19.115 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.020 * [progress]: [Phase 2 of 3] Improving.
0.020 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
0.022 * * [simplify]: iteration  0 :  14  enodes  (cost  6 )
0.024 * * [simplify]: iteration  1 :  29  enodes  (cost  4 )
0.025 * * [simplify]: iteration  2 :  50  enodes  (cost  4 )
0.027 * * [simplify]: iteration  3 :  70  enodes  (cost  3 )
0.028 * * [simplify]: iteration  4 :  82  enodes  (cost  3 )
0.030 * * [simplify]: iteration  5 :  125  enodes  (cost  3 )
0.032 * * [simplify]: iteration  6 :  229  enodes  (cost  3 )
0.035 * * [simplify]: iteration  7 :  321  enodes  (cost  3 )
0.037 * * [simplify]: iteration  8 :  336  enodes  (cost  3 )
0.040 * * [simplify]: iteration  9 :  436  enodes  (cost  3 )
0.046 * * [simplify]: iteration  10 :  790  enodes  (cost  3 )
0.073 * * [simplify]: iteration  11 :  3492  enodes  (cost  3 )
0.299 * * [simplify]: iteration  12 :  5001  enodes  (cost  3 )
0.300 * [simplify]: Simplified to:
   (fma 3 (* y y) (* x x))
0.303 * * [progress]: iteration 1 / 4
0.303 * * * [progress]: picking best candidate
0.305 * * * * [pick]: Picked  #<alt (λ (x y) (fma 3 (* y y) (* x x)))>
0.305 * * * [progress]: localizing error
0.311 * * * [progress]: generating rewritten candidates
0.311 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.312 * * * [progress]: generating series expansions
0.312 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.312 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0
0.312 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x
0.312 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2))
0.312 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.312 * [taylor]: Taking taylor expansion of 3 in x
0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.312 * [taylor]: Taking taylor expansion of y in x
0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.312 * [taylor]: Taking taylor expansion of x in x
0.312 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y
0.313 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2))
0.313 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.313 * [taylor]: Taking taylor expansion of 3 in y
0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.313 * [taylor]: Taking taylor expansion of y in y
0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.313 * [taylor]: Taking taylor expansion of x in y
0.313 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y
0.313 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2))
0.313 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.313 * [taylor]: Taking taylor expansion of 3 in y
0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.313 * [taylor]: Taking taylor expansion of y in y
0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.313 * [taylor]: Taking taylor expansion of x in y
0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.313 * [taylor]: Taking taylor expansion of x in x
0.314 * [taylor]: Taking taylor expansion of 0 in x
0.315 * [taylor]: Taking taylor expansion of 3 in x
0.317 * [taylor]: Taking taylor expansion of 0 in x
0.319 * [taylor]: Taking taylor expansion of 0 in x
0.319 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0
0.319 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.319 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.319 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.319 * [taylor]: Taking taylor expansion of 3 in x
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.319 * [taylor]: Taking taylor expansion of y in x
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.320 * [taylor]: Taking taylor expansion of x in x
0.320 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.320 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.320 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.320 * [taylor]: Taking taylor expansion of 3 in y
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.320 * [taylor]: Taking taylor expansion of y in y
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.321 * [taylor]: Taking taylor expansion of x in y
0.321 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.321 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.321 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.321 * [taylor]: Taking taylor expansion of 3 in y
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.321 * [taylor]: Taking taylor expansion of y in y
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.322 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.322 * [taylor]: Taking taylor expansion of x in y
0.322 * [taylor]: Taking taylor expansion of 3 in x
0.324 * [taylor]: Taking taylor expansion of 0 in x
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.325 * [taylor]: Taking taylor expansion of x in x
0.328 * [taylor]: Taking taylor expansion of 0 in x
0.331 * [taylor]: Taking taylor expansion of 0 in x
0.333 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0
0.333 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.333 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.333 * [taylor]: Taking taylor expansion of 3 in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.333 * [taylor]: Taking taylor expansion of y in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.334 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.334 * [taylor]: Taking taylor expansion of 3 in y
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.334 * [taylor]: Taking taylor expansion of y in y
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.334 * [taylor]: Taking taylor expansion of x in y
0.334 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.334 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.334 * [taylor]: Taking taylor expansion of 3 in y
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.334 * [taylor]: Taking taylor expansion of y in y
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.335 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.335 * [taylor]: Taking taylor expansion of x in y
0.336 * [taylor]: Taking taylor expansion of 3 in x
0.337 * [taylor]: Taking taylor expansion of 0 in x
0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.339 * [taylor]: Taking taylor expansion of x in x
0.341 * [taylor]: Taking taylor expansion of 0 in x
0.345 * [taylor]: Taking taylor expansion of 0 in x
0.346 * * * [progress]: simplifying candidates
0.346 * [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)))
0.350 * * [simplify]: iteration  0 :  33  enodes  (cost  59 )
0.352 * * [simplify]: iteration  1 :  84  enodes  (cost  52 )
0.354 * * [simplify]: iteration  2 :  267  enodes  (cost  52 )
0.360 * * [simplify]: iteration  3 :  1089  enodes  (cost  52 )
0.399 * * [simplify]: iteration  4 :  5002  enodes  (cost  52 )
0.400 * [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))
0.400 * * * [progress]: adding candidates to table
0.426 * * [progress]: iteration 2 / 4
0.426 * * * [progress]: picking best candidate
0.431 * * * * [pick]: Picked  #<alt (λ (x y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))>
0.431 * * * [progress]: localizing error
0.438 * * * [progress]: generating rewritten candidates
0.438 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.446 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.450 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.456 * * * [progress]: generating series expansions
0.456 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.457 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0
0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y
0.457 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.457 * [taylor]: Taking taylor expansion of x in y
0.457 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.457 * [taylor]: Taking taylor expansion of 3 in y
0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.457 * [taylor]: Taking taylor expansion of y in y
0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.457 * [taylor]: Taking taylor expansion of 3 in x
0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.457 * [taylor]: Taking taylor expansion of y in x
0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x
0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x
0.457 * [taylor]: Taking taylor expansion of 3 in x
0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.457 * [taylor]: Taking taylor expansion of y in x
0.457 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
0.457 * [taylor]: Taking taylor expansion of 3 in y
0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.457 * [taylor]: Taking taylor expansion of y in y
0.458 * [taylor]: Taking taylor expansion of 0 in y
0.459 * [taylor]: Taking taylor expansion of 1 in y
0.462 * [taylor]: Taking taylor expansion of 0 in y
0.465 * [taylor]: Taking taylor expansion of 0 in y
0.466 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.466 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.466 * [taylor]: Taking taylor expansion of x in y
0.466 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.466 * [taylor]: Taking taylor expansion of 3 in y
0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.466 * [taylor]: Taking taylor expansion of y in y
0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.466 * [taylor]: Taking taylor expansion of x in x
0.467 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.467 * [taylor]: Taking taylor expansion of 3 in x
0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.467 * [taylor]: Taking taylor expansion of y in x
0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.467 * [taylor]: Taking taylor expansion of x in x
0.468 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.468 * [taylor]: Taking taylor expansion of 3 in x
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.468 * [taylor]: Taking taylor expansion of y in x
0.468 * [taylor]: Taking taylor expansion of 1 in y
0.469 * [taylor]: Taking taylor expansion of 0 in y
0.470 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.470 * [taylor]: Taking taylor expansion of 3 in y
0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.470 * [taylor]: Taking taylor expansion of y in y
0.473 * [taylor]: Taking taylor expansion of 0 in y
0.476 * [taylor]: Taking taylor expansion of 0 in y
0.479 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0
0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.479 * [taylor]: Taking taylor expansion of x in y
0.479 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.479 * [taylor]: Taking taylor expansion of 3 in y
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.479 * [taylor]: Taking taylor expansion of y in y
0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.479 * [taylor]: Taking taylor expansion of x in x
0.480 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.480 * [taylor]: Taking taylor expansion of 3 in x
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.480 * [taylor]: Taking taylor expansion of y in x
0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.480 * [taylor]: Taking taylor expansion of x in x
0.481 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x
0.481 * [taylor]: Taking taylor expansion of 3 in x
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.481 * [taylor]: Taking taylor expansion of y in x
0.481 * [taylor]: Taking taylor expansion of 1 in y
0.482 * [taylor]: Taking taylor expansion of 0 in y
0.487 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
0.487 * [taylor]: Taking taylor expansion of 3 in y
0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.487 * [taylor]: Taking taylor expansion of y in y
0.489 * [taylor]: Taking taylor expansion of 0 in y
0.493 * [taylor]: Taking taylor expansion of 0 in y
0.495 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.495 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.495 * [taylor]: Taking taylor expansion of x in y
0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.495 * [taylor]: Taking taylor expansion of y in y
0.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.495 * [taylor]: Taking taylor expansion of x in x
0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.495 * [taylor]: Taking taylor expansion of y in x
0.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.496 * [taylor]: Taking taylor expansion of x in x
0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.496 * [taylor]: Taking taylor expansion of y in x
0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.496 * [taylor]: Taking taylor expansion of y in y
0.496 * [taylor]: Taking taylor expansion of 0 in y
0.497 * [taylor]: Taking taylor expansion of 1 in y
0.498 * [taylor]: Taking taylor expansion of 0 in y
0.500 * [taylor]: Taking taylor expansion of 0 in y
0.500 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.500 * [taylor]: Taking taylor expansion of x in y
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.501 * [taylor]: Taking taylor expansion of y in y
0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.501 * [taylor]: Taking taylor expansion of x in x
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.502 * [taylor]: Taking taylor expansion of y in x
0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.502 * [taylor]: Taking taylor expansion of x in x
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.502 * [taylor]: Taking taylor expansion of y in x
0.503 * [taylor]: Taking taylor expansion of 1 in y
0.504 * [taylor]: Taking taylor expansion of 0 in y
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.505 * [taylor]: Taking taylor expansion of y in y
0.507 * [taylor]: Taking taylor expansion of 0 in y
0.510 * [taylor]: Taking taylor expansion of 0 in y
0.511 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.511 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.511 * [taylor]: Taking taylor expansion of x in y
0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.511 * [taylor]: Taking taylor expansion of y in y
0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.512 * [taylor]: Taking taylor expansion of x in x
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.512 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.513 * [taylor]: Taking taylor expansion of y in x
0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.513 * [taylor]: Taking taylor expansion of x in x
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.513 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.513 * [taylor]: Taking taylor expansion of y in x
0.514 * [taylor]: Taking taylor expansion of 1 in y
0.515 * [taylor]: Taking taylor expansion of 0 in y
0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.516 * [taylor]: Taking taylor expansion of y in y
0.518 * [taylor]: Taking taylor expansion of 0 in y
0.521 * [taylor]: Taking taylor expansion of 0 in y
0.522 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.522 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0
0.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
0.522 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.522 * [taylor]: Taking taylor expansion of x in y
0.522 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.522 * [taylor]: Taking taylor expansion of 2 in y
0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.522 * [taylor]: Taking taylor expansion of y in y
0.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.522 * [taylor]: Taking taylor expansion of x in x
0.522 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.522 * [taylor]: Taking taylor expansion of 2 in x
0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.522 * [taylor]: Taking taylor expansion of y in x
0.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.522 * [taylor]: Taking taylor expansion of x in x
0.522 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.522 * [taylor]: Taking taylor expansion of 2 in x
0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.522 * [taylor]: Taking taylor expansion of y in x
0.523 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.523 * [taylor]: Taking taylor expansion of 2 in y
0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.523 * [taylor]: Taking taylor expansion of y in y
0.523 * [taylor]: Taking taylor expansion of 0 in y
0.525 * [taylor]: Taking taylor expansion of 1 in y
0.527 * [taylor]: Taking taylor expansion of 0 in y
0.530 * [taylor]: Taking taylor expansion of 0 in y
0.531 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.531 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.531 * [taylor]: Taking taylor expansion of x in y
0.531 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.531 * [taylor]: Taking taylor expansion of 2 in y
0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.531 * [taylor]: Taking taylor expansion of y in y
0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.532 * [taylor]: Taking taylor expansion of x in x
0.533 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.533 * [taylor]: Taking taylor expansion of 2 in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.533 * [taylor]: Taking taylor expansion of y in x
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.533 * [taylor]: Taking taylor expansion of 2 in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.533 * [taylor]: Taking taylor expansion of y in x
0.534 * [taylor]: Taking taylor expansion of 1 in y
0.535 * [taylor]: Taking taylor expansion of 0 in y
0.536 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.536 * [taylor]: Taking taylor expansion of 2 in y
0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.536 * [taylor]: Taking taylor expansion of y in y
0.539 * [taylor]: Taking taylor expansion of 0 in y
0.542 * [taylor]: Taking taylor expansion of 0 in y
0.544 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0
0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.544 * [taylor]: Taking taylor expansion of x in y
0.544 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.544 * [taylor]: Taking taylor expansion of 2 in y
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.544 * [taylor]: Taking taylor expansion of y in y
0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.545 * [taylor]: Taking taylor expansion of x in x
0.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.546 * [taylor]: Taking taylor expansion of 2 in x
0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.546 * [taylor]: Taking taylor expansion of y in x
0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.546 * [taylor]: Taking taylor expansion of x in x
0.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.546 * [taylor]: Taking taylor expansion of 2 in x
0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.546 * [taylor]: Taking taylor expansion of y in x
0.547 * [taylor]: Taking taylor expansion of 1 in y
0.548 * [taylor]: Taking taylor expansion of 0 in y
0.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.549 * [taylor]: Taking taylor expansion of 2 in y
0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.549 * [taylor]: Taking taylor expansion of y in y
0.552 * [taylor]: Taking taylor expansion of 0 in y
0.555 * [taylor]: Taking taylor expansion of 0 in y
0.557 * * * [progress]: simplifying candidates
0.558 * [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)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (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) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
  (+ (pow x 2) (* 2 (pow y 2)))
0.562 * * [simplify]: iteration  0 :  237  enodes  (cost  373 )
0.568 * * [simplify]: iteration  1 :  1141  enodes  (cost  313 )
0.588 * * [simplify]: iteration  2 :  4748  enodes  (cost  287 )
0.689 * * [simplify]: iteration  3 :  5001  enodes  (cost  286 )
0.691 * [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))
  (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y))))
  (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y)))))
  (fma x x (* y y))
  (fma y y (* y y))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  (fma (* (pow y 4) y) y (pow x 6))
  (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4))
  (fma (- (pow y 3)) y (pow x 4))
  (- (* x x) (* 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 (* (pow y 4) y) y (pow (fma x x (* y y)) 3))
  (+ (* (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 (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (fma y y (* y y)))
  (fma x x (fma y y (* y y)))
  (fma x x (fma y y (* y y)))
0.691 * * * [progress]: adding candidates to table
0.813 * * [progress]: iteration 3 / 4
0.813 * * * [progress]: picking best candidate
0.831 * * * * [pick]: Picked  #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))>
0.831 * * * [progress]: localizing error
0.840 * * * [progress]: generating rewritten candidates
0.840 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.846 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.851 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.851 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
0.856 * * * [progress]: generating series expansions
0.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.857 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
0.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
0.857 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.857 * [taylor]: Taking taylor expansion of x in y
0.857 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.857 * [taylor]: Taking taylor expansion of 2 in y
0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.857 * [taylor]: Taking taylor expansion of y in y
0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.857 * [taylor]: Taking taylor expansion of x in x
0.857 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.857 * [taylor]: Taking taylor expansion of 2 in x
0.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.858 * [taylor]: Taking taylor expansion of y in x
0.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.859 * [taylor]: Taking taylor expansion of x in x
0.859 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.859 * [taylor]: Taking taylor expansion of 2 in x
0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.859 * [taylor]: Taking taylor expansion of y in x
0.860 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
0.860 * [taylor]: Taking taylor expansion of (sqrt 2) in y
0.860 * [taylor]: Taking taylor expansion of 2 in y
0.860 * [taylor]: Taking taylor expansion of y in y
0.861 * [taylor]: Taking taylor expansion of 0 in y
0.864 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
0.864 * [taylor]: Taking taylor expansion of 1/2 in y
0.864 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
0.864 * [taylor]: Taking taylor expansion of (sqrt 2) in y
0.864 * [taylor]: Taking taylor expansion of 2 in y
0.865 * [taylor]: Taking taylor expansion of y in y
0.877 * [taylor]: Taking taylor expansion of 0 in y
0.880 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.880 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.880 * [taylor]: Taking taylor expansion of x in y
0.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.880 * [taylor]: Taking taylor expansion of 2 in y
0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.880 * [taylor]: Taking taylor expansion of y in y
0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.883 * [taylor]: Taking taylor expansion of x in x
0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.884 * [taylor]: Taking taylor expansion of 2 in x
0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.884 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.884 * [taylor]: Taking taylor expansion of y in x
0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.886 * [taylor]: Taking taylor expansion of x in x
0.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.886 * [taylor]: Taking taylor expansion of 2 in x
0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.886 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.886 * [taylor]: Taking taylor expansion of y in x
0.888 * [taylor]: Taking taylor expansion of 1 in y
0.888 * [taylor]: Taking taylor expansion of 0 in y
0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.891 * [taylor]: Taking taylor expansion of y in y
0.894 * [taylor]: Taking taylor expansion of 0 in y
0.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
0.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.895 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.895 * [taylor]: Taking taylor expansion of x in y
0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.896 * [taylor]: Taking taylor expansion of 2 in y
0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.896 * [taylor]: Taking taylor expansion of y in y
0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.899 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.899 * [taylor]: Taking taylor expansion of x in x
0.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.899 * [taylor]: Taking taylor expansion of 2 in x
0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.899 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.899 * [taylor]: Taking taylor expansion of y in x
0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.901 * [taylor]: Taking taylor expansion of x in x
0.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.902 * [taylor]: Taking taylor expansion of 2 in x
0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.902 * [taylor]: Taking taylor expansion of y in x
0.904 * [taylor]: Taking taylor expansion of 1 in y
0.904 * [taylor]: Taking taylor expansion of 0 in y
0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.906 * [taylor]: Taking taylor expansion of y in y
0.910 * [taylor]: Taking taylor expansion of 0 in y
0.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.911 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
0.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
0.911 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.911 * [taylor]: Taking taylor expansion of x in y
0.911 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.911 * [taylor]: Taking taylor expansion of 2 in y
0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.911 * [taylor]: Taking taylor expansion of y in y
0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.912 * [taylor]: Taking taylor expansion of x in x
0.912 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.912 * [taylor]: Taking taylor expansion of 2 in x
0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.912 * [taylor]: Taking taylor expansion of y in x
0.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.913 * [taylor]: Taking taylor expansion of x in x
0.913 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.913 * [taylor]: Taking taylor expansion of 2 in x
0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.913 * [taylor]: Taking taylor expansion of y in x
0.914 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
0.914 * [taylor]: Taking taylor expansion of (sqrt 2) in y
0.914 * [taylor]: Taking taylor expansion of 2 in y
0.914 * [taylor]: Taking taylor expansion of y in y
0.915 * [taylor]: Taking taylor expansion of 0 in y
0.918 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
0.918 * [taylor]: Taking taylor expansion of 1/2 in y
0.918 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
0.918 * [taylor]: Taking taylor expansion of (sqrt 2) in y
0.918 * [taylor]: Taking taylor expansion of 2 in y
0.919 * [taylor]: Taking taylor expansion of y in y
0.926 * [taylor]: Taking taylor expansion of 0 in y
0.929 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
0.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.929 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.929 * [taylor]: Taking taylor expansion of x in y
0.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.929 * [taylor]: Taking taylor expansion of 2 in y
0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.929 * [taylor]: Taking taylor expansion of y in y
0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.932 * [taylor]: Taking taylor expansion of x in x
0.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.933 * [taylor]: Taking taylor expansion of 2 in x
0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.933 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.933 * [taylor]: Taking taylor expansion of y in x
0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.935 * [taylor]: Taking taylor expansion of x in x
0.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.936 * [taylor]: Taking taylor expansion of 2 in x
0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.936 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.936 * [taylor]: Taking taylor expansion of y in x
0.938 * [taylor]: Taking taylor expansion of 1 in y
0.938 * [taylor]: Taking taylor expansion of 0 in y
0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.941 * [taylor]: Taking taylor expansion of y in y
0.944 * [taylor]: Taking taylor expansion of 0 in y
0.946 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.946 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.946 * [taylor]: Taking taylor expansion of x in y
0.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.946 * [taylor]: Taking taylor expansion of 2 in y
0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.946 * [taylor]: Taking taylor expansion of y in y
0.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.949 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.949 * [taylor]: Taking taylor expansion of x in x
0.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.950 * [taylor]: Taking taylor expansion of 2 in x
0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.950 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.950 * [taylor]: Taking taylor expansion of y in x
0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.952 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.952 * [taylor]: Taking taylor expansion of x in x
0.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
0.952 * [taylor]: Taking taylor expansion of 2 in x
0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.952 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.952 * [taylor]: Taking taylor expansion of y in x
0.954 * [taylor]: Taking taylor expansion of 1 in y
0.955 * [taylor]: Taking taylor expansion of 0 in y
0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.963 * [taylor]: Taking taylor expansion of y in y
0.967 * [taylor]: Taking taylor expansion of 0 in y
0.968 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.968 * [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
0.968 * [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
0.968 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
0.968 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y
0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
0.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
0.968 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.968 * [taylor]: Taking taylor expansion of x in y
0.968 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.968 * [taylor]: Taking taylor expansion of 2 in y
0.968 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.969 * [taylor]: Taking taylor expansion of y in y
0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
0.969 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.969 * [taylor]: Taking taylor expansion of x in y
0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
0.969 * [taylor]: Taking taylor expansion of 2 in y
0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.969 * [taylor]: Taking taylor expansion of y in y
0.970 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.970 * [taylor]: Taking taylor expansion of y in y
0.970 * [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
0.970 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
0.970 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x
0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.970 * [taylor]: Taking taylor expansion of x in x
0.970 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.970 * [taylor]: Taking taylor expansion of 2 in x
0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.970 * [taylor]: Taking taylor expansion of y in x
0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.971 * [taylor]: Taking taylor expansion of x in x
0.971 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.971 * [taylor]: Taking taylor expansion of 2 in x
0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.971 * [taylor]: Taking taylor expansion of y in x
0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.972 * [taylor]: Taking taylor expansion of y in x
0.972 * [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
0.972 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
0.972 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x
0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.972 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.972 * [taylor]: Taking taylor expansion of x in x
0.972 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.972 * [taylor]: Taking taylor expansion of 2 in x
0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.972 * [taylor]: Taking taylor expansion of y in x
0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
0.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
0.973 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.973 * [taylor]: Taking taylor expansion of x in x
0.973 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
0.973 * [taylor]: Taking taylor expansion of 2 in x
0.973 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.973 * [taylor]: Taking taylor expansion of y in x
0.974 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.974 * [taylor]: Taking taylor expansion of y in x
0.976 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y
0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.976 * [taylor]: Taking taylor expansion of y in y
0.976 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y
0.976 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
0.976 * [taylor]: Taking taylor expansion of (sqrt 2) in y
0.976 * [taylor]: Taking taylor expansion of 2 in y
0.977 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.977 * [taylor]: Taking taylor expansion of y in y
0.977 * [taylor]: Taking taylor expansion of 0 in y
0.983 * [taylor]: Taking taylor expansion of 1 in y
0.995 * [taylor]: Taking taylor expansion of 0 in y
1.009 * [taylor]: Taking taylor expansion of 0 in y
1.010 * [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
1.010 * [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
1.011 * [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)))
1.011 * [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
1.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.011 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.011 * [taylor]: Taking taylor expansion of x in y
1.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.011 * [taylor]: Taking taylor expansion of 2 in y
1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.011 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.011 * [taylor]: Taking taylor expansion of y in y
1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.014 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.014 * [taylor]: Taking taylor expansion of x in y
1.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.014 * [taylor]: Taking taylor expansion of 2 in y
1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.014 * [taylor]: Taking taylor expansion of y in y
1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.017 * [taylor]: Taking taylor expansion of y in y
1.018 * [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
1.018 * [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)))
1.018 * [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
1.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.018 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.018 * [taylor]: Taking taylor expansion of x in x
1.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.019 * [taylor]: Taking taylor expansion of 2 in x
1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.019 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.019 * [taylor]: Taking taylor expansion of y in x
1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.021 * [taylor]: Taking taylor expansion of x in x
1.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.021 * [taylor]: Taking taylor expansion of 2 in x
1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.021 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.021 * [taylor]: Taking taylor expansion of y in x
1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.024 * [taylor]: Taking taylor expansion of y in x
1.024 * [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
1.024 * [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)))
1.024 * [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
1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.024 * [taylor]: Taking taylor expansion of x in x
1.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.024 * [taylor]: Taking taylor expansion of 2 in x
1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.024 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.024 * [taylor]: Taking taylor expansion of y in x
1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.027 * [taylor]: Taking taylor expansion of x in x
1.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.027 * [taylor]: Taking taylor expansion of 2 in x
1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.027 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.027 * [taylor]: Taking taylor expansion of y in x
1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.029 * [taylor]: Taking taylor expansion of y in x
1.030 * [taylor]: Taking taylor expansion of 1 in y
1.031 * [taylor]: Taking taylor expansion of 0 in y
1.035 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.035 * [taylor]: Taking taylor expansion of 3 in y
1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.035 * [taylor]: Taking taylor expansion of y in y
1.042 * [taylor]: Taking taylor expansion of 0 in y
1.058 * [taylor]: Taking taylor expansion of 0 in y
1.060 * [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
1.060 * [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
1.060 * [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)))
1.060 * [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
1.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.061 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.061 * [taylor]: Taking taylor expansion of x in y
1.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.061 * [taylor]: Taking taylor expansion of 2 in y
1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.061 * [taylor]: Taking taylor expansion of y in y
1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.064 * [taylor]: Taking taylor expansion of x in y
1.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.064 * [taylor]: Taking taylor expansion of 2 in y
1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.064 * [taylor]: Taking taylor expansion of y in y
1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.067 * [taylor]: Taking taylor expansion of y in y
1.068 * [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
1.068 * [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)))
1.068 * [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
1.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.068 * [taylor]: Taking taylor expansion of x in x
1.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.069 * [taylor]: Taking taylor expansion of 2 in x
1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.069 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.069 * [taylor]: Taking taylor expansion of y in x
1.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.071 * [taylor]: Taking taylor expansion of x in x
1.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.071 * [taylor]: Taking taylor expansion of 2 in x
1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.071 * [taylor]: Taking taylor expansion of y in x
1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.074 * [taylor]: Taking taylor expansion of y in x
1.074 * [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
1.074 * [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)))
1.074 * [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
1.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.074 * [taylor]: Taking taylor expansion of x in x
1.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.075 * [taylor]: Taking taylor expansion of 2 in x
1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.075 * [taylor]: Taking taylor expansion of y in x
1.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.077 * [taylor]: Taking taylor expansion of x in x
1.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.077 * [taylor]: Taking taylor expansion of 2 in x
1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.077 * [taylor]: Taking taylor expansion of y in x
1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.080 * [taylor]: Taking taylor expansion of y in x
1.080 * [taylor]: Taking taylor expansion of 1 in y
1.081 * [taylor]: Taking taylor expansion of 0 in y
1.086 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
1.086 * [taylor]: Taking taylor expansion of 3 in y
1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.086 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.086 * [taylor]: Taking taylor expansion of y in y
1.093 * [taylor]: Taking taylor expansion of 0 in y
1.102 * [taylor]: Taking taylor expansion of 0 in y
1.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.104 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
1.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.104 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.104 * [taylor]: Taking taylor expansion of x in y
1.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.104 * [taylor]: Taking taylor expansion of y in y
1.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.105 * [taylor]: Taking taylor expansion of x in x
1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.105 * [taylor]: Taking taylor expansion of y in x
1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.105 * [taylor]: Taking taylor expansion of x in x
1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.105 * [taylor]: Taking taylor expansion of y in x
1.105 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.105 * [taylor]: Taking taylor expansion of y in y
1.105 * [taylor]: Taking taylor expansion of 0 in y
1.106 * [taylor]: Taking taylor expansion of 1 in y
1.107 * [taylor]: Taking taylor expansion of 0 in y
1.109 * [taylor]: Taking taylor expansion of 0 in y
1.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.110 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.110 * [taylor]: Taking taylor expansion of x in y
1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.110 * [taylor]: Taking taylor expansion of y in y
1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.111 * [taylor]: Taking taylor expansion of x in x
1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.111 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.111 * [taylor]: Taking taylor expansion of y in x
1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.112 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.112 * [taylor]: Taking taylor expansion of x in x
1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.112 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.112 * [taylor]: Taking taylor expansion of y in x
1.113 * [taylor]: Taking taylor expansion of 1 in y
1.114 * [taylor]: Taking taylor expansion of 0 in y
1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.115 * [taylor]: Taking taylor expansion of y in y
1.117 * [taylor]: Taking taylor expansion of 0 in y
1.120 * [taylor]: Taking taylor expansion of 0 in y
1.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.121 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.121 * [taylor]: Taking taylor expansion of x in y
1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.122 * [taylor]: Taking taylor expansion of y in y
1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.122 * [taylor]: Taking taylor expansion of x in x
1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.123 * [taylor]: Taking taylor expansion of y in x
1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.123 * [taylor]: Taking taylor expansion of x in x
1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.123 * [taylor]: Taking taylor expansion of y in x
1.124 * [taylor]: Taking taylor expansion of 1 in y
1.125 * [taylor]: Taking taylor expansion of 0 in y
1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.126 * [taylor]: Taking taylor expansion of y in y
1.128 * [taylor]: Taking taylor expansion of 0 in y
1.131 * [taylor]: Taking taylor expansion of 0 in y
1.133 * * * [progress]: simplifying candidates
1.134 * [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)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (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) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
1.139 * * [simplify]: iteration  0 :  200  enodes  (cost  583 )
1.145 * * [simplify]: iteration  1 :  838  enodes  (cost  494 )
1.157 * * [simplify]: iteration  2 :  2618  enodes  (cost  468 )
1.212 * * [simplify]: iteration  3 :  5003  enodes  (cost  442 )
1.215 * [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))))
  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)))))
  (fabs (* x (hypot x (* (sqrt 2) y))))
  (fabs x)
  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))))
  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)))))
  (fabs (* x (hypot x (* (sqrt 2) y))))
  (fabs x)
  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 y y (fma x x (* 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)))
  (log1p (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  (fma (* (pow y 4) y) y (pow x 6))
  (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4))
  (fma (- (pow y 3)) y (pow x 4))
  (- (* x x) (* 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 (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
1.215 * * * [progress]: adding candidates to table
1.415 * * [progress]: iteration 4 / 4
1.415 * * * [progress]: picking best candidate
1.426 * * * * [pick]: Picked  #<alt (λ (x y) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))>
1.426 * * * [progress]: localizing error
1.445 * * * [progress]: generating rewritten candidates
1.445 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2)
1.454 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.455 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
1.460 * * * [progress]: generating series expansions
1.460 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.460 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0
1.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.460 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.460 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.460 * [taylor]: Taking taylor expansion of x in y
1.460 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.460 * [taylor]: Taking taylor expansion of 2 in y
1.460 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.460 * [taylor]: Taking taylor expansion of y in y
1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.461 * [taylor]: Taking taylor expansion of x in x
1.461 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.461 * [taylor]: Taking taylor expansion of 2 in x
1.461 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.461 * [taylor]: Taking taylor expansion of y in x
1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.462 * [taylor]: Taking taylor expansion of x in x
1.462 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.462 * [taylor]: Taking taylor expansion of 2 in x
1.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.462 * [taylor]: Taking taylor expansion of y in x
1.463 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.463 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.464 * [taylor]: Taking taylor expansion of 2 in y
1.464 * [taylor]: Taking taylor expansion of y in y
1.465 * [taylor]: Taking taylor expansion of 0 in y
1.469 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y
1.469 * [taylor]: Taking taylor expansion of 1/2 in y
1.469 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.469 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.469 * [taylor]: Taking taylor expansion of 2 in y
1.469 * [taylor]: Taking taylor expansion of y in y
1.477 * [taylor]: Taking taylor expansion of 0 in y
1.480 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.480 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.480 * [taylor]: Taking taylor expansion of x in y
1.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.480 * [taylor]: Taking taylor expansion of 2 in y
1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.480 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.480 * [taylor]: Taking taylor expansion of y in y
1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.484 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.484 * [taylor]: Taking taylor expansion of x in x
1.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.484 * [taylor]: Taking taylor expansion of 2 in x
1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.484 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.484 * [taylor]: Taking taylor expansion of y in x
1.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.486 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.486 * [taylor]: Taking taylor expansion of x in x
1.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.487 * [taylor]: Taking taylor expansion of 2 in x
1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.487 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.487 * [taylor]: Taking taylor expansion of y in x
1.489 * [taylor]: Taking taylor expansion of 1 in y
1.489 * [taylor]: Taking taylor expansion of 0 in y
1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.491 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.491 * [taylor]: Taking taylor expansion of y in y
1.494 * [taylor]: Taking taylor expansion of 0 in y
1.496 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0
1.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.496 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.496 * [taylor]: Taking taylor expansion of x in y
1.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.496 * [taylor]: Taking taylor expansion of 2 in y
1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.496 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.496 * [taylor]: Taking taylor expansion of y in y
1.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.499 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.499 * [taylor]: Taking taylor expansion of x in x
1.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.500 * [taylor]: Taking taylor expansion of 2 in x
1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.500 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.500 * [taylor]: Taking taylor expansion of y in x
1.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.502 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.502 * [taylor]: Taking taylor expansion of x in x
1.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.502 * [taylor]: Taking taylor expansion of 2 in x
1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.502 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.502 * [taylor]: Taking taylor expansion of y in x
1.504 * [taylor]: Taking taylor expansion of 1 in y
1.504 * [taylor]: Taking taylor expansion of 0 in y
1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.506 * [taylor]: Taking taylor expansion of y in y
1.510 * [taylor]: Taking taylor expansion of 0 in y
1.511 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2)
1.511 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0
1.511 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.511 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.511 * [taylor]: Taking taylor expansion of 2 in y
1.512 * [taylor]: Taking taylor expansion of y in y
1.512 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.512 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.512 * [taylor]: Taking taylor expansion of 2 in y
1.513 * [taylor]: Taking taylor expansion of y in y
1.524 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0
1.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.524 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.524 * [taylor]: Taking taylor expansion of 2 in y
1.525 * [taylor]: Taking taylor expansion of y in y
1.526 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.526 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.526 * [taylor]: Taking taylor expansion of 2 in y
1.526 * [taylor]: Taking taylor expansion of y in y
1.540 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0
1.541 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
1.541 * [taylor]: Taking taylor expansion of -1 in y
1.541 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.541 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.541 * [taylor]: Taking taylor expansion of 2 in y
1.541 * [taylor]: Taking taylor expansion of y in y
1.542 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
1.542 * [taylor]: Taking taylor expansion of -1 in y
1.542 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.542 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.542 * [taylor]: Taking taylor expansion of 2 in y
1.543 * [taylor]: Taking taylor expansion of y in y
1.556 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.557 * [approximate]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0
1.557 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y
1.557 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
1.557 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y
1.557 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y
1.557 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))))
1.557 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y
1.557 * [taylor]: Taking taylor expansion of (* x x) in y
1.557 * [taylor]: Taking taylor expansion of x in y
1.557 * [taylor]: Taking taylor expansion of x in y
1.557 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y
1.557 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.557 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.557 * [taylor]: Taking taylor expansion of 2 in y
1.558 * [taylor]: Taking taylor expansion of y in y
1.558 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y
1.558 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.558 * [taylor]: Taking taylor expansion of 2 in y
1.558 * [taylor]: Taking taylor expansion of y in y
1.563 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y
1.563 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y
1.563 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.563 * [taylor]: Taking taylor expansion of x in y
1.563 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y
1.563 * [taylor]: Taking taylor expansion of 2 in y
1.563 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.563 * [taylor]: Taking taylor expansion of y in y
1.564 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.564 * [taylor]: Taking taylor expansion of y in y
1.564 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x
1.564 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
1.564 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x
1.564 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x
1.564 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))))
1.564 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x
1.564 * [taylor]: Taking taylor expansion of (* x x) in x
1.564 * [taylor]: Taking taylor expansion of x in x
1.564 * [taylor]: Taking taylor expansion of x in x
1.564 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x
1.564 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.564 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.564 * [taylor]: Taking taylor expansion of 2 in x
1.565 * [taylor]: Taking taylor expansion of y in x
1.565 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.565 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.565 * [taylor]: Taking taylor expansion of 2 in x
1.566 * [taylor]: Taking taylor expansion of y in x
1.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.571 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.571 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.571 * [taylor]: Taking taylor expansion of x in x
1.571 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.571 * [taylor]: Taking taylor expansion of 2 in x
1.571 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.571 * [taylor]: Taking taylor expansion of y in x
1.572 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.572 * [taylor]: Taking taylor expansion of y in x
1.572 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x
1.572 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2))
1.572 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x
1.572 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x
1.572 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))))
1.572 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x
1.572 * [taylor]: Taking taylor expansion of (* x x) in x
1.572 * [taylor]: Taking taylor expansion of x in x
1.572 * [taylor]: Taking taylor expansion of x in x
1.572 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x
1.572 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.572 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.572 * [taylor]: Taking taylor expansion of 2 in x
1.573 * [taylor]: Taking taylor expansion of y in x
1.573 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x
1.573 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.573 * [taylor]: Taking taylor expansion of 2 in x
1.574 * [taylor]: Taking taylor expansion of y in x
1.579 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x
1.579 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x
1.579 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.579 * [taylor]: Taking taylor expansion of x in x
1.579 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x
1.579 * [taylor]: Taking taylor expansion of 2 in x
1.579 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.579 * [taylor]: Taking taylor expansion of y in x
1.580 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.580 * [taylor]: Taking taylor expansion of y in x
1.581 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y
1.581 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.581 * [taylor]: Taking taylor expansion of y in y
1.581 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y
1.581 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
1.581 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.581 * [taylor]: Taking taylor expansion of 2 in y
1.582 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.582 * [taylor]: Taking taylor expansion of y in y
1.583 * [taylor]: Taking taylor expansion of 0 in y
1.591 * [taylor]: Taking taylor expansion of 1 in y
1.605 * [taylor]: Taking taylor expansion of 0 in y
1.628 * [taylor]: Taking taylor expansion of 0 in y
1.629 * [approximate]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0
1.629 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y
1.630 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.630 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y
1.630 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y
1.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))))
1.630 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y
1.630 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.630 * [taylor]: Taking taylor expansion of x in y
1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.630 * [taylor]: Taking taylor expansion of x in y
1.630 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y
1.630 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.630 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.630 * [taylor]: Taking taylor expansion of 2 in y
1.631 * [taylor]: Taking taylor expansion of y in y
1.631 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.631 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.631 * [taylor]: Taking taylor expansion of 2 in y
1.632 * [taylor]: Taking taylor expansion of y in y
1.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.637 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.637 * [taylor]: Taking taylor expansion of x in y
1.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.637 * [taylor]: Taking taylor expansion of 2 in y
1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.638 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.638 * [taylor]: Taking taylor expansion of y in y
1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.641 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.641 * [taylor]: Taking taylor expansion of y in y
1.641 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.641 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.641 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.641 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x
1.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))))
1.641 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x
1.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.641 * [taylor]: Taking taylor expansion of x in x
1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.642 * [taylor]: Taking taylor expansion of x in x
1.642 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x
1.642 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.642 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.642 * [taylor]: Taking taylor expansion of 2 in x
1.643 * [taylor]: Taking taylor expansion of y in x
1.643 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.643 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.643 * [taylor]: Taking taylor expansion of 2 in x
1.644 * [taylor]: Taking taylor expansion of y in x
1.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.646 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.646 * [taylor]: Taking taylor expansion of x in x
1.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.647 * [taylor]: Taking taylor expansion of 2 in x
1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.647 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.647 * [taylor]: Taking taylor expansion of y in x
1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.649 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.649 * [taylor]: Taking taylor expansion of y in x
1.649 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.649 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.649 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.649 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x
1.649 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))))
1.649 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x
1.649 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
1.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.650 * [taylor]: Taking taylor expansion of x in x
1.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.650 * [taylor]: Taking taylor expansion of x in x
1.650 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x
1.650 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.650 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.650 * [taylor]: Taking taylor expansion of 2 in x
1.651 * [taylor]: Taking taylor expansion of y in x
1.651 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.651 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.651 * [taylor]: Taking taylor expansion of 2 in x
1.652 * [taylor]: Taking taylor expansion of y in x
1.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.655 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.655 * [taylor]: Taking taylor expansion of x in x
1.655 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.655 * [taylor]: Taking taylor expansion of 2 in x
1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.655 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.655 * [taylor]: Taking taylor expansion of y in x
1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.657 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.657 * [taylor]: Taking taylor expansion of y in x
1.658 * [taylor]: Taking taylor expansion of 1 in y
1.659 * [taylor]: Taking taylor expansion of 0 in y
1.667 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y
1.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y
1.667 * [taylor]: Taking taylor expansion of 1/2 in y
1.667 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y
1.667 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
1.667 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.667 * [taylor]: Taking taylor expansion of 2 in y
1.668 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.668 * [taylor]: Taking taylor expansion of y in y
1.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.670 * [taylor]: Taking taylor expansion of 2 in y
1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.670 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.670 * [taylor]: Taking taylor expansion of y in y
1.682 * [taylor]: Taking taylor expansion of 0 in y
1.699 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y
1.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y
1.699 * [taylor]: Taking taylor expansion of 1/2 in y
1.699 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y
1.699 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
1.699 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.699 * [taylor]: Taking taylor expansion of 2 in y
1.700 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.700 * [taylor]: Taking taylor expansion of y in y
1.702 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y
1.702 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y
1.702 * [taylor]: Taking taylor expansion of 1/8 in y
1.702 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y
1.702 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y
1.702 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.702 * [taylor]: Taking taylor expansion of 2 in y
1.703 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.703 * [taylor]: Taking taylor expansion of y in y
1.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y
1.707 * [taylor]: Taking taylor expansion of 1/2 in y
1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.707 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.707 * [taylor]: Taking taylor expansion of y in y
1.736 * [approximate]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0
1.736 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y
1.737 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.737 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y
1.737 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y
1.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))))
1.737 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y
1.737 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
1.737 * [taylor]: Taking taylor expansion of (/ -1 x) in y
1.737 * [taylor]: Taking taylor expansion of -1 in y
1.737 * [taylor]: Taking taylor expansion of x in y
1.737 * [taylor]: Taking taylor expansion of (/ -1 x) in y
1.737 * [taylor]: Taking taylor expansion of -1 in y
1.737 * [taylor]: Taking taylor expansion of x in y
1.737 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y
1.737 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
1.737 * [taylor]: Taking taylor expansion of -1 in y
1.737 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.737 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.737 * [taylor]: Taking taylor expansion of 2 in y
1.738 * [taylor]: Taking taylor expansion of y in y
1.739 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y
1.739 * [taylor]: Taking taylor expansion of -1 in y
1.739 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y
1.739 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.739 * [taylor]: Taking taylor expansion of 2 in y
1.739 * [taylor]: Taking taylor expansion of y in y
1.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y
1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y
1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.748 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.748 * [taylor]: Taking taylor expansion of x in y
1.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.748 * [taylor]: Taking taylor expansion of 2 in y
1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.748 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.748 * [taylor]: Taking taylor expansion of y in y
1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.751 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.751 * [taylor]: Taking taylor expansion of y in y
1.751 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.752 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.752 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.752 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x
1.752 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))))
1.752 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x
1.752 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
1.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.752 * [taylor]: Taking taylor expansion of -1 in x
1.752 * [taylor]: Taking taylor expansion of x in x
1.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.752 * [taylor]: Taking taylor expansion of -1 in x
1.752 * [taylor]: Taking taylor expansion of x in x
1.752 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x
1.752 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
1.752 * [taylor]: Taking taylor expansion of -1 in x
1.752 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.753 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.753 * [taylor]: Taking taylor expansion of 2 in x
1.753 * [taylor]: Taking taylor expansion of y in x
1.753 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
1.753 * [taylor]: Taking taylor expansion of -1 in x
1.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.754 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.754 * [taylor]: Taking taylor expansion of 2 in x
1.754 * [taylor]: Taking taylor expansion of y in x
1.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.757 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.757 * [taylor]: Taking taylor expansion of x in x
1.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.758 * [taylor]: Taking taylor expansion of 2 in x
1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.758 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.758 * [taylor]: Taking taylor expansion of y in x
1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.760 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.760 * [taylor]: Taking taylor expansion of y in x
1.760 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x
1.760 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
1.760 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x
1.760 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x
1.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))))
1.760 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x
1.760 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
1.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.760 * [taylor]: Taking taylor expansion of -1 in x
1.760 * [taylor]: Taking taylor expansion of x in x
1.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.760 * [taylor]: Taking taylor expansion of -1 in x
1.761 * [taylor]: Taking taylor expansion of x in x
1.761 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x
1.761 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
1.761 * [taylor]: Taking taylor expansion of -1 in x
1.761 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.761 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.761 * [taylor]: Taking taylor expansion of 2 in x
1.762 * [taylor]: Taking taylor expansion of y in x
1.762 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x
1.762 * [taylor]: Taking taylor expansion of -1 in x
1.762 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x
1.762 * [taylor]: Taking taylor expansion of (sqrt 2) in x
1.762 * [taylor]: Taking taylor expansion of 2 in x
1.763 * [taylor]: Taking taylor expansion of y in x
1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x
1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x
1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.766 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.766 * [taylor]: Taking taylor expansion of x in x
1.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x
1.766 * [taylor]: Taking taylor expansion of 2 in x
1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.766 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.766 * [taylor]: Taking taylor expansion of y in x
1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.768 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.768 * [taylor]: Taking taylor expansion of y in x
1.769 * [taylor]: Taking taylor expansion of 1 in y
1.770 * [taylor]: Taking taylor expansion of 0 in y
1.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y
1.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y
1.778 * [taylor]: Taking taylor expansion of 1/2 in y
1.778 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y
1.778 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
1.778 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.778 * [taylor]: Taking taylor expansion of 2 in y
1.779 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.779 * [taylor]: Taking taylor expansion of y in y
1.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.781 * [taylor]: Taking taylor expansion of 2 in y
1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.781 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.781 * [taylor]: Taking taylor expansion of y in y
1.795 * [taylor]: Taking taylor expansion of 0 in y
1.820 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y
1.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y
1.821 * [taylor]: Taking taylor expansion of 1/2 in y
1.821 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y
1.821 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y
1.821 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.821 * [taylor]: Taking taylor expansion of 2 in y
1.821 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.821 * [taylor]: Taking taylor expansion of y in y
1.823 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y
1.824 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y
1.824 * [taylor]: Taking taylor expansion of 1/8 in y
1.824 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y
1.824 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y
1.824 * [taylor]: Taking taylor expansion of (sqrt 2) in y
1.824 * [taylor]: Taking taylor expansion of 2 in y
1.824 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.824 * [taylor]: Taking taylor expansion of y in y
1.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y
1.828 * [taylor]: Taking taylor expansion of 1/2 in y
1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.828 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.828 * [taylor]: Taking taylor expansion of y in y
1.851 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.851 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
1.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.851 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.851 * [taylor]: Taking taylor expansion of x in y
1.851 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.851 * [taylor]: Taking taylor expansion of y in y
1.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.851 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.851 * [taylor]: Taking taylor expansion of x in x
1.851 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.851 * [taylor]: Taking taylor expansion of y in x
1.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.851 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.851 * [taylor]: Taking taylor expansion of x in x
1.851 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.851 * [taylor]: Taking taylor expansion of y in x
1.852 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.852 * [taylor]: Taking taylor expansion of y in y
1.852 * [taylor]: Taking taylor expansion of 0 in y
1.853 * [taylor]: Taking taylor expansion of 1 in y
1.854 * [taylor]: Taking taylor expansion of 0 in y
1.856 * [taylor]: Taking taylor expansion of 0 in y
1.856 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.857 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.857 * [taylor]: Taking taylor expansion of x in y
1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.857 * [taylor]: Taking taylor expansion of y in y
1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.857 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.857 * [taylor]: Taking taylor expansion of x in x
1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.858 * [taylor]: Taking taylor expansion of y in x
1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.858 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.858 * [taylor]: Taking taylor expansion of x in x
1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.858 * [taylor]: Taking taylor expansion of y in x
1.859 * [taylor]: Taking taylor expansion of 1 in y
1.860 * [taylor]: Taking taylor expansion of 0 in y
1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.861 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.861 * [taylor]: Taking taylor expansion of y in y
1.863 * [taylor]: Taking taylor expansion of 0 in y
1.866 * [taylor]: Taking taylor expansion of 0 in y
1.867 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.868 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.868 * [taylor]: Taking taylor expansion of x in y
1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.868 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.868 * [taylor]: Taking taylor expansion of y in y
1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.868 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.868 * [taylor]: Taking taylor expansion of x in x
1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.869 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.869 * [taylor]: Taking taylor expansion of y in x
1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.869 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.869 * [taylor]: Taking taylor expansion of x in x
1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.869 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.869 * [taylor]: Taking taylor expansion of y in x
1.870 * [taylor]: Taking taylor expansion of 1 in y
1.871 * [taylor]: Taking taylor expansion of 0 in y
1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.872 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.872 * [taylor]: Taking taylor expansion of y in y
1.874 * [taylor]: Taking taylor expansion of 0 in y
1.877 * [taylor]: Taking taylor expansion of 0 in y
1.878 * * * [progress]: simplifying candidates
1.879 * [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 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 (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (log1p (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (* (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
  (log (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (exp (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (* (cbrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))))
  (cbrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (* (* (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (sqrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (sqrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))))
  (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2)))))
  (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2)))))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
1.885 * * [simplify]: iteration  0 :  272  enodes  (cost  502 )
1.891 * * [simplify]: iteration  1 :  1176  enodes  (cost  449 )
1.916 * * [simplify]: iteration  2 :  5001  enodes  (cost  430 )
1.918 * [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 (hypot x (* (sqrt 2) 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 (sqrt (+ (+ (* x x) (* y y)) (* y 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))))
  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 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 (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (log1p (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (fma y y (fma x x (* y y)))
  (log (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (* (pow (exp (hypot x (* (sqrt 2) y))) (hypot x (* (sqrt 2) y))) (exp (pow y 2)))
  (* (cbrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))))
  (cbrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (pow (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (pow y 2)) 3)
  (sqrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (sqrt (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  (fma (pow y 4) (pow y 2) (pow x 6))
  (fma (pow y 2) (- (pow y 2) (pow x 2)) (pow x 4))
  (fma (- (pow y 3)) y (pow x 4))
  (- (* x x) (* y y))
  (* (sqrt 2) y)
  x
  (* -1 x)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (* (sqrt 2) y)
  (fma x x (* 3 (pow y 2)))
  (fma x x (* 3 (pow y 2)))
  (fma x x (* 3 (pow y 2)))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
1.919 * * * [progress]: adding candidates to table
2.163 * [progress]: [Phase 3 of 3] Extracting.
2.163 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma (* 1 (hypot x (* (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* y y))) (* y y)))> #<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (fma (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (* (hypot x y) (hypot x y)) (* y y))) (* y y)))>)
2.165 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x)
2.165 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (fma (* 1 (hypot x (* (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* y y))) (* y y)))> #<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (fma (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (* (hypot x y) (hypot x y)) (* y y))) (* y y)))>)
2.188 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (fma (* 1 (hypot x (* (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* y y))) (* y y)))> #<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (fma (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (* (hypot x y) (hypot x y)) (* y y))) (* y y)))>)
2.213 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma (* 1 (hypot x (* (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* y y))) (* y y)))> #<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (fma (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (* (hypot x y) (hypot x y)) (* y y))) (* y y)))>)
2.237 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma (* 1 (hypot x (* (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))> #<alt (λ (x y) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* y y))) (* y y)))> #<alt (λ (x y) (fma 3 (* y y) (* x x)))> #<alt (λ (x y) (fma (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))> #<alt (λ (x y) (fma (* 1 (hypot x (* (sqrt 2) y))) (sqrt (+ (* (hypot x y) (hypot x y)) (* y y))) (* y y)))>)
2.264 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
2.265 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (fma 3 (* y y) (* x x))
2.265 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
2.265 * [simplify]: Simplified to:
   (fma 3 (* y y) (* x x))
3.050 * [regime-testing]: Baseline error score: 0.12764095511938992
3.050 * [regime-testing]: Oracle error score: 0.023627953494186775
3.051 * [regime-testing]: End program error score: 0.12764095511938992
3.068 * [regime-testing]: Target error score: 0.11603574509331696