion of y in y
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 1 into 1
1.289 * [backup-simplify]: Simplify (* 1 1) into 1
1.289 * [backup-simplify]: Simplify (/ 1 1) into 1
1.290 * [backup-simplify]: Simplify (* 3 1) into 3
1.290 * [backup-simplify]: Simplify 3 into 3
1.290 * [backup-simplify]: Simplify 1 into 1
1.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.291 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.292 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
1.292 * [backup-simplify]: Simplify (+ 0 0) into 0
1.292 * [taylor]: Taking taylor expansion of 0 in y
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.293 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.295 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.296 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
1.296 * [backup-simplify]: Simplify (+ 0 0) into 0
1.296 * [taylor]: Taking taylor expansion of 0 in y
1.296 * [backup-simplify]: Simplify 0 into 0
1.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.298 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
1.298 * [backup-simplify]: Simplify 0 into 0
1.298 * [backup-simplify]: Simplify 0 into 0
1.298 * [backup-simplify]: Simplify 0 into 0
1.298 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
1.298 * * * [progress]: simplifying candidates
1.300 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))
  (sqrt (- (+ (* x x) (* y y)) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))
  (sqrt (- (+ (* x x) (* y y)) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (log (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (exp (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))))
  (* (sqrt (- (+ (* x x) (* y y)) (* y y))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))))
  (* (sqrt (- (+ (* x x) (* y y)) (* y y))) (sqrt (- (+ (* x x) (* y y)) (* y y))))
  (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt 1))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1)
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (exp (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (exp (* y y)))
  (log (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))
  (exp (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))
  (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))
  (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))
  (* (* (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))
  (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))
  (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))
  (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3))
  (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))
  (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y)))
  (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
1.301 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (log (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (+ 1 1)
 (+ (log (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (log (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (log (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (exp (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (cbrt (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (cbrt (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (cbrt (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3))) (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3))))
 (* (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3))) (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0)))))
 (* (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0)))) (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3))))
 (* (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0)))))
 (* (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* 1 1)
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) 1)
 (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0)))))
 (* (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (exp (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (exp (* h0 h0)))
 (log (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0)))
 (exp (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0)))
 (* (cbrt (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0))) (cbrt (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0))))
 (cbrt (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0)))
 (* (* (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0)) (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0))) (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0)))
 (sqrt (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0)))
 (sqrt (+ (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0)))
 (+ (pow (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) 3) (pow (* h0 h0) 3))
 (+ (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (- (* (* h0 h0) (* h0 h0)) (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0))))
 (- (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (* (* h0 h0) (* h0 h0)))
 (- (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* h0 h0))
 (* (sqrt 2) h0)
 h1
 (* -1 h1)
 (* (sqrt 2) h0)
 h1
 (* -1 h1)
 (+ (pow h1 2) (* 2 (pow h0 2)))
 (+ (pow h1 2) (* 2 (pow h0 2)))
 (+ (pow h1 2) (* 2 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
1.345 * * * [progress]: adding candidates to table
1.567 * * [progress]: iteration 3 / 4
1.567 * * * [progress]: picking best candidate
1.587 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))>
1.587 * * * [progress]: localizing error
1.600 * * * [progress]: generating rewritten candidates
1.600 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.721 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.838 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.329 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.446 * * * [progress]: generating series expansions
2.446 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.446 * [backup-simplify]: Simplify (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 3 (pow y 2))))
2.446 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0
2.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y
2.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
2.446 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.446 * [taylor]: Taking taylor expansion of x in y
2.446 * [backup-simplify]: Simplify x into x
2.446 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
2.446 * [taylor]: Taking taylor expansion of 3 in y
2.446 * [backup-simplify]: Simplify 3 into 3
2.446 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.446 * [taylor]: Taking taylor expansion of y in y
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 1 into 1
2.446 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.446 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.447 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.447 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.448 * [backup-simplify]: Simplify (+ 0 0) into 0
2.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x
2.448 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.448 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.448 * [taylor]: Taking taylor expansion of x in x
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 1 into 1
2.448 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.448 * [taylor]: Taking taylor expansion of 3 in x
2.448 * [backup-simplify]: Simplify 3 into 3
2.448 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.448 * [taylor]: Taking taylor expansion of y in x
2.448 * [backup-simplify]: Simplify y into y
2.448 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.448 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
2.448 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
2.448 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* (sqrt 3) y)
2.449 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.449 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
2.449 * [backup-simplify]: Simplify (+ 0 0) into 0
2.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0
2.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x
2.449 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.449 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.449 * [taylor]: Taking taylor expansion of x in x
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.450 * [taylor]: Taking taylor expansion of 3 in x
2.450 * [backup-simplify]: Simplify 3 into 3
2.450 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.450 * [taylor]: Taking taylor expansion of y in x
2.450 * [backup-simplify]: Simplify y into y
2.450 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.450 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
2.450 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
2.450 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* (sqrt 3) y)
2.450 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.450 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0
2.451 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y
2.451 * [taylor]: Taking taylor expansion of (sqrt 3) in y
2.451 * [taylor]: Taking taylor expansion of 3 in y
2.451 * [backup-simplify]: Simplify 3 into 3
2.451 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.452 * [taylor]: Taking taylor expansion of y in y
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.452 * [backup-simplify]: Simplify (* (sqrt 3) 0) into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [taylor]: Taking taylor expansion of 0 in y
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (+ (* (sqrt 3) 1) (* 0 0)) into (sqrt 3)
2.454 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.454 * [backup-simplify]: Simplify (* 1 1) into 1
2.454 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.455 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
2.455 * [backup-simplify]: Simplify (+ 1 0) into 1
2.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 3) y))) into (/ 1/2 (* (sqrt 3) y))
2.456 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y
2.456 * [taylor]: Taking taylor expansion of 1/2 in y
2.456 * [backup-simplify]: Simplify 1/2 into 1/2
2.456 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y
2.456 * [taylor]: Taking taylor expansion of (sqrt 3) in y
2.456 * [taylor]: Taking taylor expansion of 3 in y
2.456 * [backup-simplify]: Simplify 3 into 3
2.456 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.457 * [taylor]: Taking taylor expansion of y in y
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (* (sqrt 3) 0) into 0
2.458 * [backup-simplify]: Simplify (+ (* (sqrt 3) 1) (* 0 0)) into (sqrt 3)
2.459 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3))
2.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0
2.460 * [backup-simplify]: Simplify (+ (* (sqrt 3) 0) (+ (* 0 1) (* 0 0))) into 0
2.461 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0
2.462 * [backup-simplify]: Simplify (+ (* (sqrt 3) 0) (+ (* 0 1) (* 0 0))) into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.463 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.464 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
2.464 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 3) y)))))) (* 2 (* (sqrt 3) y))) into 0
2.465 * [taylor]: Taking taylor expansion of 0 in y
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3))) into 0
2.467 * [backup-simplify]: Simplify (+ (* (sqrt 3) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.467 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (* (sqrt 3) (* y 1)) into (* (sqrt 3) y)
2.468 * [backup-simplify]: Simplify (sqrt (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))))
2.468 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0
2.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y
2.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.468 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.468 * [taylor]: Taking taylor expansion of x in y
2.468 * [backup-simplify]: Simplify x into x
2.468 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.468 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.468 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.469 * [taylor]: Taking taylor expansion of 3 in y
2.469 * [backup-simplify]: Simplify 3 into 3
2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.469 * [taylor]: Taking taylor expansion of y in y
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [backup-simplify]: Simplify (* 1 1) into 1
2.469 * [backup-simplify]: Simplify (/ 1 1) into 1
2.469 * [backup-simplify]: Simplify (* 3 1) into 3
2.470 * [backup-simplify]: Simplify (+ 0 3) into 3
2.470 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.471 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.471 * [backup-simplify]: Simplify (+ 0 0) into 0
2.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.472 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.472 * [taylor]: Taking taylor expansion of x in x
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify (* 1 1) into 1
2.472 * [backup-simplify]: Simplify (/ 1 1) into 1
2.473 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.473 * [taylor]: Taking taylor expansion of 3 in x
2.473 * [backup-simplify]: Simplify 3 into 3
2.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.473 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.473 * [taylor]: Taking taylor expansion of y in x
2.473 * [backup-simplify]: Simplify y into y
2.473 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.473 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.473 * [backup-simplify]: Simplify (+ 1 0) into 1
2.473 * [backup-simplify]: Simplify (sqrt 1) into 1
2.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.474 * [backup-simplify]: Simplify (+ 0 0) into 0
2.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.475 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.475 * [taylor]: Taking taylor expansion of x in x
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify (* 1 1) into 1
2.476 * [backup-simplify]: Simplify (/ 1 1) into 1
2.476 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.476 * [taylor]: Taking taylor expansion of 3 in x
2.476 * [backup-simplify]: Simplify 3 into 3
2.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.476 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.476 * [taylor]: Taking taylor expansion of y in x
2.476 * [backup-simplify]: Simplify y into y
2.476 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.476 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.476 * [backup-simplify]: Simplify (+ 1 0) into 1
2.476 * [backup-simplify]: Simplify (sqrt 1) into 1
2.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.478 * [taylor]: Taking taylor expansion of 1 in y
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [taylor]: Taking taylor expansion of 0 in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.479 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.479 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.480 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow y 2))
2.480 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y
2.480 * [taylor]: Taking taylor expansion of 3/2 in y
2.480 * [backup-simplify]: Simplify 3/2 into 3/2
2.480 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.480 * [taylor]: Taking taylor expansion of y in y
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.481 * [backup-simplify]: Simplify (* 1 1) into 1
2.481 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2
2.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.483 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.484 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow y 2)))))) (* 2 1)) into 0
2.485 * [taylor]: Taking taylor expansion of 0 in y
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.486 * [backup-simplify]: Simplify (sqrt (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))))
2.486 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0
2.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y
2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.486 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.486 * [taylor]: Taking taylor expansion of x in y
2.486 * [backup-simplify]: Simplify x into x
2.487 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.487 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.487 * [taylor]: Taking taylor expansion of 3 in y
2.487 * [backup-simplify]: Simplify 3 into 3
2.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.487 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.487 * [taylor]: Taking taylor expansion of y in y
2.487 * [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 (* 3 1) into 3
2.488 * [backup-simplify]: Simplify (+ 0 3) into 3
2.488 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.490 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.490 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.490 * [taylor]: Taking taylor expansion of x in x
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify (* 1 1) into 1
2.491 * [backup-simplify]: Simplify (/ 1 1) into 1
2.491 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.491 * [taylor]: Taking taylor expansion of 3 in x
2.491 * [backup-simplify]: Simplify 3 into 3
2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.491 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.491 * [taylor]: Taking taylor expansion of y in x
2.491 * [backup-simplify]: Simplify y into y
2.491 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.491 * [backup-simplify]: Simplify (+ 1 0) into 1
2.492 * [backup-simplify]: Simplify (sqrt 1) into 1
2.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.493 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.493 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.493 * [taylor]: Taking taylor expansion of x in x
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [backup-simplify]: Simplify (* 1 1) into 1
2.494 * [backup-simplify]: Simplify (/ 1 1) into 1
2.494 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.494 * [taylor]: Taking taylor expansion of 3 in x
2.494 * [backup-simplify]: Simplify 3 into 3
2.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.494 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.494 * [taylor]: Taking taylor expansion of y in x
2.494 * [backup-simplify]: Simplify y into y
2.494 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.494 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.494 * [backup-simplify]: Simplify (+ 1 0) into 1
2.495 * [backup-simplify]: Simplify (sqrt 1) into 1
2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.496 * [taylor]: Taking taylor expansion of 1 in y
2.496 * [backup-simplify]: Simplify 1 into 1
2.496 * [taylor]: Taking taylor expansion of 0 in y
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 1 into 1
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.498 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.498 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow y 2))
2.498 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y
2.498 * [taylor]: Taking taylor expansion of 3/2 in y
2.498 * [backup-simplify]: Simplify 3/2 into 3/2
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
2.499 * [backup-simplify]: Simplify (* 1 1) into 1
2.499 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2
2.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.502 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.502 * [backup-simplify]: Simplify (+ 0 0) into 0
2.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow y 2)))))) (* 2 1)) into 0
2.502 * [taylor]: Taking taylor expansion of 0 in y
2.502 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.504 * [backup-simplify]: Simplify (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 3 (pow y 2))))
2.504 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0
2.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y
2.504 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
2.504 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.504 * [taylor]: Taking taylor expansion of x in y
2.504 * [backup-simplify]: Simplify x into x
2.504 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
2.504 * [taylor]: Taking taylor expansion of 3 in y
2.504 * [backup-simplify]: Simplify 3 into 3
2.504 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.504 * [taylor]: Taking taylor expansion of y in y
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.504 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.504 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.504 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x
2.505 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.505 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.505 * [taylor]: Taking taylor expansion of x in x
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 1 into 1
2.505 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.505 * [taylor]: Taking taylor expansion of 3 in x
2.505 * [backup-simplify]: Simplify 3 into 3
2.505 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.505 * [taylor]: Taking taylor expansion of y in x
2.505 * [backup-simplify]: Simplify y into y
2.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.505 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
2.505 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
2.505 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* (sqrt 3) y)
2.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.506 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0
2.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x
2.506 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.506 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.506 * [taylor]: Taking taylor expansion of x in x
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.506 * [taylor]: Taking taylor expansion of 3 in x
2.506 * [backup-simplify]: Simplify 3 into 3
2.506 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.506 * [taylor]: Taking taylor expansion of y in x
2.506 * [backup-simplify]: Simplify y into y
2.506 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.506 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
2.507 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
2.507 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* (sqrt 3) y)
2.507 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.507 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0
2.508 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y
2.508 * [taylor]: Taking taylor expansion of (sqrt 3) in y
2.508 * [taylor]: Taking taylor expansion of 3 in y
2.508 * [backup-simplify]: Simplify 3 into 3
2.508 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.508 * [taylor]: Taking taylor expansion of y in y
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* (sqrt 3) 0) into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [taylor]: Taking taylor expansion of 0 in y
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify (+ (* (sqrt 3) 1) (* 0 0)) into (sqrt 3)
2.510 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.515 * [backup-simplify]: Simplify (* 1 1) into 1
2.516 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.516 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
2.517 * [backup-simplify]: Simplify (+ 1 0) into 1
2.517 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 3) y))) into (/ 1/2 (* (sqrt 3) y))
2.518 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y
2.518 * [taylor]: Taking taylor expansion of 1/2 in y
2.518 * [backup-simplify]: Simplify 1/2 into 1/2
2.518 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y
2.518 * [taylor]: Taking taylor expansion of (sqrt 3) in y
2.518 * [taylor]: Taking taylor expansion of 3 in y
2.518 * [backup-simplify]: Simplify 3 into 3
2.518 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.518 * [taylor]: Taking taylor expansion of y in y
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (* (sqrt 3) 0) into 0
2.520 * [backup-simplify]: Simplify (+ (* (sqrt 3) 1) (* 0 0)) into (sqrt 3)
2.520 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3))
2.521 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0
2.522 * [backup-simplify]: Simplify (+ (* (sqrt 3) 0) (+ (* 0 1) (* 0 0))) into 0
2.522 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0
2.524 * [backup-simplify]: Simplify (+ (* (sqrt 3) 0) (+ (* 0 1) (* 0 0))) into 0
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.525 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.526 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 3) y)))))) (* 2 (* (sqrt 3) y))) into 0
2.526 * [taylor]: Taking taylor expansion of 0 in y
2.526 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3))) into 0
2.528 * [backup-simplify]: Simplify (+ (* (sqrt 3) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.529 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (* (sqrt 3) (* y 1)) into (* (sqrt 3) y)
2.530 * [backup-simplify]: Simplify (sqrt (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))))
2.530 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0
2.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y
2.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.530 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.530 * [taylor]: Taking taylor expansion of x in y
2.530 * [backup-simplify]: Simplify x into x
2.530 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.530 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.530 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.530 * [taylor]: Taking taylor expansion of 3 in y
2.530 * [backup-simplify]: Simplify 3 into 3
2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.530 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.530 * [taylor]: Taking taylor expansion of y in y
2.530 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 1 into 1
2.530 * [backup-simplify]: Simplify (* 1 1) into 1
2.530 * [backup-simplify]: Simplify (/ 1 1) into 1
2.531 * [backup-simplify]: Simplify (* 3 1) into 3
2.531 * [backup-simplify]: Simplify (+ 0 3) into 3
2.531 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.532 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.533 * [backup-simplify]: Simplify (+ 0 0) into 0
2.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.533 * [taylor]: Taking taylor expansion of x in x
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.533 * [backup-simplify]: Simplify (* 1 1) into 1
2.534 * [backup-simplify]: Simplify (/ 1 1) into 1
2.534 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.534 * [taylor]: Taking taylor expansion of 3 in x
2.534 * [backup-simplify]: Simplify 3 into 3
2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.534 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.534 * [taylor]: Taking taylor expansion of y in x
2.534 * [backup-simplify]: Simplify y into y
2.534 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.534 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.534 * [backup-simplify]: Simplify (+ 1 0) into 1
2.535 * [backup-simplify]: Simplify (sqrt 1) into 1
2.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (+ 0 0) into 0
2.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.536 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.536 * [taylor]: Taking taylor expansion of x in x
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
2.537 * [backup-simplify]: Simplify (/ 1 1) into 1
2.537 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.537 * [taylor]: Taking taylor expansion of 3 in x
2.537 * [backup-simplify]: Simplify 3 into 3
2.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.537 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.537 * [taylor]: Taking taylor expansion of y in x
2.537 * [backup-simplify]: Simplify y into y
2.537 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.537 * [backup-simplify]: Simplify (+ 1 0) into 1
2.537 * [backup-simplify]: Simplify (sqrt 1) into 1
2.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.539 * [backup-simplify]: Simplify (+ 0 0) into 0
2.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.539 * [taylor]: Taking taylor expansion of 1 in y
2.539 * [backup-simplify]: Simplify 1 into 1
2.539 * [taylor]: Taking taylor expansion of 0 in y
2.539 * [backup-simplify]: Simplify 0 into 0
2.539 * [backup-simplify]: Simplify 1 into 1
2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.541 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.541 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.542 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow y 2))
2.542 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y
2.542 * [taylor]: Taking taylor expansion of 3/2 in y
2.542 * [backup-simplify]: Simplify 3/2 into 3/2
2.542 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.542 * [taylor]: Taking taylor expansion of y in y
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 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2
2.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.544 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.545 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.545 * [backup-simplify]: Simplify (+ 0 0) into 0
2.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow y 2)))))) (* 2 1)) into 0
2.546 * [taylor]: Taking taylor expansion of 0 in y
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.547 * [backup-simplify]: Simplify (sqrt (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))))
2.547 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0
2.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y
2.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.548 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.548 * [taylor]: Taking taylor expansion of x in y
2.548 * [backup-simplify]: Simplify x into x
2.548 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.548 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.548 * [taylor]: Taking taylor expansion of 3 in y
2.548 * [backup-simplify]: Simplify 3 into 3
2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.548 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.548 * [taylor]: Taking taylor expansion of y in y
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [backup-simplify]: Simplify (* 1 1) into 1
2.548 * [backup-simplify]: Simplify (/ 1 1) into 1
2.549 * [backup-simplify]: Simplify (* 3 1) into 3
2.549 * [backup-simplify]: Simplify (+ 0 3) into 3
2.549 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3)
2.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.550 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.551 * [backup-simplify]: Simplify (+ 0 0) into 0
2.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0
2.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.551 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.551 * [taylor]: Taking taylor expansion of x in x
2.551 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify 1 into 1
2.552 * [backup-simplify]: Simplify (* 1 1) into 1
2.552 * [backup-simplify]: Simplify (/ 1 1) into 1
2.552 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.552 * [taylor]: Taking taylor expansion of 3 in x
2.552 * [backup-simplify]: Simplify 3 into 3
2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.552 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.552 * [taylor]: Taking taylor expansion of y in x
2.552 * [backup-simplify]: Simplify y into y
2.552 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.552 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.552 * [backup-simplify]: Simplify (+ 1 0) into 1
2.553 * [backup-simplify]: Simplify (sqrt 1) into 1
2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x
2.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.554 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.554 * [taylor]: Taking taylor expansion of x in x
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 1 into 1
2.555 * [backup-simplify]: Simplify (* 1 1) into 1
2.555 * [backup-simplify]: Simplify (/ 1 1) into 1
2.555 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.555 * [taylor]: Taking taylor expansion of 3 in x
2.555 * [backup-simplify]: Simplify 3 into 3
2.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.555 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.555 * [taylor]: Taking taylor expansion of y in x
2.555 * [backup-simplify]: Simplify y into y
2.555 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.555 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.555 * [backup-simplify]: Simplify (+ 1 0) into 1
2.556 * [backup-simplify]: Simplify (sqrt 1) into 1
2.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.557 * [backup-simplify]: Simplify (+ 0 0) into 0
2.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.557 * [taylor]: Taking taylor expansion of 1 in y
2.557 * [backup-simplify]: Simplify 1 into 1
2.557 * [taylor]: Taking taylor expansion of 0 in y
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.559 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.559 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.559 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow y 2))
2.560 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y
2.560 * [taylor]: Taking taylor expansion of 3/2 in y
2.560 * [backup-simplify]: Simplify 3/2 into 3/2
2.560 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.560 * [taylor]: Taking taylor expansion of y in y
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.560 * [backup-simplify]: Simplify (* 1 1) into 1
2.560 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2
2.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 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
2.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.562 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.563 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.563 * [backup-simplify]: Simplify (+ 0 0) into 0
2.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow y 2)))))) (* 2 1)) into 0
2.564 * [taylor]: Taking taylor expansion of 0 in y
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.565 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.566 * [backup-simplify]: Simplify (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) into (+ (pow x 2) (* 3 (pow y 2)))
2.566 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0
2.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
2.566 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.566 * [taylor]: Taking taylor expansion of x in y
2.566 * [backup-simplify]: Simplify x into x
2.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
2.566 * [taylor]: Taking taylor expansion of 3 in y
2.566 * [backup-simplify]: Simplify 3 into 3
2.566 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.566 * [taylor]: Taking taylor expansion of y in y
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.566 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.566 * [taylor]: Taking taylor expansion of x in x
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.566 * [taylor]: Taking taylor expansion of 3 in x
2.566 * [backup-simplify]: Simplify 3 into 3
2.566 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.566 * [taylor]: Taking taylor expansion of y in x
2.566 * [backup-simplify]: Simplify y into y
2.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.566 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.566 * [taylor]: Taking taylor expansion of x in x
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.566 * [taylor]: Taking taylor expansion of 3 in x
2.566 * [backup-simplify]: Simplify 3 into 3
2.566 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.566 * [taylor]: Taking taylor expansion of y in x
2.567 * [backup-simplify]: Simplify y into y
2.567 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.567 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
2.567 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
2.567 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
2.567 * [taylor]: Taking taylor expansion of 3 in y
2.567 * [backup-simplify]: Simplify 3 into 3
2.567 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.567 * [taylor]: Taking taylor expansion of y in y
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify 1 into 1
2.567 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.567 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
2.568 * [backup-simplify]: Simplify (+ 0 0) into 0
2.568 * [taylor]: Taking taylor expansion of 0 in y
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify (* 1 1) into 1
2.569 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.569 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
2.570 * [backup-simplify]: Simplify (+ 1 0) into 1
2.570 * [taylor]: Taking taylor expansion of 1 in y
2.570 * [backup-simplify]: Simplify 1 into 1
2.570 * [backup-simplify]: Simplify 1 into 1
2.570 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify (* 1 1) into 1
2.570 * [backup-simplify]: Simplify (* 3 1) into 3
2.570 * [backup-simplify]: Simplify 3 into 3
2.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.571 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.572 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
2.572 * [backup-simplify]: Simplify (+ 0 0) into 0
2.572 * [taylor]: Taking taylor expansion of 0 in y
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.573 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.573 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.574 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.575 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
2.575 * [backup-simplify]: Simplify (+ 0 0) into 0
2.575 * [taylor]: Taking taylor expansion of 0 in y
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
2.576 * [backup-simplify]: Simplify (* (sqrt (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
2.577 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.577 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.577 * [taylor]: Taking taylor expansion of x in y
2.577 * [backup-simplify]: Simplify x into x
2.577 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.577 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.577 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.577 * [taylor]: Taking taylor expansion of 3 in y
2.577 * [backup-simplify]: Simplify 3 into 3
2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.577 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.577 * [taylor]: Taking taylor expansion of y in y
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 1 into 1
2.577 * [backup-simplify]: Simplify (* 1 1) into 1
2.577 * [backup-simplify]: Simplify (/ 1 1) into 1
2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.577 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.577 * [taylor]: Taking taylor expansion of x in x
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 1 into 1
2.578 * [backup-simplify]: Simplify (* 1 1) into 1
2.578 * [backup-simplify]: Simplify (/ 1 1) into 1
2.578 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.578 * [taylor]: Taking taylor expansion of 3 in x
2.578 * [backup-simplify]: Simplify 3 into 3
2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.578 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.578 * [taylor]: Taking taylor expansion of y in x
2.578 * [backup-simplify]: Simplify y into y
2.578 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.578 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.578 * [taylor]: Taking taylor expansion of x in x
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.579 * [backup-simplify]: Simplify (* 1 1) into 1
2.579 * [backup-simplify]: Simplify (/ 1 1) into 1
2.579 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.579 * [taylor]: Taking taylor expansion of 3 in x
2.579 * [backup-simplify]: Simplify 3 into 3
2.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.579 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.579 * [taylor]: Taking taylor expansion of y in x
2.579 * [backup-simplify]: Simplify y into y
2.579 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.579 * [backup-simplify]: Simplify (+ 1 0) into 1
2.579 * [taylor]: Taking taylor expansion of 1 in y
2.579 * [backup-simplify]: Simplify 1 into 1
2.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.582 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.582 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.582 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.582 * [taylor]: Taking taylor expansion of 3 in y
2.582 * [backup-simplify]: Simplify 3 into 3
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
2.583 * [backup-simplify]: Simplify (/ 1 1) into 1
2.583 * [backup-simplify]: Simplify (* 3 1) into 3
2.583 * [backup-simplify]: Simplify 3 into 3
2.583 * [backup-simplify]: Simplify 1 into 1
2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.584 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.585 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.585 * [backup-simplify]: Simplify (+ 0 0) into 0
2.585 * [taylor]: Taking taylor expansion of 0 in y
2.585 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.586 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.588 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.589 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
2.589 * [backup-simplify]: Simplify (+ 0 0) into 0
2.589 * [taylor]: Taking taylor expansion of 0 in y
2.589 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.591 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
2.592 * [backup-simplify]: Simplify (* (sqrt (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
2.592 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
2.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.592 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.592 * [taylor]: Taking taylor expansion of x in y
2.592 * [backup-simplify]: Simplify x into x
2.592 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.592 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.592 * [taylor]: Taking taylor expansion of 3 in y
2.592 * [backup-simplify]: Simplify 3 into 3
2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.592 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.592 * [taylor]: Taking taylor expansion of y in y
2.592 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify 1 into 1
2.593 * [backup-simplify]: Simplify (* 1 1) into 1
2.593 * [backup-simplify]: Simplify (/ 1 1) into 1
2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.593 * [taylor]: Taking taylor expansion of x in x
2.593 * [backup-simplify]: Simplify 0 into 0
2.593 * [backup-simplify]: Simplify 1 into 1
2.593 * [backup-simplify]: Simplify (* 1 1) into 1
2.593 * [backup-simplify]: Simplify (/ 1 1) into 1
2.593 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.593 * [taylor]: Taking taylor expansion of 3 in x
2.593 * [backup-simplify]: Simplify 3 into 3
2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.594 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.594 * [taylor]: Taking taylor expansion of y in x
2.594 * [backup-simplify]: Simplify y into y
2.594 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.594 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.594 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.594 * [taylor]: Taking taylor expansion of x in x
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 1 into 1
2.594 * [backup-simplify]: Simplify (* 1 1) into 1
2.594 * [backup-simplify]: Simplify (/ 1 1) into 1
2.594 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.594 * [taylor]: Taking taylor expansion of 3 in x
2.594 * [backup-simplify]: Simplify 3 into 3
2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.594 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.594 * [taylor]: Taking taylor expansion of y in x
2.594 * [backup-simplify]: Simplify y into y
2.594 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.595 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.595 * [backup-simplify]: Simplify (+ 1 0) into 1
2.595 * [taylor]: Taking taylor expansion of 1 in y
2.595 * [backup-simplify]: Simplify 1 into 1
2.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.596 * [backup-simplify]: Simplify (+ 0 0) into 0
2.596 * [taylor]: Taking taylor expansion of 0 in y
2.596 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.597 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.598 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.598 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.598 * [taylor]: Taking taylor expansion of 3 in y
2.598 * [backup-simplify]: Simplify 3 into 3
2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.598 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.598 * [taylor]: Taking taylor expansion of y in y
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.598 * [backup-simplify]: Simplify (* 1 1) into 1
2.598 * [backup-simplify]: Simplify (/ 1 1) into 1
2.598 * [backup-simplify]: Simplify (* 3 1) into 3
2.598 * [backup-simplify]: Simplify 3 into 3
2.599 * [backup-simplify]: Simplify 1 into 1
2.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.600 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.600 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.601 * [backup-simplify]: Simplify (+ 0 0) into 0
2.601 * [taylor]: Taking taylor expansion of 0 in y
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.602 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.602 * [backup-simplify]: Simplify 0 into 0
2.602 * [backup-simplify]: Simplify 0 into 0
2.602 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.603 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.604 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
2.605 * [backup-simplify]: Simplify (+ 0 0) into 0
2.605 * [taylor]: Taking taylor expansion of 0 in y
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.606 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
2.607 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
2.607 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2)))
2.607 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0
2.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
2.607 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.607 * [taylor]: Taking taylor expansion of x in y
2.607 * [backup-simplify]: Simplify x into x
2.607 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
2.607 * [taylor]: Taking taylor expansion of 3 in y
2.607 * [backup-simplify]: Simplify 3 into 3
2.607 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.607 * [taylor]: Taking taylor expansion of y in y
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.607 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.607 * [taylor]: Taking taylor expansion of x in x
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.607 * [taylor]: Taking taylor expansion of 3 in x
2.607 * [backup-simplify]: Simplify 3 into 3
2.607 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.607 * [taylor]: Taking taylor expansion of y in x
2.607 * [backup-simplify]: Simplify y into y
2.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
2.607 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.607 * [taylor]: Taking taylor expansion of x in x
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
2.607 * [taylor]: Taking taylor expansion of 3 in x
2.607 * [backup-simplify]: Simplify 3 into 3
2.607 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.607 * [taylor]: Taking taylor expansion of y in x
2.607 * [backup-simplify]: Simplify y into y
2.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.608 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2))
2.608 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2))
2.608 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
2.608 * [taylor]: Taking taylor expansion of 3 in y
2.608 * [backup-simplify]: Simplify 3 into 3
2.608 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.608 * [taylor]: Taking taylor expansion of y in y
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify 1 into 1
2.608 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.613 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0
2.614 * [backup-simplify]: Simplify (+ 0 0) into 0
2.614 * [taylor]: Taking taylor expansion of 0 in y
2.614 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify (* 1 1) into 1
2.615 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.615 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
2.615 * [backup-simplify]: Simplify (+ 1 0) into 1
2.615 * [taylor]: Taking taylor expansion of 1 in y
2.616 * [backup-simplify]: Simplify 1 into 1
2.616 * [backup-simplify]: Simplify 1 into 1
2.616 * [backup-simplify]: Simplify 0 into 0
2.616 * [backup-simplify]: Simplify (* 1 1) into 1
2.616 * [backup-simplify]: Simplify (* 3 1) into 3
2.616 * [backup-simplify]: Simplify 3 into 3
2.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.617 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.618 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) 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
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.619 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.619 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.621 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
2.622 * [backup-simplify]: Simplify (+ 0 0) into 0
2.622 * [taylor]: Taking taylor expansion of 0 in y
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
2.622 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
2.622 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
2.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.622 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.622 * [taylor]: Taking taylor expansion of x in y
2.622 * [backup-simplify]: Simplify x into x
2.622 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.622 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.623 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.623 * [taylor]: Taking taylor expansion of 3 in y
2.623 * [backup-simplify]: Simplify 3 into 3
2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.623 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.623 * [taylor]: Taking taylor expansion of y in y
2.623 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify 1 into 1
2.623 * [backup-simplify]: Simplify (* 1 1) into 1
2.623 * [backup-simplify]: Simplify (/ 1 1) into 1
2.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.623 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.623 * [taylor]: Taking taylor expansion of x in x
2.623 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify 1 into 1
2.623 * [backup-simplify]: Simplify (* 1 1) into 1
2.624 * [backup-simplify]: Simplify (/ 1 1) into 1
2.624 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.624 * [taylor]: Taking taylor expansion of 3 in x
2.624 * [backup-simplify]: Simplify 3 into 3
2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.624 * [taylor]: Taking taylor expansion of y in x
2.624 * [backup-simplify]: Simplify y into y
2.624 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.624 * [taylor]: Taking taylor expansion of x in x
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify 1 into 1
2.624 * [backup-simplify]: Simplify (* 1 1) into 1
2.625 * [backup-simplify]: Simplify (/ 1 1) into 1
2.625 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.625 * [taylor]: Taking taylor expansion of 3 in x
2.625 * [backup-simplify]: Simplify 3 into 3
2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.625 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.625 * [taylor]: Taking taylor expansion of y in x
2.625 * [backup-simplify]: Simplify y into y
2.625 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.625 * [backup-simplify]: Simplify (+ 1 0) into 1
2.625 * [taylor]: Taking taylor expansion of 1 in y
2.625 * [backup-simplify]: Simplify 1 into 1
2.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.626 * [backup-simplify]: Simplify (+ 0 0) into 0
2.626 * [taylor]: Taking taylor expansion of 0 in y
2.626 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.627 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.628 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.628 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.628 * [taylor]: Taking taylor expansion of 3 in y
2.628 * [backup-simplify]: Simplify 3 into 3
2.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.628 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.628 * [taylor]: Taking taylor expansion of y in y
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 1 into 1
2.628 * [backup-simplify]: Simplify (* 1 1) into 1
2.628 * [backup-simplify]: Simplify (/ 1 1) into 1
2.628 * [backup-simplify]: Simplify (* 3 1) into 3
2.628 * [backup-simplify]: Simplify 3 into 3
2.629 * [backup-simplify]: Simplify 1 into 1
2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.630 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.630 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.631 * [backup-simplify]: Simplify (+ 0 0) into 0
2.631 * [taylor]: Taking taylor expansion of 0 in y
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.632 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.633 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.634 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
2.635 * [backup-simplify]: Simplify (+ 0 0) into 0
2.635 * [taylor]: Taking taylor expansion of 0 in y
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.636 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
2.637 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))
2.637 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
2.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.637 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.637 * [taylor]: Taking taylor expansion of x in y
2.637 * [backup-simplify]: Simplify x into x
2.637 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.637 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.637 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.637 * [taylor]: Taking taylor expansion of 3 in y
2.637 * [backup-simplify]: Simplify 3 into 3
2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.637 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.637 * [taylor]: Taking taylor expansion of y in y
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (* 1 1) into 1
2.638 * [backup-simplify]: Simplify (/ 1 1) into 1
2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.638 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.638 * [taylor]: Taking taylor expansion of x in x
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (* 1 1) into 1
2.639 * [backup-simplify]: Simplify (/ 1 1) into 1
2.639 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.639 * [taylor]: Taking taylor expansion of 3 in x
2.639 * [backup-simplify]: Simplify 3 into 3
2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.639 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.639 * [taylor]: Taking taylor expansion of y in x
2.639 * [backup-simplify]: Simplify y into y
2.639 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.639 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.639 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.639 * [taylor]: Taking taylor expansion of x in x
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 1 into 1
2.639 * [backup-simplify]: Simplify (* 1 1) into 1
2.639 * [backup-simplify]: Simplify (/ 1 1) into 1
2.639 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
2.640 * [taylor]: Taking taylor expansion of 3 in x
2.640 * [backup-simplify]: Simplify 3 into 3
2.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.640 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.640 * [taylor]: Taking taylor expansion of y in x
2.640 * [backup-simplify]: Simplify y into y
2.640 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.640 * [backup-simplify]: Simplify (+ 1 0) into 1
2.640 * [taylor]: Taking taylor expansion of 1 in y
2.640 * [backup-simplify]: Simplify 1 into 1
2.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.641 * [backup-simplify]: Simplify (+ 0 0) into 0
2.641 * [taylor]: Taking taylor expansion of 0 in y
2.641 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.642 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2))
2.642 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2)))
2.642 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
2.643 * [taylor]: Taking taylor expansion of 3 in y
2.643 * [backup-simplify]: Simplify 3 into 3
2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.643 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.643 * [taylor]: Taking taylor expansion of y in y
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 1 into 1
2.643 * [backup-simplify]: Simplify (* 1 1) into 1
2.643 * [backup-simplify]: Simplify (/ 1 1) into 1
2.643 * [backup-simplify]: Simplify (* 3 1) into 3
2.643 * [backup-simplify]: Simplify 3 into 3
2.643 * [backup-simplify]: Simplify 1 into 1
2.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.645 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.645 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0
2.646 * [backup-simplify]: Simplify (+ 0 0) into 0
2.646 * [taylor]: Taking taylor expansion of 0 in y
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.647 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.650 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
2.650 * [backup-simplify]: Simplify (+ 0 0) into 0
2.650 * [taylor]: Taking taylor expansion of 0 in y
2.650 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.652 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2)))
2.652 * * * [progress]: simplifying candidates
2.654 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (exp (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (* (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt 1)
  (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (sqrt (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)))
  (sqrt (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))))
  (sqrt (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (log (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (exp (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (* (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt 1)
  (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (sqrt (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)))
  (sqrt (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))))
  (sqrt (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
  (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (log (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (log (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (exp (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (* (* (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (* (cbrt (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (cbrt (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))
  (cbrt (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (* (* (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (sqrt (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (sqrt (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))
  (* (sqrt (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))
  (* (sqrt (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (- (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
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  x
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2.655 * [simplify]: Sending expressions to egg_math:
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 (/ 1 2)
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 (exp (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
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 (* (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (* (cbrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (* (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt 1))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) 1)
 (* (cbrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (sqrt (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (sqrt (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (+ (pow (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) 3) (pow (* h0 h0) 3))))
 (* (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (- (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (* h0 h0) (* h0 h0)))))
 (* (sqrt (+ (pow (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) 3) (pow (* h0 h0) 3))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (sqrt (- (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (* h0 h0) (* h0 h0)))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (* (* (* (exp (* h1 h1)) (exp (* h0 h0))) (exp (* h0 h0))) (exp (* h0 h0)))
 (* (* (exp (+ (* h1 h1) (* h0 h0))) (exp (* h0 h0))) (exp (* h0 h0)))
 (* (exp (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (exp (* h0 h0)))
 (log (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (exp (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (* (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (* (* (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)) (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))
 (+ (pow (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) 3) (pow (* h0 h0) 3))
 (+ (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))))
 (- (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (* h0 h0) (* h0 h0)))
 (- (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))
 (+ (* h0 h0) (* h0 h0))
 (* (sqrt 3) h0)
 h1
 (* -1 h1)
 (* (sqrt 3) h0)
 h1
 (* -1 h1)
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
2.696 * * * [progress]: adding candidates to table
2.942 * * [progress]: iteration 4 / 4
2.942 * * * [progress]: picking best candidate
2.962 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))>
2.962 * * * [progress]: localizing error
2.980 * * * [progress]: generating rewritten candidates
2.980 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1)
3.018 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
3.048 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
3.080 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2)
3.238 * * * [progress]: generating series expansions
3.238 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1)
3.239 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2))))
3.239 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
3.239 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
3.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
3.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.239 * [taylor]: Taking taylor expansion of x in y
3.239 * [backup-simplify]: Simplify x into x
3.239 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
3.239 * [taylor]: Taking taylor expansion of 2 in y
3.239 * [backup-simplify]: Simplify 2 into 2
3.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.239 * [taylor]: Taking taylor expansion of y in y
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 1 into 1
3.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.239 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.239 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.239 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.240 * [backup-simplify]: Simplify (+ 0 0) into 0
3.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.240 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.240 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.240 * [taylor]: Taking taylor expansion of x in x
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 1 into 1
3.240 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.240 * [taylor]: Taking taylor expansion of 2 in x
3.240 * [backup-simplify]: Simplify 2 into 2
3.240 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.240 * [taylor]: Taking taylor expansion of y in x
3.240 * [backup-simplify]: Simplify y into y
3.240 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.240 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.240 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.240 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.240 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.241 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.241 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.241 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.241 * [taylor]: Taking taylor expansion of x in x
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 1 into 1
3.241 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.241 * [taylor]: Taking taylor expansion of 2 in x
3.241 * [backup-simplify]: Simplify 2 into 2
3.242 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.242 * [taylor]: Taking taylor expansion of y in x
3.242 * [backup-simplify]: Simplify y into y
3.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.242 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.242 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.242 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.243 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.243 * [backup-simplify]: Simplify (+ 0 0) into 0
3.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.243 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.243 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.243 * [taylor]: Taking taylor expansion of 2 in y
3.243 * [backup-simplify]: Simplify 2 into 2
3.243 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.244 * [taylor]: Taking taylor expansion of y in y
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 1 into 1
3.244 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [taylor]: Taking taylor expansion of 0 in y
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.246 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.246 * [backup-simplify]: Simplify (* 1 1) into 1
3.247 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.248 * [backup-simplify]: Simplify (+ 1 0) into 1
3.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y))
3.248 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
3.248 * [taylor]: Taking taylor expansion of 1/2 in y
3.248 * [backup-simplify]: Simplify 1/2 into 1/2
3.248 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.248 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.248 * [taylor]: Taking taylor expansion of 2 in y
3.248 * [backup-simplify]: Simplify 2 into 2
3.249 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.249 * [taylor]: Taking taylor expansion of y in y
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.251 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.251 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
3.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.253 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.257 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.259 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.260 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.261 * [backup-simplify]: Simplify (+ 0 0) into 0
3.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0
3.262 * [taylor]: Taking taylor expansion of 0 in y
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
3.263 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.265 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y)
3.265 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.265 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.265 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.265 * [taylor]: Taking taylor expansion of x in y
3.266 * [backup-simplify]: Simplify x into x
3.266 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.266 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.266 * [taylor]: Taking taylor expansion of 2 in y
3.266 * [backup-simplify]: Simplify 2 into 2
3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.266 * [taylor]: Taking taylor expansion of y in y
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (* 1 1) into 1
3.266 * [backup-simplify]: Simplify (/ 1 1) into 1
3.267 * [backup-simplify]: Simplify (* 2 1) into 2
3.267 * [backup-simplify]: Simplify (+ 0 2) into 2
3.267 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.269 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.269 * [backup-simplify]: Simplify (+ 0 0) into 0
3.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.269 * [taylor]: Taking taylor expansion of x in x
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 1 into 1
3.270 * [backup-simplify]: Simplify (* 1 1) into 1
3.270 * [backup-simplify]: Simplify (/ 1 1) into 1
3.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.270 * [taylor]: Taking taylor expansion of 2 in x
3.270 * [backup-simplify]: Simplify 2 into 2
3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.270 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.270 * [taylor]: Taking taylor expansion of y in x
3.270 * [backup-simplify]: Simplify y into y
3.270 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.270 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.270 * [backup-simplify]: Simplify (+ 1 0) into 1
3.271 * [backup-simplify]: Simplify (sqrt 1) into 1
3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.272 * [backup-simplify]: Simplify (+ 0 0) into 0
3.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.272 * [taylor]: Taking taylor expansion of x in x
3.272 * [backup-simplify]: Simplify 0 into 0
3.272 * [backup-simplify]: Simplify 1 into 1
3.273 * [backup-simplify]: Simplify (* 1 1) into 1
3.273 * [backup-simplify]: Simplify (/ 1 1) into 1
3.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.273 * [taylor]: Taking taylor expansion of 2 in x
3.273 * [backup-simplify]: Simplify 2 into 2
3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.273 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.273 * [taylor]: Taking taylor expansion of y in x
3.273 * [backup-simplify]: Simplify y into y
3.273 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.273 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.274 * [backup-simplify]: Simplify (+ 1 0) into 1
3.274 * [backup-simplify]: Simplify (sqrt 1) into 1
3.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.276 * [taylor]: Taking taylor expansion of 1 in y
3.276 * [backup-simplify]: Simplify 1 into 1
3.276 * [taylor]: Taking taylor expansion of 0 in y
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 1 into 1
3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.277 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.277 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.278 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.278 * [taylor]: Taking taylor expansion of y in y
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 1 into 1
3.278 * [backup-simplify]: Simplify (* 1 1) into 1
3.279 * [backup-simplify]: Simplify (/ 1 1) into 1
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.282 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.282 * [backup-simplify]: Simplify (+ 0 0) into 0
3.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.282 * [taylor]: Taking taylor expansion of 0 in y
3.282 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.284 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.284 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.284 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.284 * [taylor]: Taking taylor expansion of x in y
3.284 * [backup-simplify]: Simplify x into x
3.284 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.284 * [taylor]: Taking taylor expansion of 2 in y
3.284 * [backup-simplify]: Simplify 2 into 2
3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.284 * [taylor]: Taking taylor expansion of y in y
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify 1 into 1
3.284 * [backup-simplify]: Simplify (* 1 1) into 1
3.285 * [backup-simplify]: Simplify (/ 1 1) into 1
3.285 * [backup-simplify]: Simplify (* 2 1) into 2
3.285 * [backup-simplify]: Simplify (+ 0 2) into 2
3.285 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.287 * [backup-simplify]: Simplify (+ 0 0) into 0
3.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.287 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.288 * [taylor]: Taking taylor expansion of x in x
3.288 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify 1 into 1
3.288 * [backup-simplify]: Simplify (* 1 1) into 1
3.288 * [backup-simplify]: Simplify (/ 1 1) into 1
3.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.288 * [taylor]: Taking taylor expansion of 2 in x
3.288 * [backup-simplify]: Simplify 2 into 2
3.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.288 * [taylor]: Taking taylor expansion of y in x
3.288 * [backup-simplify]: Simplify y into y
3.288 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.288 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.289 * [backup-simplify]: Simplify (+ 1 0) into 1
3.289 * [backup-simplify]: Simplify (sqrt 1) into 1
3.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (+ 0 0) into 0
3.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.290 * [taylor]: Taking taylor expansion of x in x
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 1 into 1
3.291 * [backup-simplify]: Simplify (* 1 1) into 1
3.291 * [backup-simplify]: Simplify (/ 1 1) into 1
3.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.291 * [taylor]: Taking taylor expansion of 2 in x
3.291 * [backup-simplify]: Simplify 2 into 2
3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.291 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.291 * [taylor]: Taking taylor expansion of y in x
3.291 * [backup-simplify]: Simplify y into y
3.291 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.291 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.292 * [backup-simplify]: Simplify (+ 1 0) into 1
3.292 * [backup-simplify]: Simplify (sqrt 1) into 1
3.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.293 * [backup-simplify]: Simplify (+ 0 0) into 0
3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.294 * [taylor]: Taking taylor expansion of 1 in y
3.294 * [backup-simplify]: Simplify 1 into 1
3.294 * [taylor]: Taking taylor expansion of 0 in y
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 1 into 1
3.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.295 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.296 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.296 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.296 * [taylor]: Taking taylor expansion of y in y
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 1 into 1
3.296 * [backup-simplify]: Simplify (* 1 1) into 1
3.296 * [backup-simplify]: Simplify (/ 1 1) into 1
3.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.299 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.299 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.300 * [taylor]: Taking taylor expansion of 0 in y
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
3.301 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2))))
3.301 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
3.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
3.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
3.301 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.301 * [taylor]: Taking taylor expansion of x in y
3.302 * [backup-simplify]: Simplify x into x
3.302 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
3.302 * [taylor]: Taking taylor expansion of 2 in y
3.302 * [backup-simplify]: Simplify 2 into 2
3.302 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.302 * [taylor]: Taking taylor expansion of y in y
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 1 into 1
3.302 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.302 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.302 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.302 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.302 * [backup-simplify]: Simplify (+ 0 0) into 0
3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.302 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.302 * [taylor]: Taking taylor expansion of x in x
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 1 into 1
3.302 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.302 * [taylor]: Taking taylor expansion of 2 in x
3.302 * [backup-simplify]: Simplify 2 into 2
3.302 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.302 * [taylor]: Taking taylor expansion of y in x
3.302 * [backup-simplify]: Simplify y into y
3.303 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.303 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.303 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.303 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.303 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.303 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.303 * [backup-simplify]: Simplify (+ 0 0) into 0
3.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.304 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.304 * [taylor]: Taking taylor expansion of x in x
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 1 into 1
3.304 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.304 * [taylor]: Taking taylor expansion of 2 in x
3.304 * [backup-simplify]: Simplify 2 into 2
3.304 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.304 * [taylor]: Taking taylor expansion of y in x
3.304 * [backup-simplify]: Simplify y into y
3.304 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.304 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.304 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.304 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.304 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.305 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.305 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.305 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.305 * [taylor]: Taking taylor expansion of 2 in y
3.305 * [backup-simplify]: Simplify 2 into 2
3.305 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.306 * [taylor]: Taking taylor expansion of y in y
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 1 into 1
3.306 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [taylor]: Taking taylor expansion of 0 in y
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.308 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.308 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.309 * [backup-simplify]: Simplify (+ 1 0) into 1
3.310 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y))
3.310 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
3.310 * [taylor]: Taking taylor expansion of 1/2 in y
3.310 * [backup-simplify]: Simplify 1/2 into 1/2
3.310 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.310 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.310 * [taylor]: Taking taylor expansion of 2 in y
3.310 * [backup-simplify]: Simplify 2 into 2
3.311 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.311 * [taylor]: Taking taylor expansion of y in y
3.311 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify 1 into 1
3.311 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.313 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.313 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
3.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.315 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.316 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.317 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.317 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.318 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.319 * [backup-simplify]: Simplify (+ 0 0) into 0
3.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0
3.320 * [taylor]: Taking taylor expansion of 0 in y
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
3.322 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.322 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y)
3.323 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.323 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.323 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.323 * [taylor]: Taking taylor expansion of x in y
3.323 * [backup-simplify]: Simplify x into x
3.323 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.323 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.323 * [taylor]: Taking taylor expansion of 2 in y
3.323 * [backup-simplify]: Simplify 2 into 2
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.323 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.323 * [taylor]: Taking taylor expansion of y in y
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (* 1 1) into 1
3.324 * [backup-simplify]: Simplify (/ 1 1) into 1
3.324 * [backup-simplify]: Simplify (* 2 1) into 2
3.324 * [backup-simplify]: Simplify (+ 0 2) into 2
3.325 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.326 * [backup-simplify]: Simplify (+ 0 0) into 0
3.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.327 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.327 * [taylor]: Taking taylor expansion of x in x
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 1 into 1
3.327 * [backup-simplify]: Simplify (* 1 1) into 1
3.327 * [backup-simplify]: Simplify (/ 1 1) into 1
3.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.327 * [taylor]: Taking taylor expansion of 2 in x
3.327 * [backup-simplify]: Simplify 2 into 2
3.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.327 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.327 * [taylor]: Taking taylor expansion of y in x
3.327 * [backup-simplify]: Simplify y into y
3.328 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.328 * [backup-simplify]: Simplify (+ 1 0) into 1
3.328 * [backup-simplify]: Simplify (sqrt 1) into 1
3.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.331 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.331 * [taylor]: Taking taylor expansion of x in x
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 1 into 1
3.331 * [backup-simplify]: Simplify (* 1 1) into 1
3.331 * [backup-simplify]: Simplify (/ 1 1) into 1
3.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.331 * [taylor]: Taking taylor expansion of 2 in x
3.331 * [backup-simplify]: Simplify 2 into 2
3.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.331 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.331 * [taylor]: Taking taylor expansion of y in x
3.331 * [backup-simplify]: Simplify y into y
3.332 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.332 * [backup-simplify]: Simplify (+ 1 0) into 1
3.332 * [backup-simplify]: Simplify (sqrt 1) into 1
3.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.333 * [backup-simplify]: Simplify (+ 0 0) into 0
3.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.334 * [taylor]: Taking taylor expansion of 1 in y
3.334 * [backup-simplify]: Simplify 1 into 1
3.334 * [taylor]: Taking taylor expansion of 0 in y
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.335 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.336 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.336 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.336 * [taylor]: Taking taylor expansion of y in y
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.337 * [backup-simplify]: Simplify (* 1 1) into 1
3.337 * [backup-simplify]: Simplify (/ 1 1) into 1
3.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.340 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.340 * [backup-simplify]: Simplify (+ 0 0) into 0
3.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.340 * [taylor]: Taking taylor expansion of 0 in y
3.340 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.342 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.342 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.342 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.342 * [taylor]: Taking taylor expansion of x in y
3.342 * [backup-simplify]: Simplify x into x
3.342 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.342 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.342 * [taylor]: Taking taylor expansion of 2 in y
3.342 * [backup-simplify]: Simplify 2 into 2
3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.342 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.342 * [taylor]: Taking taylor expansion of y in y
3.342 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 1 into 1
3.343 * [backup-simplify]: Simplify (* 1 1) into 1
3.343 * [backup-simplify]: Simplify (/ 1 1) into 1
3.343 * [backup-simplify]: Simplify (* 2 1) into 2
3.343 * [backup-simplify]: Simplify (+ 0 2) into 2
3.344 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.346 * [taylor]: Taking taylor expansion of x in x
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 1 into 1
3.346 * [backup-simplify]: Simplify (* 1 1) into 1
3.346 * [backup-simplify]: Simplify (/ 1 1) into 1
3.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.346 * [taylor]: Taking taylor expansion of 2 in x
3.346 * [backup-simplify]: Simplify 2 into 2
3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.346 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.346 * [taylor]: Taking taylor expansion of y in x
3.346 * [backup-simplify]: Simplify y into y
3.346 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.347 * [backup-simplify]: Simplify (+ 1 0) into 1
3.347 * [backup-simplify]: Simplify (sqrt 1) into 1
3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.348 * [backup-simplify]: Simplify (+ 0 0) into 0
3.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.348 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.348 * [taylor]: Taking taylor expansion of x in x
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify 1 into 1
3.349 * [backup-simplify]: Simplify (* 1 1) into 1
3.349 * [backup-simplify]: Simplify (/ 1 1) into 1
3.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.349 * [taylor]: Taking taylor expansion of 2 in x
3.349 * [backup-simplify]: Simplify 2 into 2
3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.349 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.349 * [taylor]: Taking taylor expansion of y in x
3.349 * [backup-simplify]: Simplify y into y
3.349 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.350 * [backup-simplify]: Simplify (+ 1 0) into 1
3.350 * [backup-simplify]: Simplify (sqrt 1) into 1
3.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.351 * [backup-simplify]: Simplify (+ 0 0) into 0
3.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.351 * [taylor]: Taking taylor expansion of 1 in y
3.351 * [backup-simplify]: Simplify 1 into 1
3.351 * [taylor]: Taking taylor expansion of 0 in y
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 1 into 1
3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.353 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.359 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.359 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.359 * [taylor]: Taking taylor expansion of y in y
3.359 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify 1 into 1
3.360 * [backup-simplify]: Simplify (* 1 1) into 1
3.360 * [backup-simplify]: Simplify (/ 1 1) into 1
3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.363 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.364 * [taylor]: Taking taylor expansion of 0 in y
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.365 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
3.365 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2))))
3.365 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
3.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
3.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
3.365 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.365 * [taylor]: Taking taylor expansion of x in y
3.365 * [backup-simplify]: Simplify x into x
3.365 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
3.365 * [taylor]: Taking taylor expansion of 2 in y
3.365 * [backup-simplify]: Simplify 2 into 2
3.366 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.366 * [taylor]: Taking taylor expansion of y in y
3.366 * [backup-simplify]: Simplify 0 into 0
3.366 * [backup-simplify]: Simplify 1 into 1
3.366 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.366 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.366 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.366 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.366 * [backup-simplify]: Simplify (+ 0 0) into 0
3.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.366 * [taylor]: Taking taylor expansion of x in x
3.366 * [backup-simplify]: Simplify 0 into 0
3.366 * [backup-simplify]: Simplify 1 into 1
3.366 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.366 * [taylor]: Taking taylor expansion of 2 in x
3.366 * [backup-simplify]: Simplify 2 into 2
3.366 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.366 * [taylor]: Taking taylor expansion of y in x
3.366 * [backup-simplify]: Simplify y into y
3.366 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.367 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.367 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.367 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.367 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.367 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.367 * [backup-simplify]: Simplify (+ 0 0) into 0
3.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.368 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.368 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.368 * [taylor]: Taking taylor expansion of x in x
3.368 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify 1 into 1
3.368 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.368 * [taylor]: Taking taylor expansion of 2 in x
3.368 * [backup-simplify]: Simplify 2 into 2
3.368 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.368 * [taylor]: Taking taylor expansion of y in x
3.368 * [backup-simplify]: Simplify y into y
3.368 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.368 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.368 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.368 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.368 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.368 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.369 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.369 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.369 * [taylor]: Taking taylor expansion of 2 in y
3.369 * [backup-simplify]: Simplify 2 into 2
3.369 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.370 * [taylor]: Taking taylor expansion of y in y
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [taylor]: Taking taylor expansion of 0 in y
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.372 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.372 * [backup-simplify]: Simplify (* 1 1) into 1
3.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.373 * [backup-simplify]: Simplify (+ 1 0) into 1
3.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y))
3.374 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
3.374 * [taylor]: Taking taylor expansion of 1/2 in y
3.374 * [backup-simplify]: Simplify 1/2 into 1/2
3.374 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.374 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.374 * [taylor]: Taking taylor expansion of 2 in y
3.374 * [backup-simplify]: Simplify 2 into 2
3.374 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.374 * [taylor]: Taking taylor expansion of y in y
3.374 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.376 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.377 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
3.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.378 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.379 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.380 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.380 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.381 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.382 * [backup-simplify]: Simplify (+ 0 0) into 0
3.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0
3.382 * [taylor]: Taking taylor expansion of 0 in y
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
3.384 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.385 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y)
3.385 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.385 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.386 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.386 * [taylor]: Taking taylor expansion of x in y
3.386 * [backup-simplify]: Simplify x into x
3.386 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.386 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.386 * [taylor]: Taking taylor expansion of 2 in y
3.386 * [backup-simplify]: Simplify 2 into 2
3.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.386 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.386 * [taylor]: Taking taylor expansion of y in y
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 1 into 1
3.386 * [backup-simplify]: Simplify (* 1 1) into 1
3.386 * [backup-simplify]: Simplify (/ 1 1) into 1
3.387 * [backup-simplify]: Simplify (* 2 1) into 2
3.387 * [backup-simplify]: Simplify (+ 0 2) into 2
3.387 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.388 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.389 * [backup-simplify]: Simplify (+ 0 0) into 0
3.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.389 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.389 * [taylor]: Taking taylor expansion of x in x
3.389 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify 1 into 1
3.389 * [backup-simplify]: Simplify (* 1 1) into 1
3.390 * [backup-simplify]: Simplify (/ 1 1) into 1
3.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.390 * [taylor]: Taking taylor expansion of 2 in x
3.390 * [backup-simplify]: Simplify 2 into 2
3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.390 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.390 * [taylor]: Taking taylor expansion of y in x
3.390 * [backup-simplify]: Simplify y into y
3.390 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.390 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.390 * [backup-simplify]: Simplify (+ 1 0) into 1
3.390 * [backup-simplify]: Simplify (sqrt 1) into 1
3.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify (+ 0 0) into 0
3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.392 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.392 * [taylor]: Taking taylor expansion of x in x
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify 1 into 1
3.392 * [backup-simplify]: Simplify (* 1 1) into 1
3.392 * [backup-simplify]: Simplify (/ 1 1) into 1
3.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.393 * [taylor]: Taking taylor expansion of 2 in x
3.393 * [backup-simplify]: Simplify 2 into 2
3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.393 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.393 * [taylor]: Taking taylor expansion of y in x
3.393 * [backup-simplify]: Simplify y into y
3.393 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.393 * [backup-simplify]: Simplify (+ 1 0) into 1
3.393 * [backup-simplify]: Simplify (sqrt 1) into 1
3.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.394 * [backup-simplify]: Simplify (+ 0 0) into 0
3.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.395 * [taylor]: Taking taylor expansion of 1 in y
3.395 * [backup-simplify]: Simplify 1 into 1
3.395 * [taylor]: Taking taylor expansion of 0 in y
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 1 into 1
3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.396 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.396 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.397 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.397 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.397 * [taylor]: Taking taylor expansion of y in y
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 1 into 1
3.397 * [backup-simplify]: Simplify (* 1 1) into 1
3.398 * [backup-simplify]: Simplify (/ 1 1) into 1
3.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.398 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.400 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.400 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.401 * [backup-simplify]: Simplify (+ 0 0) into 0
3.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.401 * [taylor]: Taking taylor expansion of 0 in y
3.401 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.403 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.403 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.403 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.403 * [taylor]: Taking taylor expansion of x in y
3.403 * [backup-simplify]: Simplify x into x
3.403 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.403 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.403 * [taylor]: Taking taylor expansion of 2 in y
3.403 * [backup-simplify]: Simplify 2 into 2
3.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.403 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.403 * [taylor]: Taking taylor expansion of y in y
3.403 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify 1 into 1
3.403 * [backup-simplify]: Simplify (* 1 1) into 1
3.403 * [backup-simplify]: Simplify (/ 1 1) into 1
3.404 * [backup-simplify]: Simplify (* 2 1) into 2
3.404 * [backup-simplify]: Simplify (+ 0 2) into 2
3.404 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.406 * [backup-simplify]: Simplify (+ 0 0) into 0
3.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.406 * [taylor]: Taking taylor expansion of x in x
3.406 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify 1 into 1
3.406 * [backup-simplify]: Simplify (* 1 1) into 1
3.407 * [backup-simplify]: Simplify (/ 1 1) into 1
3.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.407 * [taylor]: Taking taylor expansion of 2 in x
3.407 * [backup-simplify]: Simplify 2 into 2
3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.407 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.407 * [taylor]: Taking taylor expansion of y in x
3.407 * [backup-simplify]: Simplify y into y
3.407 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.407 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.407 * [backup-simplify]: Simplify (+ 1 0) into 1
3.407 * [backup-simplify]: Simplify (sqrt 1) into 1
3.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (+ 0 0) into 0
3.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.409 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.409 * [taylor]: Taking taylor expansion of x in x
3.409 * [backup-simplify]: Simplify 0 into 0
3.409 * [backup-simplify]: Simplify 1 into 1
3.410 * [backup-simplify]: Simplify (* 1 1) into 1
3.410 * [backup-simplify]: Simplify (/ 1 1) into 1
3.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.410 * [taylor]: Taking taylor expansion of 2 in x
3.410 * [backup-simplify]: Simplify 2 into 2
3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.410 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.410 * [taylor]: Taking taylor expansion of y in x
3.410 * [backup-simplify]: Simplify y into y
3.410 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.411 * [backup-simplify]: Simplify (+ 1 0) into 1
3.411 * [backup-simplify]: Simplify (sqrt 1) into 1
3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.413 * [backup-simplify]: Simplify (+ 0 0) into 0
3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.413 * [taylor]: Taking taylor expansion of 1 in y
3.413 * [backup-simplify]: Simplify 1 into 1
3.413 * [taylor]: Taking taylor expansion of 0 in y
3.413 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 1 into 1
3.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.415 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.415 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.416 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.416 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.416 * [taylor]: Taking taylor expansion of y in y
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 1 into 1
3.416 * [backup-simplify]: Simplify (* 1 1) into 1
3.417 * [backup-simplify]: Simplify (/ 1 1) into 1
3.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.419 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.420 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.420 * [backup-simplify]: Simplify (+ 0 0) into 0
3.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.420 * [taylor]: Taking taylor expansion of 0 in y
3.420 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.422 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2)
3.422 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) into (sqrt (+ (pow x 2) (* 2 (pow y 2))))
3.422 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
3.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
3.422 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
3.422 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.422 * [taylor]: Taking taylor expansion of x in y
3.422 * [backup-simplify]: Simplify x into x
3.422 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
3.422 * [taylor]: Taking taylor expansion of 2 in y
3.422 * [backup-simplify]: Simplify 2 into 2
3.422 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.422 * [taylor]: Taking taylor expansion of y in y
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 1 into 1
3.422 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.423 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.423 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.423 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.423 * [backup-simplify]: Simplify (+ 0 0) into 0
3.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.423 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.423 * [taylor]: Taking taylor expansion of x in x
3.423 * [backup-simplify]: Simplify 0 into 0
3.423 * [backup-simplify]: Simplify 1 into 1
3.423 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.423 * [taylor]: Taking taylor expansion of 2 in x
3.423 * [backup-simplify]: Simplify 2 into 2
3.423 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.423 * [taylor]: Taking taylor expansion of y in x
3.423 * [backup-simplify]: Simplify y into y
3.423 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.423 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.423 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.424 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.424 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.424 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.424 * [backup-simplify]: Simplify (+ 0 0) into 0
3.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
3.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
3.424 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.424 * [taylor]: Taking taylor expansion of x in x
3.424 * [backup-simplify]: Simplify 0 into 0
3.424 * [backup-simplify]: Simplify 1 into 1
3.424 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
3.424 * [taylor]: Taking taylor expansion of 2 in x
3.425 * [backup-simplify]: Simplify 2 into 2
3.425 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.425 * [taylor]: Taking taylor expansion of y in x
3.425 * [backup-simplify]: Simplify y into y
3.425 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.425 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2))
3.425 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2))
3.425 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y)
3.425 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.425 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0
3.426 * [backup-simplify]: Simplify (+ 0 0) into 0
3.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0
3.426 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.426 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.426 * [taylor]: Taking taylor expansion of 2 in y
3.426 * [backup-simplify]: Simplify 2 into 2
3.426 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.426 * [taylor]: Taking taylor expansion of y in y
3.426 * [backup-simplify]: Simplify 0 into 0
3.426 * [backup-simplify]: Simplify 1 into 1
3.427 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [taylor]: Taking taylor expansion of 0 in y
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.428 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.429 * [backup-simplify]: Simplify (* 1 1) into 1
3.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.430 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.430 * [backup-simplify]: Simplify (+ 1 0) into 1
3.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y))
3.431 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
3.431 * [taylor]: Taking taylor expansion of 1/2 in y
3.431 * [backup-simplify]: Simplify 1/2 into 1/2
3.431 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
3.431 * [taylor]: Taking taylor expansion of (sqrt 2) in y
3.431 * [taylor]: Taking taylor expansion of 2 in y
3.431 * [backup-simplify]: Simplify 2 into 2
3.431 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.431 * [taylor]: Taking taylor expansion of y in y
3.431 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify 1 into 1
3.432 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
3.433 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
3.434 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
3.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.435 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.436 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
3.436 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify 0 into 0
3.437 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.437 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.437 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.438 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.439 * [backup-simplify]: Simplify (+ 0 0) into 0
3.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0
3.440 * [taylor]: Taking taylor expansion of 0 in y
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify 0 into 0
3.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
3.442 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.442 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y)
3.443 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.443 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.444 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.444 * [taylor]: Taking taylor expansion of x in y
3.444 * [backup-simplify]: Simplify x into x
3.444 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.444 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.444 * [taylor]: Taking taylor expansion of 2 in y
3.444 * [backup-simplify]: Simplify 2 into 2
3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.444 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.444 * [taylor]: Taking taylor expansion of y in y
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify 1 into 1
3.444 * [backup-simplify]: Simplify (* 1 1) into 1
3.444 * [backup-simplify]: Simplify (/ 1 1) into 1
3.445 * [backup-simplify]: Simplify (* 2 1) into 2
3.445 * [backup-simplify]: Simplify (+ 0 2) into 2
3.445 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.447 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.447 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.447 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.447 * [taylor]: Taking taylor expansion of x in x
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.448 * [backup-simplify]: Simplify (* 1 1) into 1
3.448 * [backup-simplify]: Simplify (/ 1 1) into 1
3.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.448 * [taylor]: Taking taylor expansion of 2 in x
3.448 * [backup-simplify]: Simplify 2 into 2
3.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.448 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.448 * [taylor]: Taking taylor expansion of y in x
3.448 * [backup-simplify]: Simplify y into y
3.448 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.448 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.449 * [backup-simplify]: Simplify (+ 1 0) into 1
3.449 * [backup-simplify]: Simplify (sqrt 1) into 1
3.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (+ 0 0) into 0
3.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.451 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.451 * [taylor]: Taking taylor expansion of x in x
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [backup-simplify]: Simplify (* 1 1) into 1
3.451 * [backup-simplify]: Simplify (/ 1 1) into 1
3.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.451 * [taylor]: Taking taylor expansion of 2 in x
3.451 * [backup-simplify]: Simplify 2 into 2
3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.451 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.451 * [taylor]: Taking taylor expansion of y in x
3.451 * [backup-simplify]: Simplify y into y
3.451 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.452 * [backup-simplify]: Simplify (+ 1 0) into 1
3.452 * [backup-simplify]: Simplify (sqrt 1) into 1
3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.454 * [taylor]: Taking taylor expansion of 1 in y
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [taylor]: Taking taylor expansion of 0 in y
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.464 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.464 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.465 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.465 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.465 * [taylor]: Taking taylor expansion of y in y
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [backup-simplify]: Simplify (* 1 1) into 1
3.466 * [backup-simplify]: Simplify (/ 1 1) into 1
3.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.468 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.468 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.469 * [backup-simplify]: Simplify (+ 0 0) into 0
3.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.469 * [taylor]: Taking taylor expansion of 0 in y
3.469 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.471 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
3.471 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
3.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
3.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.471 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.471 * [taylor]: Taking taylor expansion of x in y
3.471 * [backup-simplify]: Simplify x into x
3.471 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.471 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.471 * [taylor]: Taking taylor expansion of 2 in y
3.471 * [backup-simplify]: Simplify 2 into 2
3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.471 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.471 * [taylor]: Taking taylor expansion of y in y
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.472 * [backup-simplify]: Simplify (* 1 1) into 1
3.472 * [backup-simplify]: Simplify (/ 1 1) into 1
3.472 * [backup-simplify]: Simplify (* 2 1) into 2
3.473 * [backup-simplify]: Simplify (+ 0 2) into 2
3.473 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.474 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.474 * [backup-simplify]: Simplify (+ 0 0) into 0
3.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.475 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.475 * [taylor]: Taking taylor expansion of x in x
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 1 into 1
3.475 * [backup-simplify]: Simplify (* 1 1) into 1
3.475 * [backup-simplify]: Simplify (/ 1 1) into 1
3.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.475 * [taylor]: Taking taylor expansion of 2 in x
3.475 * [backup-simplify]: Simplify 2 into 2
3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.475 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.475 * [taylor]: Taking taylor expansion of y in x
3.475 * [backup-simplify]: Simplify y into y
3.475 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.476 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.476 * [backup-simplify]: Simplify (+ 1 0) into 1
3.476 * [backup-simplify]: Simplify (sqrt 1) into 1
3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (+ 0 0) into 0
3.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.478 * [taylor]: Taking taylor expansion of x in x
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (* 1 1) into 1
3.478 * [backup-simplify]: Simplify (/ 1 1) into 1
3.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
3.478 * [taylor]: Taking taylor expansion of 2 in x
3.478 * [backup-simplify]: Simplify 2 into 2
3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.478 * [taylor]: Taking taylor expansion of y in x
3.478 * [backup-simplify]: Simplify y into y
3.478 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.479 * [backup-simplify]: Simplify (+ 1 0) into 1
3.479 * [backup-simplify]: Simplify (sqrt 1) into 1
3.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.480 * [backup-simplify]: Simplify (+ 0 0) into 0
3.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.481 * [taylor]: Taking taylor expansion of 1 in y
3.481 * [backup-simplify]: Simplify 1 into 1
3.481 * [taylor]: Taking taylor expansion of 0 in y
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 1 into 1
3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.482 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2))
3.482 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.483 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2))
3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.483 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.483 * [taylor]: Taking taylor expansion of y in y
3.483 * [backup-simplify]: Simplify 0 into 0
3.483 * [backup-simplify]: Simplify 1 into 1
3.483 * [backup-simplify]: Simplify (* 1 1) into 1
3.483 * [backup-simplify]: Simplify (/ 1 1) into 1
3.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.484 * [backup-simplify]: Simplify 0 into 0
3.484 * [backup-simplify]: Simplify 0 into 0
3.484 * [backup-simplify]: Simplify 0 into 0
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.486 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0
3.486 * [backup-simplify]: Simplify (+ 0 0) into 0
3.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0
3.487 * [taylor]: Taking taylor expansion of 0 in y
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.488 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.488 * * * [progress]: simplifying candidates
3.490 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))
  (sqrt (- (+ (* x x) (* y y)) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))
  (sqrt (- (+ (* x x) (* y y)) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))
  (sqrt (- (+ (* x x) (* y y)) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (log (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (exp (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))))
  (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* y y)))))
  (* (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))))
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))))
  (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1)
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
3.491 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (log (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (log (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (exp (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1/2 2) (/ 1/2 2))
 (+ (/ 1/2 2) (/ (/ 1 2) 2))
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (+ (/ (/ 1 2) 2) (/ 1/2 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))
 (+ 1 1)
 (+ (log (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (log (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (log (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (exp (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (* (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (* (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (cbrt (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))) (cbrt (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (cbrt (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (* (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))) (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))
 (sqrt (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (sqrt (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))) (sqrt (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))) (sqrt (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (sqrt (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (* (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))) (* (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))) (sqrt (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (sqrt (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))) (sqrt (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (sqrt (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* 1 1)
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1/2 2))
 (* 2 (/ 1 2))
 (* 2 (/ (/ 1 2) 2))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (* (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (* (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt 1))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) 1)
 (* (cbrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (cbrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (sqrt (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt (sqrt (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))))
 (* (sqrt 2) h0)
 h1
 (* -1 h1)
 (* (sqrt 2) h0)
 h1
 (* -1 h1)
 (* (sqrt 2) h0)
 h1
 (* -1 h1)
 (* (sqrt 2) h0)
 h1
 (* -1 h1)
3.531 * * * [progress]: adding candidates to table
3.851 * [progress]: [Phase 3 of 3] Extracting.
3.851 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (* (fabs (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (pow (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 3))))> #<alt (λ (x y) (* (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (* (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (* (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (pow (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) 4)))> #<alt (λ (x y) (/ (* (* (+ (* x x) (* y y)) 1) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y))))>)
3.856 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x)
3.856 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (* (fabs (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (pow (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 3))))> #<alt (λ (x y) (* (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (* (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (* (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (pow (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) 4)))> #<alt (λ (x y) (/ (* (* (+ (* x x) (* y y)) 1) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y))))>)
3.886 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (* (fabs (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (pow (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 3))))> #<alt (λ (x y) (* (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (* (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (* (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (pow (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) 4)))> #<alt (λ (x y) (/ (* (* (+ (* x x) (* y y)) 1) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y))))>)
3.926 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (#<alt (λ (x y) (* (* (fabs (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (pow (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 3))))> #<alt (λ (x y) (* (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (* (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (* (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (pow (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) 4)))> #<alt (λ (x y) (/ (* (* (+ (* x x) (* y y)) 1) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y))))>)
3.964 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (* (fabs (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (pow (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 3))))> #<alt (λ (x y) (* (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (* (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (* (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (pow (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) 4)))> #<alt (λ (x y) (/ (* (* (+ (* x x) (* y y)) 1) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y))))>)
4.002 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (* (fabs (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (pow (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 3))))> #<alt (λ (x y) (* (sqrt (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (* (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))))> #<alt (λ (x y) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))> #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (* (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (pow (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) 4)))> #<alt (λ (x y) (/ (* (* (+ (* x x) (* y y)) 1) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y))))>)
4.037 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
4.037 * [simplify]: Simplifying:
  (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
4.038 * [simplify]: Sending expressions to egg_math:
 (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))
5.357 * [regime-testing]: Baseline error score: 0.14160266283357537
5.358 * [regime-testing]: Oracle error score: 0.043401665833409465
5.362 * [regime-testing]: End program error score: 0.14160266283357537
5.383 * [regime-testing]: Target error score: 0.12314039254906864