31.202 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.024 * * * [progress]: [2/2] Setting up program.
0.028 * [progress]: [Phase 2 of 3] Improving.
0.029 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.029 * * [simplify]: iteration 0: 5 enodes
0.030 * * [simplify]: iteration 1: 6 enodes
0.031 * * [simplify]: iteration complete: 6 enodes
0.032 * * [simplify]: Extracting #0: cost 1 inf + 0
0.032 * * [simplify]: Extracting #1: cost 3 inf + 0
0.032 * * [simplify]: Extracting #2: cost 5 inf + 0
0.032 * * [simplify]: Extracting #3: cost 2 inf + 43
0.032 * * [simplify]: Extracting #4: cost 0 inf + 206
0.032 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.032 * * [progress]: iteration 1 / 4
0.032 * * * [progress]: picking best candidate
0.036 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.037 * * * [progress]: localizing error
0.046 * * * [progress]: generating rewritten candidates
0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.055 * * * [progress]: generating series expansions
0.055 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.055 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.055 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.055 * [taylor]: Taking taylor expansion of y in y
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.055 * [taylor]: Taking taylor expansion of x in y
0.055 * [backup-simplify]: Simplify x into x
0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.055 * [backup-simplify]: Simplify y into y
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.055 * [backup-simplify]: Simplify y into y
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.056 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.056 * [taylor]: Taking taylor expansion of y in y
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [taylor]: Taking taylor expansion of 0 in y
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.057 * [backup-simplify]: Simplify (* 1 1) into 1
0.057 * [backup-simplify]: Simplify (+ 0 1) into 1
0.057 * [taylor]: Taking taylor expansion of 1 in y
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (* 1 1) into 1
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [taylor]: Taking taylor expansion of 0 in y
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.062 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.063 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.063 * [taylor]: Taking taylor expansion of y in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.063 * [backup-simplify]: Simplify (* 1 1) into 1
0.063 * [backup-simplify]: Simplify (/ 1 1) into 1
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.063 * [taylor]: Taking taylor expansion of x in y
0.063 * [backup-simplify]: Simplify x into x
0.063 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.064 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.064 * [taylor]: Taking taylor expansion of y in x
0.064 * [backup-simplify]: Simplify y into y
0.064 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (* 1 1) into 1
0.065 * [backup-simplify]: Simplify (/ 1 1) into 1
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.065 * [backup-simplify]: Simplify y into y
0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [backup-simplify]: Simplify (* 1 1) into 1
0.065 * [backup-simplify]: Simplify (/ 1 1) into 1
0.066 * [backup-simplify]: Simplify (+ 0 1) into 1
0.066 * [taylor]: Taking taylor expansion of 1 in y
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.069 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [taylor]: Taking taylor expansion of 0 in y
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.078 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (/ 1 1) into 1
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.078 * [taylor]: Taking taylor expansion of x in y
0.079 * [backup-simplify]: Simplify x into x
0.079 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.079 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.079 * [taylor]: Taking taylor expansion of y in x
0.079 * [backup-simplify]: Simplify y into y
0.079 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.079 * [taylor]: Taking taylor expansion of x in x
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (* 1 1) into 1
0.080 * [backup-simplify]: Simplify (/ 1 1) into 1
0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [backup-simplify]: Simplify y into y
0.080 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* 1 1) into 1
0.081 * [backup-simplify]: Simplify (/ 1 1) into 1
0.081 * [backup-simplify]: Simplify (+ 0 1) into 1
0.081 * [taylor]: Taking taylor expansion of 1 in y
0.081 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.084 * [taylor]: Taking taylor expansion of y in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.093 * * * [progress]: simplifying candidates
0.093 * [simplify]: Simplifying:
  (* (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))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
0.094 * * [simplify]: iteration 0: 30 enodes
0.103 * * [simplify]: iteration 1: 100 enodes
0.146 * * [simplify]: iteration 2: 342 enodes
0.282 * * [simplify]: iteration 3: 1477 enodes
1.124 * * [simplify]: iteration complete: 5000 enodes
1.124 * * [simplify]: Extracting #0: cost 11 inf + 0
1.124 * * [simplify]: Extracting #1: cost 214 inf + 0
1.128 * * [simplify]: Extracting #2: cost 1361 inf + 1
1.137 * * [simplify]: Extracting #3: cost 1890 inf + 14317
1.170 * * [simplify]: Extracting #4: cost 806 inf + 183298
1.242 * * [simplify]: Extracting #5: cost 108 inf + 334399
1.306 * * [simplify]: Extracting #6: cost 14 inf + 347583
1.377 * * [simplify]: Extracting #7: cost 0 inf + 351605
1.461 * [simplify]: Simplified to:
  (exp (+ (* y y) (* x x)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* y y) (* x x)))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (* (* y (* y y)) (* y (* y y))) (* (* x (* x x)) (* x (* x x))))
  (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ x y) (- x y))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
1.462 * * * [progress]: adding candidates to table
1.515 * * [progress]: iteration 2 / 4
1.515 * * * [progress]: picking best candidate
1.521 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
1.521 * * * [progress]: localizing error
1.548 * * * [progress]: generating rewritten candidates
1.548 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.557 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.566 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
1.575 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
1.582 * * * [progress]: generating series expansions
1.582 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.582 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.582 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.582 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 1 into 1
1.582 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.582 * [taylor]: Taking taylor expansion of x in y
1.582 * [backup-simplify]: Simplify x into x
1.582 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.582 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.583 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.583 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.583 * [backup-simplify]: Simplify (+ 0 0) into 0
1.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.583 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.583 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.583 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.583 * [taylor]: Taking taylor expansion of y in x
1.583 * [backup-simplify]: Simplify y into y
1.583 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.583 * [taylor]: Taking taylor expansion of x in x
1.583 * [backup-simplify]: Simplify 0 into 0
1.583 * [backup-simplify]: Simplify 1 into 1
1.583 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.583 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.584 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.584 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.584 * [backup-simplify]: Simplify (+ 0 0) into 0
1.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.584 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.584 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.584 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.584 * [taylor]: Taking taylor expansion of y in x
1.584 * [backup-simplify]: Simplify y into y
1.584 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.584 * [taylor]: Taking taylor expansion of x in x
1.584 * [backup-simplify]: Simplify 0 into 0
1.584 * [backup-simplify]: Simplify 1 into 1
1.584 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.584 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.584 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.584 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.585 * [backup-simplify]: Simplify (+ 0 0) into 0
1.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.585 * [taylor]: Taking taylor expansion of y in y
1.585 * [backup-simplify]: Simplify 0 into 0
1.585 * [backup-simplify]: Simplify 1 into 1
1.585 * [backup-simplify]: Simplify 0 into 0
1.585 * [taylor]: Taking taylor expansion of 0 in y
1.585 * [backup-simplify]: Simplify 0 into 0
1.585 * [backup-simplify]: Simplify 0 into 0
1.585 * [backup-simplify]: Simplify 1 into 1
1.585 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.585 * [backup-simplify]: Simplify (* 1 1) into 1
1.586 * [backup-simplify]: Simplify (+ 0 1) into 1
1.586 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.586 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.586 * [taylor]: Taking taylor expansion of 1/2 in y
1.586 * [backup-simplify]: Simplify 1/2 into 1/2
1.586 * [taylor]: Taking taylor expansion of y in y
1.586 * [backup-simplify]: Simplify 0 into 0
1.586 * [backup-simplify]: Simplify 1 into 1
1.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.587 * [backup-simplify]: Simplify 0 into 0
1.587 * [backup-simplify]: Simplify 0 into 0
1.587 * [backup-simplify]: Simplify 0 into 0
1.588 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.588 * [backup-simplify]: Simplify (+ 0 0) into 0
1.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.588 * [taylor]: Taking taylor expansion of 0 in y
1.588 * [backup-simplify]: Simplify 0 into 0
1.588 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.589 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.589 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.589 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.589 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.589 * [taylor]: Taking taylor expansion of y in y
1.589 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify 1 into 1
1.589 * [backup-simplify]: Simplify (* 1 1) into 1
1.590 * [backup-simplify]: Simplify (/ 1 1) into 1
1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.590 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.590 * [taylor]: Taking taylor expansion of x in y
1.590 * [backup-simplify]: Simplify x into x
1.590 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.590 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.590 * [backup-simplify]: Simplify (+ 1 0) into 1
1.590 * [backup-simplify]: Simplify (sqrt 1) into 1
1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.591 * [backup-simplify]: Simplify (+ 0 0) into 0
1.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.592 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.592 * [taylor]: Taking taylor expansion of y in x
1.592 * [backup-simplify]: Simplify y into y
1.592 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.592 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.592 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.592 * [taylor]: Taking taylor expansion of x in x
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 1 into 1
1.592 * [backup-simplify]: Simplify (* 1 1) into 1
1.593 * [backup-simplify]: Simplify (/ 1 1) into 1
1.593 * [backup-simplify]: Simplify (+ 0 1) into 1
1.593 * [backup-simplify]: Simplify (sqrt 1) into 1
1.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.594 * [backup-simplify]: Simplify (+ 0 0) into 0
1.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.594 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.595 * [taylor]: Taking taylor expansion of y in x
1.595 * [backup-simplify]: Simplify y into y
1.595 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.595 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.595 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.595 * [taylor]: Taking taylor expansion of x in x
1.595 * [backup-simplify]: Simplify 0 into 0
1.595 * [backup-simplify]: Simplify 1 into 1
1.595 * [backup-simplify]: Simplify (* 1 1) into 1
1.595 * [backup-simplify]: Simplify (/ 1 1) into 1
1.595 * [backup-simplify]: Simplify (+ 0 1) into 1
1.596 * [backup-simplify]: Simplify (sqrt 1) into 1
1.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.597 * [backup-simplify]: Simplify (+ 0 0) into 0
1.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.597 * [taylor]: Taking taylor expansion of 1 in y
1.597 * [backup-simplify]: Simplify 1 into 1
1.597 * [taylor]: Taking taylor expansion of 0 in y
1.597 * [backup-simplify]: Simplify 0 into 0
1.597 * [backup-simplify]: Simplify 1 into 1
1.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.598 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.599 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.599 * [taylor]: Taking taylor expansion of 1/2 in y
1.599 * [backup-simplify]: Simplify 1/2 into 1/2
1.599 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.599 * [taylor]: Taking taylor expansion of y in y
1.599 * [backup-simplify]: Simplify 0 into 0
1.599 * [backup-simplify]: Simplify 1 into 1
1.599 * [backup-simplify]: Simplify (* 1 1) into 1
1.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.601 * [backup-simplify]: Simplify 0 into 0
1.601 * [backup-simplify]: Simplify 0 into 0
1.601 * [backup-simplify]: Simplify 0 into 0
1.601 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.602 * [backup-simplify]: Simplify (+ 0 0) into 0
1.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.603 * [taylor]: Taking taylor expansion of 0 in y
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.604 * [backup-simplify]: Simplify 0 into 0
1.604 * [backup-simplify]: Simplify 0 into 0
1.604 * [backup-simplify]: Simplify 0 into 0
1.604 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.604 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.604 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.604 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.604 * [taylor]: Taking taylor expansion of y in y
1.604 * [backup-simplify]: Simplify 0 into 0
1.604 * [backup-simplify]: Simplify 1 into 1
1.604 * [backup-simplify]: Simplify (* 1 1) into 1
1.605 * [backup-simplify]: Simplify (/ 1 1) into 1
1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.605 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.605 * [taylor]: Taking taylor expansion of x in y
1.605 * [backup-simplify]: Simplify x into x
1.605 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.605 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.605 * [backup-simplify]: Simplify (+ 1 0) into 1
1.605 * [backup-simplify]: Simplify (sqrt 1) into 1
1.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.606 * [backup-simplify]: Simplify (+ 0 0) into 0
1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.607 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.607 * [taylor]: Taking taylor expansion of y in x
1.607 * [backup-simplify]: Simplify y into y
1.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.607 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.607 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.607 * [taylor]: Taking taylor expansion of x in x
1.607 * [backup-simplify]: Simplify 0 into 0
1.607 * [backup-simplify]: Simplify 1 into 1
1.607 * [backup-simplify]: Simplify (* 1 1) into 1
1.608 * [backup-simplify]: Simplify (/ 1 1) into 1
1.608 * [backup-simplify]: Simplify (+ 0 1) into 1
1.608 * [backup-simplify]: Simplify (sqrt 1) into 1
1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.609 * [backup-simplify]: Simplify (+ 0 0) into 0
1.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.610 * [taylor]: Taking taylor expansion of y in x
1.610 * [backup-simplify]: Simplify y into y
1.610 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.610 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.610 * [taylor]: Taking taylor expansion of x in x
1.610 * [backup-simplify]: Simplify 0 into 0
1.610 * [backup-simplify]: Simplify 1 into 1
1.610 * [backup-simplify]: Simplify (* 1 1) into 1
1.610 * [backup-simplify]: Simplify (/ 1 1) into 1
1.611 * [backup-simplify]: Simplify (+ 0 1) into 1
1.611 * [backup-simplify]: Simplify (sqrt 1) into 1
1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.612 * [backup-simplify]: Simplify (+ 0 0) into 0
1.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.612 * [taylor]: Taking taylor expansion of 1 in y
1.612 * [backup-simplify]: Simplify 1 into 1
1.612 * [taylor]: Taking taylor expansion of 0 in y
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify 1 into 1
1.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.613 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.614 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.614 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.614 * [taylor]: Taking taylor expansion of 1/2 in y
1.614 * [backup-simplify]: Simplify 1/2 into 1/2
1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.614 * [taylor]: Taking taylor expansion of y in y
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 1 into 1
1.615 * [backup-simplify]: Simplify (* 1 1) into 1
1.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.617 * [backup-simplify]: Simplify (+ 0 0) into 0
1.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.618 * [taylor]: Taking taylor expansion of 0 in y
1.618 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.619 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.619 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.620 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.620 * [taylor]: Taking taylor expansion of y in y
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 1 into 1
1.620 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.620 * [taylor]: Taking taylor expansion of x in y
1.620 * [backup-simplify]: Simplify x into x
1.620 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.620 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.620 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.620 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.620 * [backup-simplify]: Simplify (+ 0 0) into 0
1.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.620 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.620 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.620 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.620 * [taylor]: Taking taylor expansion of y in x
1.620 * [backup-simplify]: Simplify y into y
1.620 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.620 * [taylor]: Taking taylor expansion of x in x
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 1 into 1
1.620 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.621 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.621 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.621 * [backup-simplify]: Simplify (+ 0 0) into 0
1.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.621 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.621 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.621 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.621 * [taylor]: Taking taylor expansion of y in x
1.621 * [backup-simplify]: Simplify y into y
1.621 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.621 * [taylor]: Taking taylor expansion of x in x
1.621 * [backup-simplify]: Simplify 0 into 0
1.621 * [backup-simplify]: Simplify 1 into 1
1.621 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.621 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.621 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.622 * [backup-simplify]: Simplify (+ 0 0) into 0
1.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.622 * [taylor]: Taking taylor expansion of y in y
1.622 * [backup-simplify]: Simplify 0 into 0
1.622 * [backup-simplify]: Simplify 1 into 1
1.622 * [backup-simplify]: Simplify 0 into 0
1.622 * [taylor]: Taking taylor expansion of 0 in y
1.622 * [backup-simplify]: Simplify 0 into 0
1.622 * [backup-simplify]: Simplify 0 into 0
1.622 * [backup-simplify]: Simplify 1 into 1
1.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.623 * [backup-simplify]: Simplify (* 1 1) into 1
1.623 * [backup-simplify]: Simplify (+ 0 1) into 1
1.624 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.624 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.624 * [taylor]: Taking taylor expansion of 1/2 in y
1.624 * [backup-simplify]: Simplify 1/2 into 1/2
1.624 * [taylor]: Taking taylor expansion of y in y
1.624 * [backup-simplify]: Simplify 0 into 0
1.624 * [backup-simplify]: Simplify 1 into 1
1.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 0 into 0
1.626 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.627 * [backup-simplify]: Simplify (+ 0 0) into 0
1.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.627 * [taylor]: Taking taylor expansion of 0 in y
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.628 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.628 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.628 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.628 * [taylor]: Taking taylor expansion of y in y
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify 1 into 1
1.629 * [backup-simplify]: Simplify (* 1 1) into 1
1.629 * [backup-simplify]: Simplify (/ 1 1) into 1
1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.629 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.629 * [taylor]: Taking taylor expansion of x in y
1.629 * [backup-simplify]: Simplify x into x
1.629 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.629 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.630 * [backup-simplify]: Simplify (+ 1 0) into 1
1.630 * [backup-simplify]: Simplify (sqrt 1) into 1
1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.632 * [backup-simplify]: Simplify (+ 0 0) into 0
1.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.634 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.634 * [taylor]: Taking taylor expansion of y in x
1.634 * [backup-simplify]: Simplify y into y
1.634 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.635 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.635 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.635 * [taylor]: Taking taylor expansion of x in x
1.635 * [backup-simplify]: Simplify 0 into 0
1.635 * [backup-simplify]: Simplify 1 into 1
1.635 * [backup-simplify]: Simplify (* 1 1) into 1
1.636 * [backup-simplify]: Simplify (/ 1 1) into 1
1.636 * [backup-simplify]: Simplify (+ 0 1) into 1
1.636 * [backup-simplify]: Simplify (sqrt 1) into 1
1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.638 * [backup-simplify]: Simplify (+ 0 0) into 0
1.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.639 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.639 * [taylor]: Taking taylor expansion of y in x
1.639 * [backup-simplify]: Simplify y into y
1.639 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.639 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.639 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.639 * [taylor]: Taking taylor expansion of x in x
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify 1 into 1
1.639 * [backup-simplify]: Simplify (* 1 1) into 1
1.640 * [backup-simplify]: Simplify (/ 1 1) into 1
1.640 * [backup-simplify]: Simplify (+ 0 1) into 1
1.641 * [backup-simplify]: Simplify (sqrt 1) into 1
1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.642 * [backup-simplify]: Simplify (+ 0 0) into 0
1.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.643 * [taylor]: Taking taylor expansion of 1 in y
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of 0 in y
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.644 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.645 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.645 * [taylor]: Taking taylor expansion of 1/2 in y
1.645 * [backup-simplify]: Simplify 1/2 into 1/2
1.645 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.645 * [taylor]: Taking taylor expansion of y in y
1.645 * [backup-simplify]: Simplify 0 into 0
1.645 * [backup-simplify]: Simplify 1 into 1
1.646 * [backup-simplify]: Simplify (* 1 1) into 1
1.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.650 * [backup-simplify]: Simplify (+ 0 0) into 0
1.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.650 * [taylor]: Taking taylor expansion of 0 in y
1.650 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.652 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.652 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.653 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.653 * [taylor]: Taking taylor expansion of y in y
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [backup-simplify]: Simplify (* 1 1) into 1
1.653 * [backup-simplify]: Simplify (/ 1 1) into 1
1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.653 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.653 * [taylor]: Taking taylor expansion of x in y
1.653 * [backup-simplify]: Simplify x into x
1.653 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.654 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.654 * [backup-simplify]: Simplify (+ 1 0) into 1
1.654 * [backup-simplify]: Simplify (sqrt 1) into 1
1.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.656 * [backup-simplify]: Simplify (+ 0 0) into 0
1.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 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
1.657 * [backup-simplify]: Simplify y into y
1.657 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.657 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.657 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.657 * [taylor]: Taking taylor expansion of x in x
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (* 1 1) into 1
1.658 * [backup-simplify]: Simplify (/ 1 1) into 1
1.658 * [backup-simplify]: Simplify (+ 0 1) into 1
1.658 * [backup-simplify]: Simplify (sqrt 1) into 1
1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.660 * [backup-simplify]: Simplify (+ 0 0) into 0
1.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.661 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.661 * [taylor]: Taking taylor expansion of y in x
1.661 * [backup-simplify]: Simplify y into y
1.661 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.661 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.661 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.661 * [taylor]: Taking taylor expansion of x in x
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify 1 into 1
1.661 * [backup-simplify]: Simplify (* 1 1) into 1
1.662 * [backup-simplify]: Simplify (/ 1 1) into 1
1.662 * [backup-simplify]: Simplify (+ 0 1) into 1
1.662 * [backup-simplify]: Simplify (sqrt 1) into 1
1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.664 * [backup-simplify]: Simplify (+ 0 0) into 0
1.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.665 * [taylor]: Taking taylor expansion of 1 in y
1.665 * [backup-simplify]: Simplify 1 into 1
1.665 * [taylor]: Taking taylor expansion of 0 in y
1.665 * [backup-simplify]: Simplify 0 into 0
1.665 * [backup-simplify]: Simplify 1 into 1
1.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.666 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.667 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.667 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.667 * [taylor]: Taking taylor expansion of 1/2 in y
1.667 * [backup-simplify]: Simplify 1/2 into 1/2
1.667 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.667 * [taylor]: Taking taylor expansion of y in y
1.667 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify 1 into 1
1.668 * [backup-simplify]: Simplify (* 1 1) into 1
1.668 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.672 * [backup-simplify]: Simplify (+ 0 0) into 0
1.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.673 * [taylor]: Taking taylor expansion of 0 in y
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.675 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
1.675 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.675 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.675 * [taylor]: Taking taylor expansion of y in y
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.675 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.675 * [taylor]: Taking taylor expansion of x in y
1.675 * [backup-simplify]: Simplify x into x
1.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.675 * [taylor]: Taking taylor expansion of y in x
1.675 * [backup-simplify]: Simplify y into y
1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.675 * [taylor]: Taking taylor expansion of x in x
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.675 * [taylor]: Taking taylor expansion of y in x
1.675 * [backup-simplify]: Simplify y into y
1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.675 * [taylor]: Taking taylor expansion of x in x
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.676 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.676 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.676 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.676 * [taylor]: Taking taylor expansion of y in y
1.676 * [backup-simplify]: Simplify 0 into 0
1.676 * [backup-simplify]: Simplify 1 into 1
1.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.676 * [backup-simplify]: Simplify (+ 0 0) into 0
1.676 * [taylor]: Taking taylor expansion of 0 in y
1.676 * [backup-simplify]: Simplify 0 into 0
1.676 * [backup-simplify]: Simplify 0 into 0
1.677 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.677 * [backup-simplify]: Simplify (* 1 1) into 1
1.677 * [backup-simplify]: Simplify (+ 0 1) into 1
1.677 * [taylor]: Taking taylor expansion of 1 in y
1.678 * [backup-simplify]: Simplify 1 into 1
1.678 * [backup-simplify]: Simplify 1 into 1
1.678 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify (* 1 1) into 1
1.678 * [backup-simplify]: Simplify 1 into 1
1.678 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1.679 * [taylor]: Taking taylor expansion of 0 in y
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.680 * [backup-simplify]: Simplify 0 into 0
1.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.681 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [taylor]: Taking taylor expansion of 0 in y
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.682 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.682 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.682 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.682 * [taylor]: Taking taylor expansion of y in y
1.682 * [backup-simplify]: Simplify 0 into 0
1.682 * [backup-simplify]: Simplify 1 into 1
1.682 * [backup-simplify]: Simplify (* 1 1) into 1
1.682 * [backup-simplify]: Simplify (/ 1 1) into 1
1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.682 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.682 * [taylor]: Taking taylor expansion of x in y
1.682 * [backup-simplify]: Simplify x into x
1.682 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.682 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.682 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.682 * [taylor]: Taking taylor expansion of y in x
1.682 * [backup-simplify]: Simplify y into y
1.682 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.683 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.683 * [taylor]: Taking taylor expansion of x in x
1.683 * [backup-simplify]: Simplify 0 into 0
1.683 * [backup-simplify]: Simplify 1 into 1
1.683 * [backup-simplify]: Simplify (* 1 1) into 1
1.683 * [backup-simplify]: Simplify (/ 1 1) into 1
1.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.683 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.683 * [taylor]: Taking taylor expansion of y in x
1.683 * [backup-simplify]: Simplify y into y
1.683 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.683 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.683 * [taylor]: Taking taylor expansion of x in x
1.683 * [backup-simplify]: Simplify 0 into 0
1.683 * [backup-simplify]: Simplify 1 into 1
1.684 * [backup-simplify]: Simplify (* 1 1) into 1
1.684 * [backup-simplify]: Simplify (/ 1 1) into 1
1.684 * [backup-simplify]: Simplify (+ 0 1) into 1
1.684 * [taylor]: Taking taylor expansion of 1 in y
1.684 * [backup-simplify]: Simplify 1 into 1
1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.685 * [backup-simplify]: Simplify (+ 0 0) into 0
1.685 * [taylor]: Taking taylor expansion of 0 in y
1.685 * [backup-simplify]: Simplify 0 into 0
1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.686 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.687 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.687 * [taylor]: Taking taylor expansion of y in y
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [backup-simplify]: Simplify (* 1 1) into 1
1.687 * [backup-simplify]: Simplify (/ 1 1) into 1
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.689 * [backup-simplify]: Simplify (+ 0 0) into 0
1.689 * [taylor]: Taking taylor expansion of 0 in y
1.689 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.690 * [backup-simplify]: Simplify 0 into 0
1.690 * [backup-simplify]: Simplify 0 into 0
1.690 * [backup-simplify]: Simplify 0 into 0
1.690 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.692 * [backup-simplify]: Simplify (+ 0 0) into 0
1.692 * [taylor]: Taking taylor expansion of 0 in y
1.692 * [backup-simplify]: Simplify 0 into 0
1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.694 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.694 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.694 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.694 * [taylor]: Taking taylor expansion of y in y
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify 1 into 1
1.695 * [backup-simplify]: Simplify (* 1 1) into 1
1.695 * [backup-simplify]: Simplify (/ 1 1) into 1
1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.695 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.695 * [taylor]: Taking taylor expansion of x in y
1.695 * [backup-simplify]: Simplify x into x
1.695 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.695 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.696 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.696 * [taylor]: Taking taylor expansion of y in x
1.696 * [backup-simplify]: Simplify y into y
1.696 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.696 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.696 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.696 * [taylor]: Taking taylor expansion of x in x
1.696 * [backup-simplify]: Simplify 0 into 0
1.696 * [backup-simplify]: Simplify 1 into 1
1.696 * [backup-simplify]: Simplify (* 1 1) into 1
1.697 * [backup-simplify]: Simplify (/ 1 1) into 1
1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.697 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.697 * [taylor]: Taking taylor expansion of y in x
1.697 * [backup-simplify]: Simplify y into y
1.697 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.697 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.697 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.697 * [taylor]: Taking taylor expansion of x in x
1.697 * [backup-simplify]: Simplify 0 into 0
1.697 * [backup-simplify]: Simplify 1 into 1
1.697 * [backup-simplify]: Simplify (* 1 1) into 1
1.698 * [backup-simplify]: Simplify (/ 1 1) into 1
1.698 * [backup-simplify]: Simplify (+ 0 1) into 1
1.698 * [taylor]: Taking taylor expansion of 1 in y
1.698 * [backup-simplify]: Simplify 1 into 1
1.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.700 * [backup-simplify]: Simplify (+ 0 0) into 0
1.700 * [taylor]: Taking taylor expansion of 0 in y
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.701 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.701 * [taylor]: Taking taylor expansion of y in y
1.701 * [backup-simplify]: Simplify 0 into 0
1.701 * [backup-simplify]: Simplify 1 into 1
1.702 * [backup-simplify]: Simplify (* 1 1) into 1
1.702 * [backup-simplify]: Simplify (/ 1 1) into 1
1.702 * [backup-simplify]: Simplify 1 into 1
1.702 * [backup-simplify]: Simplify 1 into 1
1.702 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.704 * [backup-simplify]: Simplify (+ 0 0) into 0
1.704 * [taylor]: Taking taylor expansion of 0 in y
1.704 * [backup-simplify]: Simplify 0 into 0
1.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.709 * [backup-simplify]: Simplify (+ 0 0) into 0
1.709 * [taylor]: Taking taylor expansion of 0 in y
1.709 * [backup-simplify]: Simplify 0 into 0
1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.711 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
1.711 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.711 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.711 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.711 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.711 * [taylor]: Taking taylor expansion of y in y
1.711 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify 1 into 1
1.711 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.711 * [taylor]: Taking taylor expansion of x in y
1.711 * [backup-simplify]: Simplify x into x
1.711 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.711 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.711 * [taylor]: Taking taylor expansion of y in x
1.711 * [backup-simplify]: Simplify y into y
1.711 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.711 * [taylor]: Taking taylor expansion of x in x
1.711 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify 1 into 1
1.711 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.711 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.711 * [taylor]: Taking taylor expansion of y in x
1.712 * [backup-simplify]: Simplify y into y
1.712 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.712 * [taylor]: Taking taylor expansion of x in x
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 1 into 1
1.712 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.712 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.712 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.712 * [taylor]: Taking taylor expansion of y in y
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 1 into 1
1.712 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.712 * [backup-simplify]: Simplify (+ 0 0) into 0
1.712 * [taylor]: Taking taylor expansion of 0 in y
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.713 * [backup-simplify]: Simplify (* 1 1) into 1
1.714 * [backup-simplify]: Simplify (+ 0 1) into 1
1.714 * [taylor]: Taking taylor expansion of 1 in y
1.714 * [backup-simplify]: Simplify 1 into 1
1.714 * [backup-simplify]: Simplify 1 into 1
1.714 * [backup-simplify]: Simplify 0 into 0
1.714 * [backup-simplify]: Simplify (* 1 1) into 1
1.714 * [backup-simplify]: Simplify 1 into 1
1.715 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.716 * [backup-simplify]: Simplify (+ 0 0) into 0
1.716 * [taylor]: Taking taylor expansion of 0 in y
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.719 * [backup-simplify]: Simplify (+ 0 0) into 0
1.719 * [taylor]: Taking taylor expansion of 0 in y
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.719 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.720 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.720 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.720 * [taylor]: Taking taylor expansion of y in y
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 1 into 1
1.720 * [backup-simplify]: Simplify (* 1 1) into 1
1.720 * [backup-simplify]: Simplify (/ 1 1) into 1
1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.720 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.720 * [taylor]: Taking taylor expansion of x in y
1.720 * [backup-simplify]: Simplify x into x
1.720 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.721 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.721 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.721 * [taylor]: Taking taylor expansion of y in x
1.721 * [backup-simplify]: Simplify y into y
1.721 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.721 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.721 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.721 * [taylor]: Taking taylor expansion of x in x
1.721 * [backup-simplify]: Simplify 0 into 0
1.721 * [backup-simplify]: Simplify 1 into 1
1.721 * [backup-simplify]: Simplify (* 1 1) into 1
1.722 * [backup-simplify]: Simplify (/ 1 1) into 1
1.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.722 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.722 * [taylor]: Taking taylor expansion of y in x
1.722 * [backup-simplify]: Simplify y into y
1.722 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.722 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.722 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.722 * [taylor]: Taking taylor expansion of x in x
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 1 into 1
1.723 * [backup-simplify]: Simplify (* 1 1) into 1
1.723 * [backup-simplify]: Simplify (/ 1 1) into 1
1.723 * [backup-simplify]: Simplify (+ 0 1) into 1
1.723 * [taylor]: Taking taylor expansion of 1 in y
1.723 * [backup-simplify]: Simplify 1 into 1
1.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (+ 0 0) into 0
1.725 * [taylor]: Taking taylor expansion of 0 in y
1.725 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.727 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.727 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.727 * [taylor]: Taking taylor expansion of y in y
1.727 * [backup-simplify]: Simplify 0 into 0
1.727 * [backup-simplify]: Simplify 1 into 1
1.727 * [backup-simplify]: Simplify (* 1 1) into 1
1.728 * [backup-simplify]: Simplify (/ 1 1) into 1
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.730 * [backup-simplify]: Simplify (+ 0 0) into 0
1.730 * [taylor]: Taking taylor expansion of 0 in y
1.730 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.731 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.734 * [backup-simplify]: Simplify (+ 0 0) into 0
1.734 * [taylor]: Taking taylor expansion of 0 in y
1.734 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.737 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.737 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.737 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.737 * [taylor]: Taking taylor expansion of y in y
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify (* 1 1) into 1
1.738 * [backup-simplify]: Simplify (/ 1 1) into 1
1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.738 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.738 * [taylor]: Taking taylor expansion of x in y
1.738 * [backup-simplify]: Simplify x into x
1.738 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.738 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.738 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.738 * [taylor]: Taking taylor expansion of y in x
1.738 * [backup-simplify]: Simplify y into y
1.738 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.738 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.738 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.738 * [taylor]: Taking taylor expansion of x in x
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify 1 into 1
1.739 * [backup-simplify]: Simplify (* 1 1) into 1
1.739 * [backup-simplify]: Simplify (/ 1 1) into 1
1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.739 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.739 * [taylor]: Taking taylor expansion of y in x
1.739 * [backup-simplify]: Simplify y into y
1.739 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.739 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.739 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.739 * [taylor]: Taking taylor expansion of x in x
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.740 * [backup-simplify]: Simplify (* 1 1) into 1
1.740 * [backup-simplify]: Simplify (/ 1 1) into 1
1.740 * [backup-simplify]: Simplify (+ 0 1) into 1
1.740 * [taylor]: Taking taylor expansion of 1 in y
1.740 * [backup-simplify]: Simplify 1 into 1
1.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.742 * [backup-simplify]: Simplify (+ 0 0) into 0
1.742 * [taylor]: Taking taylor expansion of 0 in y
1.742 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.744 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.744 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.744 * [taylor]: Taking taylor expansion of y in y
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify 1 into 1
1.744 * [backup-simplify]: Simplify (* 1 1) into 1
1.744 * [backup-simplify]: Simplify (/ 1 1) into 1
1.744 * [backup-simplify]: Simplify 1 into 1
1.745 * [backup-simplify]: Simplify 1 into 1
1.745 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (+ 0 0) into 0
1.747 * [taylor]: Taking taylor expansion of 0 in y
1.747 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.751 * [backup-simplify]: Simplify (+ 0 0) into 0
1.751 * [taylor]: Taking taylor expansion of 0 in y
1.751 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.753 * * * [progress]: simplifying candidates
1.754 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* 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))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
1.755 * * [simplify]: iteration 0: 48 enodes
1.772 * * [simplify]: iteration 1: 127 enodes
1.816 * * [simplify]: iteration 2: 372 enodes
2.023 * * [simplify]: iteration 3: 1559 enodes
3.056 * * [simplify]: iteration complete: 5000 enodes
3.057 * * [simplify]: Extracting #0: cost 28 inf + 0
3.057 * * [simplify]: Extracting #1: cost 178 inf + 4
3.060 * * [simplify]: Extracting #2: cost 1293 inf + 3551
3.074 * * [simplify]: Extracting #3: cost 1187 inf + 74846
3.130 * * [simplify]: Extracting #4: cost 304 inf + 241403
3.208 * * [simplify]: Extracting #5: cost 38 inf + 306021
3.275 * * [simplify]: Extracting #6: cost 3 inf + 314640
3.348 * * [simplify]: Extracting #7: cost 0 inf + 315519
3.414 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y y) (* y y)) (* y y))))
  (sqrt (+ (* (* y y) (* y y)) (* (* x x) (- (* x x) (* y y)))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y y) (* y y)) (* y y))))
  (sqrt (+ (* (* y y) (* y y)) (* (* x x) (- (* x x) (* y y)))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* 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)))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y y) (* y y)) (* y y)))
  (+ (* (* y y) (* y y)) (* (* x x) (- (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (- (* x x) (* y y))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y y) (* y y)) (* y y)))
  (+ (* (* y y) (* y y)) (* (* x x) (- (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
3.418 * * * [progress]: adding candidates to table
3.662 * [progress]: [Phase 3 of 3] Extracting.
3.667 * [simplify]: Simplifying:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.667 * * [simplify]: iteration 0: 7 enodes
3.667 * * [simplify]: iteration 1: 8 enodes
3.668 * * [simplify]: iteration complete: 8 enodes
3.668 * * [simplify]: Extracting #0: cost 1 inf + 0
3.668 * * [simplify]: Extracting #1: cost 2 inf + 0
3.668 * * [simplify]: Extracting #2: cost 3 inf + 0
3.668 * * [simplify]: Extracting #3: cost 5 inf + 0
3.668 * * [simplify]: Extracting #4: cost 7 inf + 0
3.668 * * [simplify]: Extracting #5: cost 4 inf + 43
3.668 * * [simplify]: Extracting #6: cost 0 inf + 570
3.668 * [simplify]: Simplified to:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.131 * [regime-testing]: Baseline error score: 0.014388640768227042
5.142 * [regime-testing]: Oracle error score: 0.014388640768227042
5.142 * [regime-testing]: End program error score: 0.014388640768227042