12.778 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.023 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.025 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
0.026 * [simplify]: Sending expressions to egg_math:
 (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))
0.029 * * [simplify]: iteration  0 :  14  enodes  (cost  6 )
0.031 * * [simplify]: iteration  1 :  29  enodes  (cost  4 )
0.034 * * [simplify]: iteration  2 :  50  enodes  (cost  4 )
0.037 * * [simplify]: iteration  3 :  70  enodes  (cost  3 )
0.040 * * [simplify]: iteration  4 :  82  enodes  (cost  3 )
0.044 * * [simplify]: iteration  5 :  125  enodes  (cost  3 )
0.048 * * [simplify]: iteration  6 :  229  enodes  (cost  3 )
0.052 * * [simplify]: iteration  7 :  321  enodes  (cost  3 )
0.056 * * [simplify]: iteration  8 :  336  enodes  (cost  3 )
0.060 * * [simplify]: iteration  9 :  436  enodes  (cost  3 )
0.068 * * [simplify]: iteration  10 :  790  enodes  (cost  3 )
0.100 * * [simplify]: iteration  11 :  3492  enodes  (cost  3 )
0.335 * * [simplify]: iteration  12 :  5001  enodes  (cost  3 )
0.337 * [simplify]: Simplified to:
   (fma 3 (* y y) (* x x))
0.340 * * [progress]: iteration 1 / 4
0.340 * * * [progress]: picking best candidate
0.343 * * * * [pick]: Picked  #<alt (λ (x y) (fma 3 (* y y) (* x x)))>
0.343 * * * [progress]: localizing error
0.349 * * * [progress]: generating rewritten candidates
0.349 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.350 * * * [progress]: generating series expansions
0.350 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.350 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0
0.350 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x
0.350 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2))
0.350 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.350 * [taylor]: Taking taylor expansion of 3 in x
0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.350 * [taylor]: Taking taylor expansion of y in x
0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.350 * [taylor]: Taking taylor expansion of x in x
0.350 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y
0.350 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2))
0.350 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.350 * [taylor]: Taking taylor expansion of 3 in y
0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.350 * [taylor]: Taking taylor expansion of y in y
0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.350 * [taylor]: Taking taylor expansion of x in y
0.350 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y
0.351 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2))
0.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.351 * [taylor]: Taking taylor expansion of 3 in y
0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.351 * [taylor]: Taking taylor expansion of y in y
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.351 * [taylor]: Taking taylor expansion of x in y
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.351 * [taylor]: Taking taylor expansion of x in x
0.351 * [taylor]: Taking taylor expansion of 0 in x
0.353 * [taylor]: Taking taylor expansion of 3 in x
0.355 * [taylor]: Taking taylor expansion of 0 in x
0.357 * [taylor]: Taking taylor expansion of 0 in x
0.358 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0
0.358 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.358 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.358 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.358 * [taylor]: Taking taylor expansion of 3 in x
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.358 * [taylor]: Taking taylor expansion of y in x
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.359 * [taylor]: Taking taylor expansion of x in x
0.359 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.360 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.360 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.360 * [taylor]: Taking taylor expansion of 3 in y
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.360 * [taylor]: Taking taylor expansion of y in y
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.360 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.360 * [taylor]: Taking taylor expansion of x in y
0.361 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.361 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.361 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.361 * [taylor]: Taking taylor expansion of 3 in y
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.361 * [taylor]: Taking taylor expansion of y in y
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.362 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.362 * [taylor]: Taking taylor expansion of x in y
0.362 * [taylor]: Taking taylor expansion of 3 in x
0.364 * [taylor]: Taking taylor expansion of 0 in x
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.366 * [taylor]: Taking taylor expansion of x in x
0.369 * [taylor]: Taking taylor expansion of 0 in x
0.373 * [taylor]: Taking taylor expansion of 0 in x
0.375 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0
0.375 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.375 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.375 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.375 * [taylor]: Taking taylor expansion of 3 in x
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.375 * [taylor]: Taking taylor expansion of y in x
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.376 * [taylor]: Taking taylor expansion of x in x
0.376 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.377 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.377 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.377 * [taylor]: Taking taylor expansion of 3 in y
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.377 * [taylor]: Taking taylor expansion of x in y
0.377 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.378 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.378 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.378 * [taylor]: Taking taylor expansion of 3 in y
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.378 * [taylor]: Taking taylor expansion of y in y
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.378 * [taylor]: Taking taylor expansion of x in y
0.379 * [taylor]: Taking taylor expansion of 3 in x
0.381 * [taylor]: Taking taylor expansion of 0 in x
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.383 * [taylor]: Taking taylor expansion of x in x
0.386 * [taylor]: Taking taylor expansion of 0 in x
0.390 * [taylor]: Taking taylor expansion of 0 in x
0.398 * * * [progress]: simplifying candidates
0.398 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (fma 3 (* y y) (* x x)))
  (log1p (fma 3 (* y y) (* x x)))
  (* 3 (* y y))
  (log (fma 3 (* y y) (* x x)))
  (exp (fma 3 (* y y) (* x x)))
  (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x))))
  (cbrt (fma 3 (* y y) (* x x)))
  (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)))
  (sqrt (fma 3 (* y y) (* x x)))
  (sqrt (fma 3 (* y y) (* x x)))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
0.398 * [simplify]: Sending expressions to egg_math:
 (expm1 (fma 3 (* h0 h0) (* h1 h1)))
 (log1p (fma 3 (* h0 h0) (* h1 h1)))
 (* 3 (* h0 h0))
 (log (fma 3 (* h0 h0) (* h1 h1)))
 (exp (fma 3 (* h0 h0) (* h1 h1)))
 (* (cbrt (fma 3 (* h0 h0) (* h1 h1))) (cbrt (fma 3 (* h0 h0) (* h1 h1))))
 (cbrt (fma 3 (* h0 h0) (* h1 h1)))
 (* (* (fma 3 (* h0 h0) (* h1 h1)) (fma 3 (* h0 h0) (* h1 h1))) (fma 3 (* h0 h0) (* h1 h1)))
 (sqrt (fma 3 (* h0 h0) (* h1 h1)))
 (sqrt (fma 3 (* h0 h0) (* h1 h1)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
 (+ (pow h1 2) (* 3 (pow h0 2)))
0.402 * * [simplify]: iteration  0 :  33  enodes  (cost  59 )
0.405 * * [simplify]: iteration  1 :  84  enodes  (cost  52 )
0.409 * * [simplify]: iteration  2 :  267  enodes  (cost  52 )
0.418 * * [simplify]: iteration  3 :  1089  enodes  (cost  52 )
0.468 * * [simplify]: iteration  4 :  5002  enodes  (cost  52 )
0.469 * [simplify]: Simplified to:
   (expm1 (fma 3 (* y y) (* x x)))
  (log1p (fma 3 (* y y) (* x x)))
  (* 3 (* y y))
  (log (fma 3 (* y y) (* x x)))
  (exp (fma 3 (* y y) (* x x)))
  (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x))))
  (cbrt (fma 3 (* y y) (* x x)))
  (pow (fma 3 (* y y) (* x x)) 3)
  (sqrt (fma 3 (* y y) (* x x)))
  (sqrt (fma 3 (* y y) (* x x)))
  (fma 3 (* y y) (* x x))
  (fma 3 (* y y) (* x x))
  (fma 3 (* y y) (* x x))
0.469 * * * [progress]: adding candidates to table
0.497 * * [progress]: iteration 2 / 4
0.497 * * * [progress]: picking best candidate
0.500 * * * * [pick]: Picked  #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))>
0.500 * * * [progress]: localizing error
0.508 * * * [progress]: generating rewritten candidates
0.508 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.644 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.681 * * * [progress]: generating series expansions
0.681 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.682 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0
0.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
0.682 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.682 * [taylor]: Taking taylor expansion of x in y
0.682 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.682 * [taylor]: Taking taylor expansion of 3 in y
0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.682 * [taylor]: Taking taylor expansion of y in y
0.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.682 * [taylor]: Taking taylor expansion of x in x
0.682 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.682 * [taylor]: Taking taylor expansion of 3 in x
0.682 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.682 * [taylor]: Taking taylor expansion of y in x
0.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.682 * [taylor]: Taking taylor expansion of x in x
0.682 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.682 * [taylor]: Taking taylor expansion of 3 in x
0.682 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.682 * [taylor]: Taking taylor expansion of y in x
0.683 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.683 * [taylor]: Taking taylor expansion of 3 in y
0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.683 * [taylor]: Taking taylor expansion of y in y
0.684 * [taylor]: Taking taylor expansion of 0 in y
0.685 * [taylor]: Taking taylor expansion of 1 in y
0.688 * [taylor]: Taking taylor expansion of 0 in y
0.691 * [taylor]: Taking taylor expansion of 0 in y
0.692 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.692 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.692 * [taylor]: Taking taylor expansion of x in y
0.692 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.692 * [taylor]: Taking taylor expansion of 3 in y
0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.693 * [taylor]: Taking taylor expansion of y in y
0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.693 * [taylor]: Taking taylor expansion of x in x
0.694 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.694 * [taylor]: Taking taylor expansion of 3 in x
0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.694 * [taylor]: Taking taylor expansion of y in x
0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.694 * [taylor]: Taking taylor expansion of x in x
0.695 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.695 * [taylor]: Taking taylor expansion of 3 in x
0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.695 * [taylor]: Taking taylor expansion of y in x
0.695 * [taylor]: Taking taylor expansion of 1 in y
0.697 * [taylor]: Taking taylor expansion of 0 in y
0.698 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.698 * [taylor]: Taking taylor expansion of 3 in y
0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.698 * [taylor]: Taking taylor expansion of y in y
0.701 * [taylor]: Taking taylor expansion of 0 in y
0.706 * [taylor]: Taking taylor expansion of 0 in y
0.708 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.708 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.708 * [taylor]: Taking taylor expansion of x in y
0.708 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.708 * [taylor]: Taking taylor expansion of 3 in y
0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.709 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.709 * [taylor]: Taking taylor expansion of y in y
0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.709 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.709 * [taylor]: Taking taylor expansion of x in x
0.710 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.710 * [taylor]: Taking taylor expansion of 3 in x
0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.710 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.710 * [taylor]: Taking taylor expansion of y in x
0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.710 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.710 * [taylor]: Taking taylor expansion of x in x
0.711 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.711 * [taylor]: Taking taylor expansion of 3 in x
0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.711 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.711 * [taylor]: Taking taylor expansion of y in x
0.712 * [taylor]: Taking taylor expansion of 1 in y
0.713 * [taylor]: Taking taylor expansion of 0 in y
0.714 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.714 * [taylor]: Taking taylor expansion of 3 in y
0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.714 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.714 * [taylor]: Taking taylor expansion of y in y
0.718 * [taylor]: Taking taylor expansion of 0 in y
0.722 * [taylor]: Taking taylor expansion of 0 in y
0.724 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.725 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0
0.725 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
0.725 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.725 * [taylor]: Taking taylor expansion of x in y
0.725 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.725 * [taylor]: Taking taylor expansion of 2 in y
0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.725 * [taylor]: Taking taylor expansion of y in y
0.725 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.725 * [taylor]: Taking taylor expansion of x in x
0.725 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.725 * [taylor]: Taking taylor expansion of 2 in x
0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.725 * [taylor]: Taking taylor expansion of y in x
0.725 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.725 * [taylor]: Taking taylor expansion of x in x
0.725 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.725 * [taylor]: Taking taylor expansion of 2 in x
0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.725 * [taylor]: Taking taylor expansion of y in x
0.725 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.725 * [taylor]: Taking taylor expansion of 2 in y
0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.725 * [taylor]: Taking taylor expansion of y in y
0.726 * [taylor]: Taking taylor expansion of 0 in y
0.728 * [taylor]: Taking taylor expansion of 1 in y
0.731 * [taylor]: Taking taylor expansion of 0 in y
0.734 * [taylor]: Taking taylor expansion of 0 in y
0.735 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.735 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.735 * [taylor]: Taking taylor expansion of x in y
0.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.735 * [taylor]: Taking taylor expansion of 2 in y
0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.735 * [taylor]: Taking taylor expansion of y in y
0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.736 * [taylor]: Taking taylor expansion of x in x
0.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.737 * [taylor]: Taking taylor expansion of 2 in x
0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.737 * [taylor]: Taking taylor expansion of y in x
0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.737 * [taylor]: Taking taylor expansion of x in x
0.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.738 * [taylor]: Taking taylor expansion of 2 in x
0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.738 * [taylor]: Taking taylor expansion of y in x
0.738 * [taylor]: Taking taylor expansion of 1 in y
0.740 * [taylor]: Taking taylor expansion of 0 in y
0.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.741 * [taylor]: Taking taylor expansion of 2 in y
0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.741 * [taylor]: Taking taylor expansion of y in y
0.745 * [taylor]: Taking taylor expansion of 0 in y
0.749 * [taylor]: Taking taylor expansion of 0 in y
0.752 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.752 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.752 * [taylor]: Taking taylor expansion of x in y
0.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.752 * [taylor]: Taking taylor expansion of 2 in y
0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.752 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.752 * [taylor]: Taking taylor expansion of y in y
0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.753 * [taylor]: Taking taylor expansion of x in x
0.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.753 * [taylor]: Taking taylor expansion of 2 in x
0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.753 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.754 * [taylor]: Taking taylor expansion of y in x
0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.754 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.754 * [taylor]: Taking taylor expansion of x in x
0.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.754 * [taylor]: Taking taylor expansion of 2 in x
0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.754 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.754 * [taylor]: Taking taylor expansion of y in x
0.755 * [taylor]: Taking taylor expansion of 1 in y
0.756 * [taylor]: Taking taylor expansion of 0 in y
0.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.758 * [taylor]: Taking taylor expansion of 2 in y
0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.758 * [taylor]: Taking taylor expansion of y in y
0.761 * [taylor]: Taking taylor expansion of 0 in y
0.771 * [taylor]: Taking taylor expansion of 0 in y
0.773 * * * [progress]: simplifying candidates
0.774 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (* (* (* (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))
  (expm1 (+ (+ (* x x) (* y y)) (* y y)))
  (log1p (+ (+ (* x x) (* y y)) (* 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) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
0.774 * [simplify]: Sending expressions to egg_math:
 (expm1 (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (log1p (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (* (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h1 h1))) (exp (* h1 h1)))
 (* (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h1 h1))) (exp (* h1 h1)))
 (* (exp (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (exp (* h1 h1)))
 (log (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (exp (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (* (cbrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))))
 (cbrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (* (* (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)) (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))
 (+ (pow (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) 3) (pow (* h1 h1) 3))
 (+ (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))))
 (- (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* (* h1 h1) (* h1 h1)))
 (- (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))
 (+ (* h1 h1) (* h1 h1))
 (expm1 (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (log1p (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h1 h1)))
 (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h1 h1)))
 (log (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (exp (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (* (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h1 h1) 3))
 (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h1 h1) (* h1 h1)))
 (- (+ (* h0 h0) (* h1 h1)) (* h1 h1))
 (+ (* h1 h1) (* h1 h1))
 (+ (pow h0 2) (* 3 (pow h1 2)))
 (+ (pow h0 2) (* 3 (pow h1 2)))
 (+ (pow h0 2) (* 3 (pow h1 2)))
 (+ (pow h0 2) (* 2 (pow h1 2)))
 (+ (pow h0 2) (* 2 (pow h1 2)))
 (+ (pow h0 2) (* 2 (pow h1 2)))
0.780 * * [simplify]: iteration  0 :  178  enodes  (cost  305 )
0.786 * * [simplify]: iteration  1 :  842  enodes  (cost  249 )
0.806 * * [simplify]: iteration  2 :  4026  enodes  (cost  226 )
0.898 * * [simplify]: iteration  3 :  5001  enodes  (cost  221 )
0.900 * [simplify]: Simplified to:
   (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (exp (+ (fma x x (fma y y (* y y))) (pow y 2)))
  (exp (+ (fma x x (fma y y (* y y))) (pow y 2)))
  (exp (+ (fma x x (fma y y (* y y))) (pow y 2)))
  (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (exp (+ (fma x x (fma y y (* y y))) (pow y 2)))
  (* (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)))
  (pow (fma y y (fma x x (fma y y (* y y)))) 3)
  (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
  (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3))
  (fma (fma x x (* y y)) (fma x x (fma y y (* y y))) (pow y 4))
  (fma (fma (pow y 2) 3 (pow x 2)) (fma x x (* y y)) 0)
  (fma x x (* y y))
  (fma y y (* y y))
  (expm1 (+ (+ (* x x) (* y y)) (* y y)))
  (log1p (+ (+ (* x x) (* y y)) (* y y)))
  (exp (+ (fma x x (* y y)) (pow y 2)))
  (exp (+ (fma x x (* y y)) (pow y 2)))
  (log (+ (+ (* x x) (* y y)) (* y y)))
  (exp (+ (fma x x (* y y)) (pow y 2)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (cbrt (+ (+ (* x x) (* y y)) (* y y)))
  (pow (fma x x (fma y y (* y y))) 3)
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (sqrt (+ (+ (* x x) (* y y)) (* y y)))
  (fma y (pow y 5) (pow (fma x x (* y y)) 3))
  (fma (pow x 2) (fma x x (* y y)) (pow y 4))
  (* (pow x 2) (fma x x (fma y y (* y y))))
  (pow x 2)
  (fma y y (* y y))
  (fma (pow y 2) 3 (pow x 2))
  (fma (pow y 2) 3 (pow x 2))
  (fma (pow y 2) 3 (pow x 2))
  (fma x x (fma y y (* y y)))
  (fma x x (fma y y (* y y)))
  (fma x x (fma y y (* y y)))
0.900 * * * [progress]: adding candidates to table
1.000 * * [progress]: iteration 3 / 4
1.000 * * * [progress]: picking best candidate
1.017 * * * * [pick]: Picked  #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))>
1.017 * * * [progress]: localizing error
1.027 * * * [progress]: generating rewritten candidates
1.027 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.062 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.100 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.100 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
1.135 * * * [progress]: generating series expansions
1.136 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.136 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
1.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.136 * [taylor]: Taking taylor expansion of 2 in y
1.136 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.136 * [taylor]: Taking taylor expansion of y in y
1.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.137 * [taylor]: Taking taylor expansion of x in x
1.137 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.137 * [taylor]: Taking taylor expansion of 2 in x
1.137 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.137 * [taylor]: Taking taylor expansion of y in x
1.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.139 * [taylor]: Taking taylor expansion of x in x
1.139 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.139 * [taylor]: Taking taylor expansion of 2 in x
1.139 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.139 * [taylor]: Taking taylor expansion of y in x
1.140 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.140 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.140 * [taylor]: Taking taylor expansion of 2 in y
1.141 * [taylor]: Taking taylor expansion of y in y
1.141 * [taylor]: Taking taylor expansion of 0 in y
1.145 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
1.145 * [taylor]: Taking taylor expansion of 1/2 in y
1.145 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.145 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.145 * [taylor]: Taking taylor expansion of 2 in y
1.146 * [taylor]: Taking taylor expansion of y in y
1.154 * [taylor]: Taking taylor expansion of 0 in y
1.162 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.162 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.162 * [taylor]: Taking taylor expansion of x in y
1.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.162 * [taylor]: Taking taylor expansion of 2 in y
1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.162 * [taylor]: Taking taylor expansion of y in y
1.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.166 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.166 * [taylor]: Taking taylor expansion of x in x
1.166 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.166 * [taylor]: Taking taylor expansion of 2 in x
1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.166 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.166 * [taylor]: Taking taylor expansion of y in x
1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.169 * [taylor]: Taking taylor expansion of x in x
1.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.169 * [taylor]: Taking taylor expansion of 2 in x
1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.169 * [taylor]: Taking taylor expansion of y in x
1.171 * [taylor]: Taking taylor expansion of 1 in y
1.171 * [taylor]: Taking taylor expansion of 0 in y
1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.174 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.174 * [taylor]: Taking taylor expansion of y in y
1.177 * [taylor]: Taking taylor expansion of 0 in y
1.179 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.179 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.179 * [taylor]: Taking taylor expansion of x in y
1.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.179 * [taylor]: Taking taylor expansion of 2 in y
1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.179 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.179 * [taylor]: Taking taylor expansion of y in y
1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.183 * [taylor]: Taking taylor expansion of x in x
1.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.183 * [taylor]: Taking taylor expansion of 2 in x
1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.183 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.183 * [taylor]: Taking taylor expansion of y in x
1.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.185 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.185 * [taylor]: Taking taylor expansion of x in x
1.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.186 * [taylor]: Taking taylor expansion of 2 in x
1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.186 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.186 * [taylor]: Taking taylor expansion of y in x
1.188 * [taylor]: Taking taylor expansion of 1 in y
1.188 * [taylor]: Taking taylor expansion of 0 in y
1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.191 * [taylor]: Taking taylor expansion of y in y
1.194 * [taylor]: Taking taylor expansion of 0 in y
1.195 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.196 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
1.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.196 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.196 * [taylor]: Taking taylor expansion of x in y
1.196 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.196 * [taylor]: Taking taylor expansion of 2 in y
1.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.196 * [taylor]: Taking taylor expansion of y in y
1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.197 * [taylor]: Taking taylor expansion of x in x
1.197 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.197 * [taylor]: Taking taylor expansion of 2 in x
1.197 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.197 * [taylor]: Taking taylor expansion of y in x
1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.198 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.198 * [taylor]: Taking taylor expansion of 2 in x
1.198 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.198 * [taylor]: Taking taylor expansion of y in x
1.199 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.199 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.199 * [taylor]: Taking taylor expansion of 2 in y
1.200 * [taylor]: Taking taylor expansion of y in y
1.200 * [taylor]: Taking taylor expansion of 0 in y
1.204 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
1.204 * [taylor]: Taking taylor expansion of 1/2 in y
1.204 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.204 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.204 * [taylor]: Taking taylor expansion of 2 in y
1.205 * [taylor]: Taking taylor expansion of y in y
1.213 * [taylor]: Taking taylor expansion of 0 in y
1.216 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.216 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.216 * [taylor]: Taking taylor expansion of x in y
1.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.216 * [taylor]: Taking taylor expansion of 2 in y
1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.216 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.216 * [taylor]: Taking taylor expansion of y in y
1.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.220 * [taylor]: Taking taylor expansion of x in x
1.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.220 * [taylor]: Taking taylor expansion of 2 in x
1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.220 * [taylor]: Taking taylor expansion of y in x
1.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.222 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.222 * [taylor]: Taking taylor expansion of x in x
1.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.223 * [taylor]: Taking taylor expansion of 2 in x
1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.223 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.223 * [taylor]: Taking taylor expansion of y in x
1.225 * [taylor]: Taking taylor expansion of 1 in y
1.225 * [taylor]: Taking taylor expansion of 0 in y
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
1.231 * [taylor]: Taking taylor expansion of 0 in y
1.233 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.233 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.233 * [taylor]: Taking taylor expansion of x in y
1.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.233 * [taylor]: Taking taylor expansion of 2 in y
1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.233 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.233 * [taylor]: Taking taylor expansion of y in y
1.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.237 * [taylor]: Taking taylor expansion of x in x
1.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.237 * [taylor]: Taking taylor expansion of 2 in x
1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.237 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.237 * [taylor]: Taking taylor expansion of y in x
1.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
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
1.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.240 * [taylor]: Taking taylor expansion of 2 in x
1.240 * [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
1.242 * [taylor]: Taking taylor expansion of 1 in y
1.242 * [taylor]: Taking taylor expansion of 0 in y
1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.245 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.245 * [taylor]: Taking taylor expansion of y in y
1.248 * [taylor]: Taking taylor expansion of 0 in y
1.250 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.250 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0
1.250 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y
1.250 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
1.250 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y
1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.250 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.250 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.250 * [taylor]: Taking taylor expansion of x in y
1.250 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.250 * [taylor]: Taking taylor expansion of 2 in y
1.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.250 * [taylor]: Taking taylor expansion of y in y
1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.251 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.251 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.251 * [taylor]: Taking taylor expansion of x in y
1.251 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.251 * [taylor]: Taking taylor expansion of 2 in y
1.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.251 * [taylor]: Taking taylor expansion of y in y
1.252 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.252 * [taylor]: Taking taylor expansion of y in y
1.252 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x
1.252 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
1.252 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x
1.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.252 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.252 * [taylor]: Taking taylor expansion of x in x
1.252 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.252 * [taylor]: Taking taylor expansion of 2 in x
1.252 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.252 * [taylor]: Taking taylor expansion of y in x
1.253 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.253 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.253 * [taylor]: Taking taylor expansion of x in x
1.254 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.254 * [taylor]: Taking taylor expansion of 2 in x
1.254 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.254 * [taylor]: Taking taylor expansion of y in x
1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.255 * [taylor]: Taking taylor expansion of y in x
1.255 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x
1.255 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
1.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x
1.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.255 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.255 * [taylor]: Taking taylor expansion of x in x
1.255 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.255 * [taylor]: Taking taylor expansion of 2 in x
1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.255 * [taylor]: Taking taylor expansion of y in x
1.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.256 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.256 * [taylor]: Taking taylor expansion of x in x
1.256 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.256 * [taylor]: Taking taylor expansion of 2 in x
1.256 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.256 * [taylor]: Taking taylor expansion of y in x
1.258 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.258 * [taylor]: Taking taylor expansion of y in x
1.259 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y
1.259 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.259 * [taylor]: Taking taylor expansion of y in y
1.259 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y
1.259 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
1.259 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.259 * [taylor]: Taking taylor expansion of 2 in y
1.260 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.260 * [taylor]: Taking taylor expansion of y in y
1.261 * [taylor]: Taking taylor expansion of 0 in y
1.275 * [taylor]: Taking taylor expansion of 1 in y
1.286 * [taylor]: Taking taylor expansion of 0 in y
1.300 * [taylor]: Taking taylor expansion of 0 in y
1.301 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0
1.301 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y
1.302 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.302 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y
1.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.302 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.302 * [taylor]: Taking taylor expansion of x in y
1.302 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.302 * [taylor]: Taking taylor expansion of 2 in y
1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.302 * [taylor]: Taking taylor expansion of y in y
1.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.305 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.305 * [taylor]: Taking taylor expansion of x in y
1.305 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.305 * [taylor]: Taking taylor expansion of 2 in y
1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.306 * [taylor]: Taking taylor expansion of y in y
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.309 * [taylor]: Taking taylor expansion of y in y
1.309 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.309 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.309 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.309 * [taylor]: Taking taylor expansion of x in x
1.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.310 * [taylor]: Taking taylor expansion of 2 in x
1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.310 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.310 * [taylor]: Taking taylor expansion of y in x
1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.313 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.313 * [taylor]: Taking taylor expansion of x in x
1.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.313 * [taylor]: Taking taylor expansion of 2 in x
1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.313 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.313 * [taylor]: Taking taylor expansion of y in x
1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.315 * [taylor]: Taking taylor expansion of y in x
1.315 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.316 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.316 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.316 * [taylor]: Taking taylor expansion of x in x
1.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.316 * [taylor]: Taking taylor expansion of 2 in x
1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.316 * [taylor]: Taking taylor expansion of y in x
1.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.319 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.319 * [taylor]: Taking taylor expansion of x in x
1.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.319 * [taylor]: Taking taylor expansion of 2 in x
1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.319 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.319 * [taylor]: Taking taylor expansion of y in x
1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.322 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.322 * [taylor]: Taking taylor expansion of y in x
1.322 * [taylor]: Taking taylor expansion of 1 in y
1.323 * [taylor]: Taking taylor expansion of 0 in y
1.329 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.329 * [taylor]: Taking taylor expansion of 3 in y
1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.329 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.329 * [taylor]: Taking taylor expansion of y in y
1.336 * [taylor]: Taking taylor expansion of 0 in y
1.345 * [taylor]: Taking taylor expansion of 0 in y
1.348 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0
1.348 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y
1.348 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.348 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y
1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.348 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.348 * [taylor]: Taking taylor expansion of x in y
1.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.348 * [taylor]: Taking taylor expansion of 2 in y
1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.348 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.348 * [taylor]: Taking taylor expansion of y in y
1.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.351 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.351 * [taylor]: Taking taylor expansion of x in y
1.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.351 * [taylor]: Taking taylor expansion of 2 in y
1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.351 * [taylor]: Taking taylor expansion of y in y
1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.354 * [taylor]: Taking taylor expansion of y in y
1.355 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.355 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.355 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.355 * [taylor]: Taking taylor expansion of x in x
1.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.356 * [taylor]: Taking taylor expansion of 2 in x
1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.356 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.356 * [taylor]: Taking taylor expansion of y in x
1.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.358 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.358 * [taylor]: Taking taylor expansion of x in x
1.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.358 * [taylor]: Taking taylor expansion of 2 in x
1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.358 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.358 * [taylor]: Taking taylor expansion of y in x
1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.360 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.361 * [taylor]: Taking taylor expansion of y in x
1.361 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.361 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.361 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.361 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.361 * [taylor]: Taking taylor expansion of x in x
1.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.362 * [taylor]: Taking taylor expansion of 2 in x
1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.362 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.362 * [taylor]: Taking taylor expansion of y in x
1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.364 * [taylor]: Taking taylor expansion of x in x
1.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.364 * [taylor]: Taking taylor expansion of 2 in x
1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.365 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.365 * [taylor]: Taking taylor expansion of y in x
1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.367 * [taylor]: Taking taylor expansion of y in x
1.367 * [taylor]: Taking taylor expansion of 1 in y
1.368 * [taylor]: Taking taylor expansion of 0 in y
1.379 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.379 * [taylor]: Taking taylor expansion of 3 in y
1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.379 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.379 * [taylor]: Taking taylor expansion of y in y
1.386 * [taylor]: Taking taylor expansion of 0 in y
1.395 * [taylor]: Taking taylor expansion of 0 in y
1.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
1.398 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0
1.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.398 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.398 * [taylor]: Taking taylor expansion of x in y
1.398 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.398 * [taylor]: Taking taylor expansion of 2 in y
1.398 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.398 * [taylor]: Taking taylor expansion of y in y
1.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.398 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.398 * [taylor]: Taking taylor expansion of x in x
1.398 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.398 * [taylor]: Taking taylor expansion of 2 in x
1.398 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.398 * [taylor]: Taking taylor expansion of y in x
1.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.398 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.398 * [taylor]: Taking taylor expansion of x in x
1.398 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.398 * [taylor]: Taking taylor expansion of 2 in x
1.398 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.398 * [taylor]: Taking taylor expansion of y in x
1.399 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.399 * [taylor]: Taking taylor expansion of 2 in y
1.399 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.399 * [taylor]: Taking taylor expansion of y in y
1.399 * [taylor]: Taking taylor expansion of 0 in y
1.401 * [taylor]: Taking taylor expansion of 1 in y
1.403 * [taylor]: Taking taylor expansion of 0 in y
1.406 * [taylor]: Taking taylor expansion of 0 in y
1.407 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.407 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.407 * [taylor]: Taking taylor expansion of x in y
1.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.407 * [taylor]: Taking taylor expansion of 2 in y
1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.407 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.407 * [taylor]: Taking taylor expansion of y in y
1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.408 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.408 * [taylor]: Taking taylor expansion of x in x
1.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.408 * [taylor]: Taking taylor expansion of 2 in x
1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.408 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.408 * [taylor]: Taking taylor expansion of y in x
1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.409 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.409 * [taylor]: Taking taylor expansion of x in x
1.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.409 * [taylor]: Taking taylor expansion of 2 in x
1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.409 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.409 * [taylor]: Taking taylor expansion of y in x
1.410 * [taylor]: Taking taylor expansion of 1 in y
1.411 * [taylor]: Taking taylor expansion of 0 in y
1.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.412 * [taylor]: Taking taylor expansion of 2 in y
1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.412 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.412 * [taylor]: Taking taylor expansion of y in y
1.415 * [taylor]: Taking taylor expansion of 0 in y
1.419 * [taylor]: Taking taylor expansion of 0 in y
1.421 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.421 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.421 * [taylor]: Taking taylor expansion of x in y
1.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.422 * [taylor]: Taking taylor expansion of 2 in y
1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.422 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.422 * [taylor]: Taking taylor expansion of y in y
1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.423 * [taylor]: Taking taylor expansion of x in x
1.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.423 * [taylor]: Taking taylor expansion of 2 in x
1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.423 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.423 * [taylor]: Taking taylor expansion of y in x
1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.423 * [taylor]: Taking taylor expansion of x in x
1.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.424 * [taylor]: Taking taylor expansion of 2 in x
1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.424 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.424 * [taylor]: Taking taylor expansion of y in x
1.425 * [taylor]: Taking taylor expansion of 1 in y
1.426 * [taylor]: Taking taylor expansion of 0 in y
1.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.427 * [taylor]: Taking taylor expansion of 2 in y
1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.427 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.427 * [taylor]: Taking taylor expansion of y in y
1.430 * [taylor]: Taking taylor expansion of 0 in y
1.434 * [taylor]: Taking taylor expansion of 0 in y
1.436 * * * [progress]: simplifying candidates
1.437 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log1p (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))))
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log1p (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))))
  (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (log1p (fma (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))))
  (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))))
  (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (expm1 (+ (+ (* x x) (* y y)) (* y y)))
  (log1p (+ (+ (* x x) (* y y)) (* 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))
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 3 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
1.437 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (log1p (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (expm1 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (log1p (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (expm1 (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (log1p (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (log (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (exp (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (* (cbrt (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1))) (cbrt (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1))))
 (cbrt (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (* (* (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)) (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1))) (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (sqrt (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (sqrt (fma (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* h1 h1)))
 (expm1 (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (log1p (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h1 h1)))
 (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h1 h1)))
 (log (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (exp (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (* (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h1 h1) 3))
 (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h1 h1) (* h1 h1)))
 (- (+ (* h0 h0) (* h1 h1)) (* h1 h1))
 (+ (* h1 h1) (* h1 h1))
 (* (sqrt 2) h1)
 h0
 (* -1 h0)
 (* (sqrt 2) h1)
 h0
 (* -1 h0)
 (+ (pow h0 2) (+ (pow h1 2) (* (pow (sqrt 2) 2) (pow h1 2))))
 (+ (pow h0 2) (* 3 (pow h1 2)))
 (+ (pow h0 2) (* 3 (pow h1 2)))
 (+ (pow h0 2) (* 2 (pow h1 2)))
 (+ (pow h0 2) (* 2 (pow h1 2)))
 (+ (pow h0 2) (* 2 (pow h1 2)))
1.442 * * [simplify]: iteration  0 :  175  enodes  (cost  645 )
1.447 * * [simplify]: iteration  1 :  742  enodes  (cost  534 )
1.462 * * [simplify]: iteration  2 :  3044  enodes  (cost  495 )
1.535 * * [simplify]: iteration  3 :  5001  enodes  (cost  493 )
1.537 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log1p (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))))
  (pow (hypot x (* (sqrt 2) y)) 3)
  (fabs (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)
  (hypot x (* (sqrt 2) y))
  (hypot (pow y 3) (pow (fma x x (* y y)) 3/2))
  (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))))
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log1p (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))))
  (pow (hypot x (* (sqrt 2) y)) 3)
  (fabs (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)
  (hypot x (* (sqrt 2) y))
  (hypot (pow y 3) (pow (fma x x (* y y)) 3/2))
  (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))))
  (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (fma x x (fma y y (* y y)))
  (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (exp (fma (pow y 2) 3 (pow x 2)))
  (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))))
  (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (pow (fma (pow y 2) 3 (pow x 2)) 3)
  (hypot y (hypot x (* (sqrt 2) y)))
  (hypot y (hypot x (* (sqrt 2) y)))
  (expm1 (+ (+ (* x x) (* y y)) (* y y)))
  (log1p (+ (+ (* x x) (* y y)) (* y y)))
  (exp (fma x x (fma y y (* y y))))
  (exp (fma x x (fma y y (* y y))))
  (log (+ (+ (* x x) (* y y)) (* y y)))
  (exp (fma x x (fma 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)))
  (pow (fma x x (fma y y (* y y))) 3)
  (hypot x (* (sqrt 2) y))
  (hypot x (* (sqrt 2) y))
  (fma y (pow y 5) (pow (fma x x (* y y)) 3))
  (fma (pow x 2) (fma x x (* y y)) (pow y 4))
  (* (pow x 2) (fma x x (fma y y (* y y))))
  (pow x 2)
  (fma y y (* y y))
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (fma (pow y 2) 3 (pow x 2))
  (fma (pow y 2) 3 (pow x 2))
  (fma (pow y 2) 3 (pow x 2))
  (fma x x (fma y y (* y y)))
  (fma x x (fma y y (* y y)))
  (fma x x (fma y y (* y y)))
1.538 * * * [progress]: adding candidates to table
1.796 * * [progress]: iteration 4 / 4
1.796 * * * [progress]: picking best candidate
1.812 * * * * [pick]: Picked  #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (* y y)))>
1.812 * * * [progress]: localizing error
1.828 * * * [progress]: generating rewritten candidates
1.828 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1.868 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
1.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2)
1.884 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2)
1.896 * * * [progress]: generating series expansions
1.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
1.897 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
1.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.897 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.897 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.897 * [taylor]: Taking taylor expansion of x in y
1.897 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.897 * [taylor]: Taking taylor expansion of 2 in y
1.897 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.897 * [taylor]: Taking taylor expansion of y in y
1.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.898 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.898 * [taylor]: Taking taylor expansion of x in x
1.898 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.898 * [taylor]: Taking taylor expansion of 2 in x
1.898 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.898 * [taylor]: Taking taylor expansion of y in x
1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.900 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.900 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.900 * [taylor]: Taking taylor expansion of x in x
1.900 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.900 * [taylor]: Taking taylor expansion of 2 in x
1.900 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.900 * [taylor]: Taking taylor expansion of y in x
1.905 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.905 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.905 * [taylor]: Taking taylor expansion of 2 in y
1.906 * [taylor]: Taking taylor expansion of y in y
1.907 * [taylor]: Taking taylor expansion of 0 in y
1.911 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
1.911 * [taylor]: Taking taylor expansion of 1/2 in y
1.911 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.911 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.911 * [taylor]: Taking taylor expansion of 2 in y
1.912 * [taylor]: Taking taylor expansion of y in y
1.921 * [taylor]: Taking taylor expansion of 0 in y
1.925 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.925 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.925 * [taylor]: Taking taylor expansion of x in y
1.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.925 * [taylor]: Taking taylor expansion of 2 in y
1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.925 * [taylor]: Taking taylor expansion of y in y
1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.929 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.929 * [taylor]: Taking taylor expansion of x in x
1.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.930 * [taylor]: Taking taylor expansion of 2 in x
1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.930 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.930 * [taylor]: Taking taylor expansion of y in x
1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.932 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.932 * [taylor]: Taking taylor expansion of x in x
1.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.933 * [taylor]: Taking taylor expansion of 2 in x
1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.933 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.933 * [taylor]: Taking taylor expansion of y in x
1.935 * [taylor]: Taking taylor expansion of 1 in y
1.935 * [taylor]: Taking taylor expansion of 0 in y
1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.938 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.938 * [taylor]: Taking taylor expansion of y in y
1.942 * [taylor]: Taking taylor expansion of 0 in y
1.943 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.944 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.944 * [taylor]: Taking taylor expansion of x in y
1.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.944 * [taylor]: Taking taylor expansion of 2 in y
1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.944 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.944 * [taylor]: Taking taylor expansion of y in y
1.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.947 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.947 * [taylor]: Taking taylor expansion of x in x
1.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.948 * [taylor]: Taking taylor expansion of 2 in x
1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.948 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.948 * [taylor]: Taking taylor expansion of y in x
1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.950 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.950 * [taylor]: Taking taylor expansion of x in x
1.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.951 * [taylor]: Taking taylor expansion of 2 in x
1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.951 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.951 * [taylor]: Taking taylor expansion of y in x
1.953 * [taylor]: Taking taylor expansion of 1 in y
1.953 * [taylor]: Taking taylor expansion of 0 in y
1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.956 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.956 * [taylor]: Taking taylor expansion of y in y
1.960 * [taylor]: Taking taylor expansion of 0 in y
1.961 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
1.962 * [approximate]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in (x y) around 0
1.962 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y
1.962 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))))
1.962 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y
1.962 * [taylor]: Taking taylor expansion of (* x x) in y
1.962 * [taylor]: Taking taylor expansion of x in y
1.962 * [taylor]: Taking taylor expansion of x in y
1.962 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y
1.962 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.962 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.962 * [taylor]: Taking taylor expansion of 2 in y
1.963 * [taylor]: Taking taylor expansion of y in y
1.963 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.963 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.963 * [taylor]: Taking taylor expansion of 2 in y
1.964 * [taylor]: Taking taylor expansion of y in y
1.968 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x
1.968 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))))
1.968 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x
1.968 * [taylor]: Taking taylor expansion of (* x x) in x
1.968 * [taylor]: Taking taylor expansion of x in x
1.968 * [taylor]: Taking taylor expansion of x in x
1.968 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x
1.968 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.968 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.968 * [taylor]: Taking taylor expansion of 2 in x
1.969 * [taylor]: Taking taylor expansion of y in x
1.969 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.969 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.969 * [taylor]: Taking taylor expansion of 2 in x
1.970 * [taylor]: Taking taylor expansion of y in x
1.975 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x
1.975 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))))
1.975 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x
1.975 * [taylor]: Taking taylor expansion of (* x x) in x
1.975 * [taylor]: Taking taylor expansion of x in x
1.975 * [taylor]: Taking taylor expansion of x in x
1.975 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x
1.975 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.975 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.975 * [taylor]: Taking taylor expansion of 2 in x
1.976 * [taylor]: Taking taylor expansion of y in x
1.976 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.976 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.976 * [taylor]: Taking taylor expansion of 2 in x
1.977 * [taylor]: Taking taylor expansion of y in x
1.983 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.983 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.983 * [taylor]: Taking taylor expansion of 2 in y
1.983 * [taylor]: Taking taylor expansion of y in y
1.984 * [taylor]: Taking taylor expansion of 0 in y
1.990 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
1.991 * [taylor]: Taking taylor expansion of 1/2 in y
1.991 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.991 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.991 * [taylor]: Taking taylor expansion of 2 in y
1.991 * [taylor]: Taking taylor expansion of y in y
2.003 * [taylor]: Taking taylor expansion of 0 in y
2.006 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in (x y) around 0
2.006 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y
2.006 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))))
2.006 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y
2.006 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.006 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.006 * [taylor]: Taking taylor expansion of x in y
2.006 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.006 * [taylor]: Taking taylor expansion of x in y
2.007 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y
2.007 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.007 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.007 * [taylor]: Taking taylor expansion of 2 in y
2.007 * [taylor]: Taking taylor expansion of y in y
2.008 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.008 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.008 * [taylor]: Taking taylor expansion of 2 in y
2.009 * [taylor]: Taking taylor expansion of y in y
2.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x
2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))))
2.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x
2.023 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.023 * [taylor]: Taking taylor expansion of x in x
2.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.024 * [taylor]: Taking taylor expansion of x in x
2.024 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x
2.024 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.024 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.024 * [taylor]: Taking taylor expansion of 2 in x
2.025 * [taylor]: Taking taylor expansion of y in x
2.025 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.025 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.025 * [taylor]: Taking taylor expansion of 2 in x
2.026 * [taylor]: Taking taylor expansion of y in x
2.029 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x
2.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))))
2.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x
2.029 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.029 * [taylor]: Taking taylor expansion of x in x
2.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.030 * [taylor]: Taking taylor expansion of x in x
2.030 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x
2.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.030 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.030 * [taylor]: Taking taylor expansion of 2 in x
2.031 * [taylor]: Taking taylor expansion of y in x
2.031 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.031 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.031 * [taylor]: Taking taylor expansion of 2 in x
2.032 * [taylor]: Taking taylor expansion of y in x
2.035 * [taylor]: Taking taylor expansion of 1 in y
2.035 * [taylor]: Taking taylor expansion of 0 in y
2.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y
2.040 * [taylor]: Taking taylor expansion of 1/2 in y
2.040 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y
2.040 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
2.040 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.040 * [taylor]: Taking taylor expansion of 2 in y
2.041 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.041 * [taylor]: Taking taylor expansion of y in y
2.050 * [taylor]: Taking taylor expansion of 0 in y
2.055 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in (x y) around 0
2.055 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y
2.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))))
2.055 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y
2.055 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.055 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.055 * [taylor]: Taking taylor expansion of -1 in y
2.055 * [taylor]: Taking taylor expansion of x in y
2.055 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.055 * [taylor]: Taking taylor expansion of -1 in y
2.055 * [taylor]: Taking taylor expansion of x in y
2.055 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y
2.055 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
2.055 * [taylor]: Taking taylor expansion of -1 in y
2.055 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.055 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.056 * [taylor]: Taking taylor expansion of 2 in y
2.056 * [taylor]: Taking taylor expansion of y in y
2.057 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
2.057 * [taylor]: Taking taylor expansion of -1 in y
2.057 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.057 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.057 * [taylor]: Taking taylor expansion of 2 in y
2.058 * [taylor]: Taking taylor expansion of y in y
2.067 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x
2.067 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))))
2.067 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x
2.068 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.068 * [taylor]: Taking taylor expansion of -1 in x
2.068 * [taylor]: Taking taylor expansion of x in x
2.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.068 * [taylor]: Taking taylor expansion of -1 in x
2.068 * [taylor]: Taking taylor expansion of x in x
2.068 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x
2.068 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
2.068 * [taylor]: Taking taylor expansion of -1 in x
2.068 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.068 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.068 * [taylor]: Taking taylor expansion of 2 in x
2.069 * [taylor]: Taking taylor expansion of y in x
2.070 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
2.070 * [taylor]: Taking taylor expansion of -1 in x
2.070 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.070 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.070 * [taylor]: Taking taylor expansion of 2 in x
2.070 * [taylor]: Taking taylor expansion of y in x
2.073 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x
2.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))))
2.074 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x
2.074 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.074 * [taylor]: Taking taylor expansion of -1 in x
2.074 * [taylor]: Taking taylor expansion of x in x
2.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.074 * [taylor]: Taking taylor expansion of -1 in x
2.074 * [taylor]: Taking taylor expansion of x in x
2.075 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x
2.075 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
2.075 * [taylor]: Taking taylor expansion of -1 in x
2.075 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.075 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.075 * [taylor]: Taking taylor expansion of 2 in x
2.075 * [taylor]: Taking taylor expansion of y in x
2.076 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
2.076 * [taylor]: Taking taylor expansion of -1 in x
2.076 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
2.076 * [taylor]: Taking taylor expansion of (sqrt 2) in x
2.076 * [taylor]: Taking taylor expansion of 2 in x
2.077 * [taylor]: Taking taylor expansion of y in x
2.080 * [taylor]: Taking taylor expansion of 1 in y
2.080 * [taylor]: Taking taylor expansion of 0 in y
2.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y
2.085 * [taylor]: Taking taylor expansion of 1/2 in y
2.085 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y
2.085 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
2.085 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.085 * [taylor]: Taking taylor expansion of 2 in y
2.086 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.086 * [taylor]: Taking taylor expansion of y in y
2.096 * [taylor]: Taking taylor expansion of 0 in y
2.100 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2)
2.101 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0
2.101 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
2.101 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.101 * [taylor]: Taking taylor expansion of 2 in y
2.101 * [taylor]: Taking taylor expansion of y in y
2.101 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
2.101 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.102 * [taylor]: Taking taylor expansion of 2 in y
2.102 * [taylor]: Taking taylor expansion of y in y
2.115 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0
2.115 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.115 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.116 * [taylor]: Taking taylor expansion of 2 in y
2.116 * [taylor]: Taking taylor expansion of y in y
2.117 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.117 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.117 * [taylor]: Taking taylor expansion of 2 in y
2.118 * [taylor]: Taking taylor expansion of y in y
2.136 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0
2.136 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
2.136 * [taylor]: Taking taylor expansion of -1 in y
2.136 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.136 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.136 * [taylor]: Taking taylor expansion of 2 in y
2.137 * [taylor]: Taking taylor expansion of y in y
2.137 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
2.137 * [taylor]: Taking taylor expansion of -1 in y
2.137 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.137 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.137 * [taylor]: Taking taylor expansion of 2 in y
2.138 * [taylor]: Taking taylor expansion of y in y
2.154 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2)
2.155 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0
2.155 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
2.155 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.155 * [taylor]: Taking taylor expansion of 2 in y
2.156 * [taylor]: Taking taylor expansion of y in y
2.156 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
2.156 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.156 * [taylor]: Taking taylor expansion of 2 in y
2.157 * [taylor]: Taking taylor expansion of y in y
2.169 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0
2.169 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.169 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.169 * [taylor]: Taking taylor expansion of 2 in y
2.169 * [taylor]: Taking taylor expansion of y in y
2.170 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.170 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.170 * [taylor]: Taking taylor expansion of 2 in y
2.171 * [taylor]: Taking taylor expansion of y in y
2.180 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0
2.180 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
2.180 * [taylor]: Taking taylor expansion of -1 in y
2.180 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.180 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.180 * [taylor]: Taking taylor expansion of 2 in y
2.181 * [taylor]: Taking taylor expansion of y in y
2.181 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
2.181 * [taylor]: Taking taylor expansion of -1 in y
2.181 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
2.181 * [taylor]: Taking taylor expansion of (sqrt 2) in y
2.181 * [taylor]: Taking taylor expansion of 2 in y
2.182 * [taylor]: Taking taylor expansion of y in y
2.198 * * * [progress]: simplifying candidates
2.199 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log1p (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))))
  (expm1 (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (log1p (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (log (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (exp (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (* (cbrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (cbrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))))
  (cbrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (* (* (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (sqrt (hypot x (* (sqrt 2) y)))
  (sqrt (hypot x (* (sqrt 2) y)))
  (/ (+ 1 1) 2)
  (/ 1 2)
  (/ 2 2)
  (/ (+ 1 1) 2)
  (/ 1 2)
  (/ (* 2 1) 2)
  (sqrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (sqrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))
  (expm1 (* (sqrt 2) y))
  (log1p (* (sqrt 2) y))
  (* (sqrt 2) y)
  (+ (log (sqrt 2)) (log y))
  (log (* (sqrt 2) y))
  (exp (* (sqrt 2) y))
  (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y))
  (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y)))
  (cbrt (* (sqrt 2) y))
  (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y))
  (sqrt (* (sqrt 2) y))
  (sqrt (* (sqrt 2) y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt 2) (* (cbrt y) (cbrt y)))
  (* (sqrt 2) (sqrt y))
  (* (sqrt 2) 1)
  (* (cbrt (sqrt 2)) y)
  (* (sqrt (cbrt 2)) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (expm1 (* (sqrt 2) y))
  (log1p (* (sqrt 2) y))
  (* (sqrt 2) y)
  (+ (log (sqrt 2)) (log y))
  (log (* (sqrt 2) y))
  (exp (* (sqrt 2) y))
  (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y))
  (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y)))
  (cbrt (* (sqrt 2) y))
  (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y))
  (sqrt (* (sqrt 2) y))
  (sqrt (* (sqrt 2) y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt 2) (* (cbrt y) (cbrt y)))
  (* (sqrt 2) (sqrt y))
  (* (sqrt 2) 1)
  (* (cbrt (sqrt 2)) y)
  (* (sqrt (cbrt 2)) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
2.199 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (log1p (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h0 h0) (* h1 h1)) (* h1 h1)))))
 (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))
 (expm1 (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (log1p (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (log (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (exp (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (* (cbrt (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1))))) (cbrt (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1))))))
 (cbrt (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (* (* (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))) (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1))))) (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (sqrt (hypot h0 (* (sqrt 2) h1)))
 (sqrt (hypot h0 (* (sqrt 2) h1)))
 (/ (+ 1 1) 2)
 (/ 1 2)
 (/ 2 2)
 (/ (+ 1 1) 2)
 (/ 1 2)
 (/ (* 2 1) 2)
 (sqrt (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (sqrt (sqrt (* (hypot h0 (* (sqrt 2) h1)) (hypot h0 (* (sqrt 2) h1)))))
 (expm1 (* (sqrt 2) h1))
 (log1p (* (sqrt 2) h1))
 (* (sqrt 2) h1)
 (+ (log (sqrt 2)) (log h1))
 (log (* (sqrt 2) h1))
 (exp (* (sqrt 2) h1))
 (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* h1 h1) h1))
 (* (cbrt (* (sqrt 2) h1)) (cbrt (* (sqrt 2) h1)))
 (cbrt (* (sqrt 2) h1))
 (* (* (* (sqrt 2) h1) (* (sqrt 2) h1)) (* (sqrt 2) h1))
 (sqrt (* (sqrt 2) h1))
 (sqrt (* (sqrt 2) h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt 2) (* (cbrt h1) (cbrt h1)))
 (* (sqrt 2) (sqrt h1))
 (* (sqrt 2) 1)
 (* (cbrt (sqrt 2)) h1)
 (* (sqrt (cbrt 2)) h1)
 (* (sqrt (sqrt 2)) h1)
 (* (sqrt 2) h1)
 (* (sqrt (sqrt 2)) h1)
 (* (sqrt 2) h1)
 (expm1 (* (sqrt 2) h1))
 (log1p (* (sqrt 2) h1))
 (* (sqrt 2) h1)
 (+ (log (sqrt 2)) (log h1))
 (log (* (sqrt 2) h1))
 (exp (* (sqrt 2) h1))
 (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* h1 h1) h1))
 (* (cbrt (* (sqrt 2) h1)) (cbrt (* (sqrt 2) h1)))
 (cbrt (* (sqrt 2) h1))
 (* (* (* (sqrt 2) h1) (* (sqrt 2) h1)) (* (sqrt 2) h1))
 (sqrt (* (sqrt 2) h1))
 (sqrt (* (sqrt 2) h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt (sqrt 2)) (sqrt h1))
 (* (sqrt 2) (* (cbrt h1) (cbrt h1)))
 (* (sqrt 2) (sqrt h1))
 (* (sqrt 2) 1)
 (* (cbrt (sqrt 2)) h1)
 (* (sqrt (cbrt 2)) h1)
 (* (sqrt (sqrt 2)) h1)
 (* (sqrt 2) h1)
 (* (sqrt (sqrt 2)) h1)
 (* (sqrt 2) h1)
 (* (sqrt 2) h1)
 h0
 (* -1 h0)
 (* (sqrt 2) h1)
 h0
 (* -1 h0)
 (* (sqrt 2) h1)
 (* (sqrt 2) h1)
 (* (sqrt 2) h1)
 (* (sqrt 2) h1)
 (* (sqrt 2) h1)
 (* (sqrt 2) h1)
2.205 * * [simplify]: iteration  0 :  174  enodes  (cost  443 )
2.211 * * [simplify]: iteration  1 :  572  enodes  (cost  420 )
2.233 * * [simplify]: iteration  2 :  3320  enodes  (cost  376 )
2.324 * * [simplify]: iteration  3 :  5001  enodes  (cost  376 )
2.327 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log1p (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))))
  (pow (hypot x (* (sqrt 2) y)) 3)
  (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))
  (sqrt (hypot x (* (sqrt 2) y)))
  (sqrt (hypot x (* (sqrt 2) y)))
  1
  (hypot x (* (sqrt 2) y))
  (hypot (pow y 3) (pow (fma x x (* y y)) 3/2))
  (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 (hypot x (* (sqrt 2) y)))
  (sqrt (hypot x (* (sqrt 2) y)))
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log1p (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))))
  (pow (hypot x (* (sqrt 2) y)) 3)
  (sqrt (hypot x (* (sqrt 2) y)))
  (sqrt (hypot x (* (sqrt 2) y)))
  1
  1/2
  1
  1
  1/2
  1
  (sqrt (hypot x (* (sqrt 2) y)))
  (sqrt (hypot x (* (sqrt 2) y)))
  (expm1 (* (sqrt 2) y))
  (log1p (* (sqrt 2) y))
  (* (sqrt 2) y)
  (log (* (sqrt 2) y))
  (log (* (sqrt 2) y))
  (exp (* (sqrt 2) y))
  (pow (* (sqrt 2) y) 3)
  (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y)))
  (cbrt (* (sqrt 2) y))
  (pow (* (sqrt 2) y) 3)
  (sqrt (* (sqrt 2) y))
  (sqrt (* (sqrt 2) y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt 2) (* (cbrt y) (cbrt y)))
  (* (sqrt 2) (sqrt y))
  (sqrt 2)
  (* (cbrt (sqrt 2)) y)
  (* (sqrt (cbrt 2)) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (expm1 (* (sqrt 2) y))
  (log1p (* (sqrt 2) y))
  (* (sqrt 2) y)
  (log (* (sqrt 2) y))
  (log (* (sqrt 2) y))
  (exp (* (sqrt 2) y))
  (pow (* (sqrt 2) y) 3)
  (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y)))
  (cbrt (* (sqrt 2) y))
  (pow (* (sqrt 2) y) 3)
  (sqrt (* (sqrt 2) y))
  (sqrt (* (sqrt 2) y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt (sqrt 2)) (sqrt y))
  (* (sqrt 2) (* (cbrt y) (cbrt y)))
  (* (sqrt 2) (sqrt y))
  (sqrt 2)
  (* (cbrt (sqrt 2)) y)
  (* (sqrt (cbrt 2)) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (* (sqrt (sqrt 2)) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
2.327 * * * [progress]: adding candidates to table
2.660 * [progress]: [Phase 3 of 3] Extracting.
2.661 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (+ (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* y y)) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) y))) (hypot x (* (sqrt 2) y)))) (* y y)))>)
2.663 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x)
2.663 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (+ (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* y y)) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) y))) (hypot x (* (sqrt 2) y)))) (* y y)))>)
2.693 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (+ (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* y y)) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) y))) (hypot x (* (sqrt 2) y)))) (* y y)))>)
2.718 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (#<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (+ (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* y y)) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) y))) (hypot x (* (sqrt 2) y)))) (* y y)))>)
2.750 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (+ (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* y y)) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) y))) (hypot x (* (sqrt 2) y)))) (* y y)))>)
2.775 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (+ (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* y y)) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (hypot x (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) y))) (hypot x (* (sqrt 2) y)))) (* y y)))>)
2.806 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
2.807 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (fma 3 (* y y) (* x x))
2.807 * [simplify]: Sending expressions to egg_math:
 (fma 3 (* h0 h0) (* h1 h1))
2.807 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
2.808 * [simplify]: Simplified to:
   (fma 3 (* y y) (* x x))
3.705 * [regime-testing]: Baseline error score: 0.13051631453931742
3.705 * [regime-testing]: Oracle error score: 0.02212776597074634
3.707 * [regime-testing]: End program error score: 0.13051631453931742
3.725 * [regime-testing]: Target error score: 0.11863982997874735