25.244 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.034 * [progress]: [Phase 2 of 3] Improving.
0.034 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.034 * * [simplify]: iteration 0: 5 enodes
0.036 * * [simplify]: iteration 1: 6 enodes
0.037 * * [simplify]: iteration complete: 6 enodes
0.037 * * [simplify]: Extracting #0: cost 1 inf + 0
0.037 * * [simplify]: Extracting #1: cost 3 inf + 0
0.037 * * [simplify]: Extracting #2: cost 5 inf + 0
0.037 * * [simplify]: Extracting #3: cost 2 inf + 43
0.037 * * [simplify]: Extracting #4: cost 0 inf + 206
0.037 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.038 * * [progress]: iteration 1 / 4
0.038 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.042 * * * [progress]: localizing error
0.058 * * * [progress]: generating rewritten candidates
0.058 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.067 * * * [progress]: generating series expansions
0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.067 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.067 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.067 * [taylor]: Taking taylor expansion of x in y
0.067 * [backup-simplify]: Simplify x into x
0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.068 * [taylor]: Taking taylor expansion of y in x
0.068 * [backup-simplify]: Simplify y into y
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.068 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.068 * [taylor]: Taking taylor expansion of y in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.070 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (+ 0 1) into 1
0.070 * [taylor]: Taking taylor expansion of 1 in y
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (* 1 1) into 1
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.072 * [backup-simplify]: Simplify (+ (* 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 0 into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [taylor]: Taking taylor expansion of 0 in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.076 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.076 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (* 1 1) into 1
0.076 * [backup-simplify]: Simplify (/ 1 1) into 1
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.077 * [taylor]: Taking taylor expansion of x in y
0.077 * [backup-simplify]: Simplify x into x
0.077 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.077 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [backup-simplify]: Simplify y into y
0.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [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 y 2)) (/ 1 (pow x 2))) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [backup-simplify]: Simplify y into y
0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.078 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [backup-simplify]: Simplify (+ 0 1) into 1
0.079 * [taylor]: Taking taylor expansion of 1 in y
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.083 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.092 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (* 1 1) into 1
0.092 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.092 * [taylor]: Taking taylor expansion of x in y
0.092 * [backup-simplify]: Simplify x into x
0.092 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [backup-simplify]: Simplify y into y
0.093 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.094 * [taylor]: Taking taylor expansion of y in x
0.094 * [backup-simplify]: Simplify y into y
0.094 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.094 * [taylor]: Taking taylor expansion of x in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.095 * [backup-simplify]: Simplify (/ 1 1) into 1
0.095 * [backup-simplify]: Simplify (+ 0 1) into 1
0.095 * [taylor]: Taking taylor expansion of 1 in y
0.095 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (* 1 1) into 1
0.098 * [backup-simplify]: Simplify (/ 1 1) into 1
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.106 * * * [progress]: simplifying candidates
0.106 * [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))
0.107 * * [simplify]: iteration 0: 30 enodes
0.116 * * [simplify]: iteration 1: 100 enodes
0.154 * * [simplify]: iteration 2: 342 enodes
0.328 * * [simplify]: iteration 3: 1477 enodes
1.333 * * [simplify]: iteration complete: 5000 enodes
1.333 * * [simplify]: Extracting #0: cost 11 inf + 0
1.334 * * [simplify]: Extracting #1: cost 214 inf + 0
1.337 * * [simplify]: Extracting #2: cost 1361 inf + 1
1.347 * * [simplify]: Extracting #3: cost 1890 inf + 14317
1.384 * * [simplify]: Extracting #4: cost 806 inf + 183298
1.461 * * [simplify]: Extracting #5: cost 108 inf + 334399
1.544 * * [simplify]: Extracting #6: cost 14 inf + 347583
1.626 * * [simplify]: Extracting #7: cost 0 inf + 351605
1.713 * [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))
1.713 * * * [progress]: adding candidates to table
1.757 * * [progress]: iteration 2 / 4
1.757 * * * [progress]: picking best candidate
1.760 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
1.760 * * * [progress]: localizing error
1.779 * * * [progress]: generating rewritten candidates
1.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.788 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.794 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
1.802 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
1.810 * * * [progress]: generating series expansions
1.810 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.810 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.810 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.810 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.810 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.810 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.810 * [taylor]: Taking taylor expansion of y in y
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [backup-simplify]: Simplify 1 into 1
1.810 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.810 * [taylor]: Taking taylor expansion of x in y
1.810 * [backup-simplify]: Simplify x into x
1.810 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.810 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.810 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.810 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.811 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.811 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.811 * [taylor]: Taking taylor expansion of y in x
1.811 * [backup-simplify]: Simplify y into y
1.811 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.811 * [taylor]: Taking taylor expansion of x in x
1.811 * [backup-simplify]: Simplify 0 into 0
1.811 * [backup-simplify]: Simplify 1 into 1
1.811 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.811 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.811 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.811 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.812 * [backup-simplify]: Simplify (+ 0 0) into 0
1.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.812 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.812 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.812 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.812 * [taylor]: Taking taylor expansion of y in x
1.812 * [backup-simplify]: Simplify y into y
1.812 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.812 * [taylor]: Taking taylor expansion of x in x
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [backup-simplify]: Simplify 1 into 1
1.812 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.812 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.812 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.812 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.812 * [backup-simplify]: Simplify (+ 0 0) into 0
1.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.813 * [taylor]: Taking taylor expansion of y in y
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 1 into 1
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [taylor]: Taking taylor expansion of 0 in y
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 1 into 1
1.813 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.813 * [backup-simplify]: Simplify (* 1 1) into 1
1.814 * [backup-simplify]: Simplify (+ 0 1) into 1
1.814 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.814 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.814 * [taylor]: Taking taylor expansion of 1/2 in y
1.814 * [backup-simplify]: Simplify 1/2 into 1/2
1.814 * [taylor]: Taking taylor expansion of y in y
1.814 * [backup-simplify]: Simplify 0 into 0
1.814 * [backup-simplify]: Simplify 1 into 1
1.814 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.816 * [backup-simplify]: Simplify (+ 0 0) into 0
1.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.816 * [taylor]: Taking taylor expansion of 0 in y
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.817 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.817 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.817 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.817 * [taylor]: Taking taylor expansion of y in y
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify 1 into 1
1.818 * [backup-simplify]: Simplify (* 1 1) into 1
1.818 * [backup-simplify]: Simplify (/ 1 1) into 1
1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.818 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.818 * [taylor]: Taking taylor expansion of x in y
1.818 * [backup-simplify]: Simplify x into x
1.818 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.818 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.818 * [backup-simplify]: Simplify (+ 1 0) into 1
1.818 * [backup-simplify]: Simplify (sqrt 1) into 1
1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.819 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.820 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.820 * [taylor]: Taking taylor expansion of y in x
1.820 * [backup-simplify]: Simplify y into y
1.820 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.820 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.820 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.820 * [taylor]: Taking taylor expansion of x in x
1.820 * [backup-simplify]: Simplify 0 into 0
1.820 * [backup-simplify]: Simplify 1 into 1
1.820 * [backup-simplify]: Simplify (* 1 1) into 1
1.821 * [backup-simplify]: Simplify (/ 1 1) into 1
1.821 * [backup-simplify]: Simplify (+ 0 1) into 1
1.821 * [backup-simplify]: Simplify (sqrt 1) into 1
1.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.822 * [backup-simplify]: Simplify (+ 0 0) into 0
1.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.823 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.823 * [taylor]: Taking taylor expansion of y in x
1.823 * [backup-simplify]: Simplify y into y
1.823 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.823 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.823 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.823 * [taylor]: Taking taylor expansion of x in x
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 1 into 1
1.823 * [backup-simplify]: Simplify (* 1 1) into 1
1.823 * [backup-simplify]: Simplify (/ 1 1) into 1
1.824 * [backup-simplify]: Simplify (+ 0 1) into 1
1.824 * [backup-simplify]: Simplify (sqrt 1) into 1
1.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.825 * [backup-simplify]: Simplify (+ 0 0) into 0
1.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.825 * [taylor]: Taking taylor expansion of 1 in y
1.825 * [backup-simplify]: Simplify 1 into 1
1.825 * [taylor]: Taking taylor expansion of 0 in y
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.827 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.827 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.828 * [taylor]: Taking taylor expansion of 1/2 in y
1.828 * [backup-simplify]: Simplify 1/2 into 1/2
1.828 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.828 * [taylor]: Taking taylor expansion of y in y
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify 1 into 1
1.828 * [backup-simplify]: Simplify (* 1 1) into 1
1.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.831 * [backup-simplify]: Simplify (+ 0 0) into 0
1.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.831 * [taylor]: Taking taylor expansion of 0 in y
1.831 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.832 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.833 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.833 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.833 * [taylor]: Taking taylor expansion of y in y
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [backup-simplify]: Simplify (* 1 1) into 1
1.833 * [backup-simplify]: Simplify (/ 1 1) into 1
1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.833 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.833 * [taylor]: Taking taylor expansion of x in y
1.833 * [backup-simplify]: Simplify x into x
1.833 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.834 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.834 * [backup-simplify]: Simplify (+ 1 0) into 1
1.834 * [backup-simplify]: Simplify (sqrt 1) into 1
1.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.835 * [backup-simplify]: Simplify (+ 0 0) into 0
1.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.836 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.836 * [taylor]: Taking taylor expansion of y in x
1.836 * [backup-simplify]: Simplify y into y
1.836 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.836 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.836 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.836 * [taylor]: Taking taylor expansion of x in x
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify 1 into 1
1.836 * [backup-simplify]: Simplify (* 1 1) into 1
1.836 * [backup-simplify]: Simplify (/ 1 1) into 1
1.837 * [backup-simplify]: Simplify (+ 0 1) into 1
1.837 * [backup-simplify]: Simplify (sqrt 1) into 1
1.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.838 * [backup-simplify]: Simplify (+ 0 0) into 0
1.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.838 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.838 * [taylor]: Taking taylor expansion of y in x
1.838 * [backup-simplify]: Simplify y into y
1.838 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.839 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.839 * [taylor]: Taking taylor expansion of x in x
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [backup-simplify]: Simplify (* 1 1) into 1
1.839 * [backup-simplify]: Simplify (/ 1 1) into 1
1.839 * [backup-simplify]: Simplify (+ 0 1) into 1
1.840 * [backup-simplify]: Simplify (sqrt 1) into 1
1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.841 * [backup-simplify]: Simplify (+ 0 0) into 0
1.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.841 * [taylor]: Taking taylor expansion of 1 in y
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [taylor]: Taking taylor expansion of 0 in y
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.842 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.843 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.843 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.843 * [taylor]: Taking taylor expansion of 1/2 in y
1.844 * [backup-simplify]: Simplify 1/2 into 1/2
1.844 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.844 * [taylor]: Taking taylor expansion of y in y
1.844 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify 1 into 1
1.844 * [backup-simplify]: Simplify (* 1 1) into 1
1.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.845 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.848 * [backup-simplify]: Simplify (+ 0 0) into 0
1.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.848 * [taylor]: Taking taylor expansion of 0 in y
1.848 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.850 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.850 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.850 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.850 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.850 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.850 * [taylor]: Taking taylor expansion of y in y
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.850 * [taylor]: Taking taylor expansion of x in y
1.850 * [backup-simplify]: Simplify x into x
1.850 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.851 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.851 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.851 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.851 * [backup-simplify]: Simplify (+ 0 0) into 0
1.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.851 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) 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 * [backup-simplify]: Simplify y into y
1.851 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.851 * [taylor]: Taking taylor expansion of x in x
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 1 into 1
1.851 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.852 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.852 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.852 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.852 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.852 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.852 * [taylor]: Taking taylor expansion of y in x
1.852 * [backup-simplify]: Simplify y into y
1.852 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.852 * [taylor]: Taking taylor expansion of x in x
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.853 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.853 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.853 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.853 * [backup-simplify]: Simplify (+ 0 0) into 0
1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.853 * [taylor]: Taking taylor expansion of y in y
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 1 into 1
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [taylor]: Taking taylor expansion of 0 in y
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 1 into 1
1.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.854 * [backup-simplify]: Simplify (* 1 1) into 1
1.854 * [backup-simplify]: Simplify (+ 0 1) into 1
1.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.855 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.855 * [taylor]: Taking taylor expansion of 1/2 in y
1.855 * [backup-simplify]: Simplify 1/2 into 1/2
1.855 * [taylor]: Taking taylor expansion of y in y
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 1 into 1
1.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.858 * [taylor]: Taking taylor expansion of 0 in y
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.859 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.859 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.859 * [taylor]: Taking taylor expansion of y in y
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.860 * [backup-simplify]: Simplify (* 1 1) into 1
1.860 * [backup-simplify]: Simplify (/ 1 1) into 1
1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.860 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.860 * [taylor]: Taking taylor expansion of x in y
1.860 * [backup-simplify]: Simplify x into x
1.860 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.860 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.861 * [backup-simplify]: Simplify (+ 1 0) into 1
1.861 * [backup-simplify]: Simplify (sqrt 1) into 1
1.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.862 * [backup-simplify]: Simplify (+ 0 0) into 0
1.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.863 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.863 * [taylor]: Taking taylor expansion of y in x
1.863 * [backup-simplify]: Simplify y into y
1.863 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.863 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.863 * [taylor]: Taking taylor expansion of x in x
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 1 into 1
1.864 * [backup-simplify]: Simplify (* 1 1) into 1
1.864 * [backup-simplify]: Simplify (/ 1 1) into 1
1.864 * [backup-simplify]: Simplify (+ 0 1) into 1
1.865 * [backup-simplify]: Simplify (sqrt 1) into 1
1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.866 * [backup-simplify]: Simplify (+ 0 0) into 0
1.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.867 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.867 * [taylor]: Taking taylor expansion of y in x
1.867 * [backup-simplify]: Simplify y into y
1.867 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.867 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.867 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.867 * [taylor]: Taking taylor expansion of x in x
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (* 1 1) into 1
1.868 * [backup-simplify]: Simplify (/ 1 1) into 1
1.868 * [backup-simplify]: Simplify (+ 0 1) into 1
1.868 * [backup-simplify]: Simplify (sqrt 1) into 1
1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.870 * [backup-simplify]: Simplify (+ 0 0) into 0
1.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.870 * [taylor]: Taking taylor expansion of 1 in y
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [taylor]: Taking taylor expansion of 0 in y
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 1 into 1
1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.874 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.875 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.875 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.875 * [taylor]: Taking taylor expansion of 1/2 in y
1.875 * [backup-simplify]: Simplify 1/2 into 1/2
1.875 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.875 * [taylor]: Taking taylor expansion of y in y
1.875 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify 1 into 1
1.875 * [backup-simplify]: Simplify (* 1 1) into 1
1.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.879 * [backup-simplify]: Simplify (+ 0 0) into 0
1.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.880 * [taylor]: Taking taylor expansion of 0 in y
1.880 * [backup-simplify]: Simplify 0 into 0
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify 0 into 0
1.881 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.882 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.882 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.882 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.882 * [taylor]: Taking taylor expansion of y in y
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.882 * [backup-simplify]: Simplify (* 1 1) into 1
1.883 * [backup-simplify]: Simplify (/ 1 1) into 1
1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.883 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.883 * [taylor]: Taking taylor expansion of x in y
1.883 * [backup-simplify]: Simplify x into x
1.883 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.883 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.883 * [backup-simplify]: Simplify (+ 1 0) into 1
1.884 * [backup-simplify]: Simplify (sqrt 1) into 1
1.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.886 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.886 * [taylor]: Taking taylor expansion of y in x
1.886 * [backup-simplify]: Simplify y into y
1.886 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.886 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.886 * [taylor]: Taking taylor expansion of x in x
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [backup-simplify]: Simplify (* 1 1) into 1
1.887 * [backup-simplify]: Simplify (/ 1 1) into 1
1.887 * [backup-simplify]: Simplify (+ 0 1) into 1
1.887 * [backup-simplify]: Simplify (sqrt 1) into 1
1.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.889 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.889 * [taylor]: Taking taylor expansion of y in x
1.889 * [backup-simplify]: Simplify y into y
1.889 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.889 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.890 * [taylor]: Taking taylor expansion of x in x
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [backup-simplify]: Simplify (* 1 1) into 1
1.890 * [backup-simplify]: Simplify (/ 1 1) into 1
1.891 * [backup-simplify]: Simplify (+ 0 1) into 1
1.891 * [backup-simplify]: Simplify (sqrt 1) into 1
1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.893 * [taylor]: Taking taylor expansion of 1 in y
1.893 * [backup-simplify]: Simplify 1 into 1
1.893 * [taylor]: Taking taylor expansion of 0 in y
1.893 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify 1 into 1
1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.896 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.896 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.896 * [taylor]: Taking taylor expansion of 1/2 in y
1.896 * [backup-simplify]: Simplify 1/2 into 1/2
1.896 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.896 * [taylor]: Taking taylor expansion of y in y
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 1 into 1
1.896 * [backup-simplify]: Simplify (* 1 1) into 1
1.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.898 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (+ 0 0) into 0
1.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.900 * [taylor]: Taking taylor expansion of 0 in y
1.900 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.902 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
1.902 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.902 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.902 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.902 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.902 * [taylor]: Taking taylor expansion of y in y
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 1 into 1
1.903 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.903 * [taylor]: Taking taylor expansion of x in y
1.903 * [backup-simplify]: Simplify x into x
1.903 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.903 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.903 * [taylor]: Taking taylor expansion of y in x
1.903 * [backup-simplify]: Simplify y into y
1.903 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.903 * [taylor]: Taking taylor expansion of x in x
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.903 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.903 * [taylor]: Taking taylor expansion of y in x
1.903 * [backup-simplify]: Simplify y into y
1.903 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.903 * [taylor]: Taking taylor expansion of x in x
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.903 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.903 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.903 * [taylor]: Taking taylor expansion of y in y
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.904 * [backup-simplify]: Simplify (+ 0 0) into 0
1.904 * [taylor]: Taking taylor expansion of 0 in y
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.904 * [backup-simplify]: Simplify (* 1 1) into 1
1.905 * [backup-simplify]: Simplify (+ 0 1) into 1
1.905 * [taylor]: Taking taylor expansion of 1 in y
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify (* 1 1) into 1
1.905 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.907 * [backup-simplify]: Simplify (+ 0 0) into 0
1.907 * [taylor]: Taking taylor expansion of 0 in y
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.908 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [taylor]: Taking taylor expansion of 0 in y
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.910 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.910 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.910 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.910 * [taylor]: Taking taylor expansion of y in y
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.910 * [backup-simplify]: Simplify (* 1 1) into 1
1.911 * [backup-simplify]: Simplify (/ 1 1) into 1
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.911 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.911 * [taylor]: Taking taylor expansion of x in y
1.911 * [backup-simplify]: Simplify x into x
1.911 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.911 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.911 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.911 * [taylor]: Taking taylor expansion of y in x
1.911 * [backup-simplify]: Simplify y into y
1.911 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.911 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.911 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.911 * [taylor]: Taking taylor expansion of x in x
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (* 1 1) into 1
1.912 * [backup-simplify]: Simplify (/ 1 1) into 1
1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.912 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.912 * [taylor]: Taking taylor expansion of y in x
1.912 * [backup-simplify]: Simplify y into y
1.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.912 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.912 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.912 * [taylor]: Taking taylor expansion of x in x
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.913 * [backup-simplify]: Simplify (* 1 1) into 1
1.913 * [backup-simplify]: Simplify (/ 1 1) into 1
1.913 * [backup-simplify]: Simplify (+ 0 1) into 1
1.913 * [taylor]: Taking taylor expansion of 1 in y
1.913 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [taylor]: Taking taylor expansion of 0 in y
1.915 * [backup-simplify]: Simplify 0 into 0
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.916 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.916 * [taylor]: Taking taylor expansion of y in y
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 1 into 1
1.917 * [backup-simplify]: Simplify (* 1 1) into 1
1.917 * [backup-simplify]: Simplify (/ 1 1) into 1
1.917 * [backup-simplify]: Simplify 1 into 1
1.917 * [backup-simplify]: Simplify 1 into 1
1.917 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1.919 * [taylor]: Taking taylor expansion of 0 in y
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.922 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [taylor]: Taking taylor expansion of 0 in y
1.923 * [backup-simplify]: Simplify 0 into 0
1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.925 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.925 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.925 * [taylor]: Taking taylor expansion of y in y
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify 1 into 1
1.925 * [backup-simplify]: Simplify (* 1 1) into 1
1.925 * [backup-simplify]: Simplify (/ 1 1) into 1
1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.925 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.925 * [taylor]: Taking taylor expansion of x in y
1.926 * [backup-simplify]: Simplify x into x
1.926 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.926 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.926 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.926 * [taylor]: Taking taylor expansion of y in x
1.926 * [backup-simplify]: Simplify y into y
1.926 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.926 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.926 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.926 * [taylor]: Taking taylor expansion of x in x
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.926 * [backup-simplify]: Simplify (* 1 1) into 1
1.927 * [backup-simplify]: Simplify (/ 1 1) into 1
1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.927 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.927 * [taylor]: Taking taylor expansion of y in x
1.927 * [backup-simplify]: Simplify y into y
1.927 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.927 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.927 * [taylor]: Taking taylor expansion of x in x
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [backup-simplify]: Simplify (* 1 1) into 1
1.928 * [backup-simplify]: Simplify (/ 1 1) into 1
1.928 * [backup-simplify]: Simplify (+ 0 1) into 1
1.928 * [taylor]: Taking taylor expansion of 1 in y
1.928 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [taylor]: Taking taylor expansion of 0 in y
1.930 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.931 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.931 * [taylor]: Taking taylor expansion of y in y
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (* 1 1) into 1
1.932 * [backup-simplify]: Simplify (/ 1 1) into 1
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (+ 0 0) into 0
1.934 * [taylor]: Taking taylor expansion of 0 in y
1.934 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.938 * [taylor]: Taking taylor expansion of 0 in y
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.939 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
1.939 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.939 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.939 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.939 * [taylor]: Taking taylor expansion of y in y
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.939 * [taylor]: Taking taylor expansion of x in y
1.939 * [backup-simplify]: Simplify x into x
1.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.939 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.939 * [taylor]: Taking taylor expansion of y in x
1.939 * [backup-simplify]: Simplify y into y
1.939 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.939 * [taylor]: Taking taylor expansion of x in x
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.939 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.939 * [taylor]: Taking taylor expansion of y in x
1.939 * [backup-simplify]: Simplify y into y
1.939 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.939 * [taylor]: Taking taylor expansion of x in x
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 1 into 1
1.940 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.940 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.940 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.940 * [taylor]: Taking taylor expansion of y in y
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 1 into 1
1.940 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [taylor]: Taking taylor expansion of 0 in y
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.941 * [backup-simplify]: Simplify (* 1 1) into 1
1.941 * [backup-simplify]: Simplify (+ 0 1) into 1
1.941 * [taylor]: Taking taylor expansion of 1 in y
1.941 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (* 1 1) into 1
1.941 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.942 * [backup-simplify]: Simplify (+ 0 0) into 0
1.942 * [taylor]: Taking taylor expansion of 0 in y
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.943 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [taylor]: Taking taylor expansion of 0 in y
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.945 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.945 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.945 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.945 * [taylor]: Taking taylor expansion of y in y
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [backup-simplify]: Simplify (* 1 1) into 1
1.945 * [backup-simplify]: Simplify (/ 1 1) into 1
1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.945 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.945 * [taylor]: Taking taylor expansion of x in y
1.945 * [backup-simplify]: Simplify x into x
1.946 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.946 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.946 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.946 * [taylor]: Taking taylor expansion of y in x
1.946 * [backup-simplify]: Simplify y into y
1.946 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.946 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.946 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.946 * [taylor]: Taking taylor expansion of x in x
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [backup-simplify]: Simplify (* 1 1) into 1
1.946 * [backup-simplify]: Simplify (/ 1 1) into 1
1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.946 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.946 * [taylor]: Taking taylor expansion of y in x
1.946 * [backup-simplify]: Simplify y into y
1.947 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.947 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.947 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.947 * [taylor]: Taking taylor expansion of x in x
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [backup-simplify]: Simplify (* 1 1) into 1
1.947 * [backup-simplify]: Simplify (/ 1 1) into 1
1.947 * [backup-simplify]: Simplify (+ 0 1) into 1
1.947 * [taylor]: Taking taylor expansion of 1 in y
1.948 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [taylor]: Taking taylor expansion of 0 in y
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.950 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.950 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.950 * [taylor]: Taking taylor expansion of y in y
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 1 into 1
1.950 * [backup-simplify]: Simplify (* 1 1) into 1
1.951 * [backup-simplify]: Simplify (/ 1 1) into 1
1.951 * [backup-simplify]: Simplify 1 into 1
1.951 * [backup-simplify]: Simplify 1 into 1
1.951 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [taylor]: Taking taylor expansion of 0 in y
1.952 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.955 * [backup-simplify]: Simplify (+ 0 0) into 0
1.955 * [taylor]: Taking taylor expansion of 0 in y
1.955 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.957 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.957 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.957 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.957 * [taylor]: Taking taylor expansion of y in y
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify 1 into 1
1.957 * [backup-simplify]: Simplify (* 1 1) into 1
1.957 * [backup-simplify]: Simplify (/ 1 1) into 1
1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.957 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.957 * [taylor]: Taking taylor expansion of x in y
1.957 * [backup-simplify]: Simplify x into x
1.957 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.957 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.958 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.958 * [taylor]: Taking taylor expansion of y in x
1.958 * [backup-simplify]: Simplify y into y
1.958 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.958 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.958 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.958 * [taylor]: Taking taylor expansion of x in x
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.958 * [backup-simplify]: Simplify (* 1 1) into 1
1.958 * [backup-simplify]: Simplify (/ 1 1) into 1
1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.958 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.958 * [taylor]: Taking taylor expansion of y in x
1.958 * [backup-simplify]: Simplify y into y
1.958 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.958 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.959 * [taylor]: Taking taylor expansion of x in x
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (* 1 1) into 1
1.959 * [backup-simplify]: Simplify (/ 1 1) into 1
1.959 * [backup-simplify]: Simplify (+ 0 1) into 1
1.959 * [taylor]: Taking taylor expansion of 1 in y
1.959 * [backup-simplify]: Simplify 1 into 1
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [taylor]: Taking taylor expansion of 0 in y
1.960 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.962 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.962 * [taylor]: Taking taylor expansion of y in y
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.962 * [backup-simplify]: Simplify (* 1 1) into 1
1.962 * [backup-simplify]: Simplify (/ 1 1) into 1
1.962 * [backup-simplify]: Simplify 1 into 1
1.962 * [backup-simplify]: Simplify 1 into 1
1.962 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.964 * [taylor]: Taking taylor expansion of 0 in y
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (+ 0 0) into 0
1.967 * [taylor]: Taking taylor expansion of 0 in y
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.968 * * * [progress]: simplifying candidates
1.969 * [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))
1.970 * * [simplify]: iteration 0: 48 enodes
1.986 * * [simplify]: iteration 1: 127 enodes
2.035 * * [simplify]: iteration 2: 372 enodes
2.226 * * [simplify]: iteration 3: 1559 enodes
3.177 * * [simplify]: iteration complete: 5000 enodes
3.177 * * [simplify]: Extracting #0: cost 28 inf + 0
3.177 * * [simplify]: Extracting #1: cost 178 inf + 4
3.181 * * [simplify]: Extracting #2: cost 1293 inf + 3551
3.200 * * [simplify]: Extracting #3: cost 1187 inf + 74846
3.246 * * [simplify]: Extracting #4: cost 304 inf + 241403
3.305 * * [simplify]: Extracting #5: cost 38 inf + 306021
3.367 * * [simplify]: Extracting #6: cost 3 inf + 314640
3.438 * * [simplify]: Extracting #7: cost 0 inf + 315519
3.518 * [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))
3.522 * * * [progress]: adding candidates to table
3.816 * [progress]: [Phase 3 of 3] Extracting.
3.821 * [simplify]: Simplifying:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.821 * * [simplify]: iteration 0: 7 enodes
3.822 * * [simplify]: iteration 1: 8 enodes
3.822 * * [simplify]: iteration complete: 8 enodes
3.822 * * [simplify]: Extracting #0: cost 1 inf + 0
3.822 * * [simplify]: Extracting #1: cost 2 inf + 0
3.823 * * [simplify]: Extracting #2: cost 3 inf + 0
3.823 * * [simplify]: Extracting #3: cost 5 inf + 0
3.823 * * [simplify]: Extracting #4: cost 7 inf + 0
3.823 * * [simplify]: Extracting #5: cost 4 inf + 43
3.823 * * [simplify]: Extracting #6: cost 0 inf + 570
3.823 * [simplify]: Simplified to:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.105 * [regime-testing]: Baseline error score: 0.014388640768227042
5.115 * [regime-testing]: Oracle error score: 0.014388640768227042
5.115 * [regime-testing]: End program error score: 0.014388640768227042