11.489 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.029 * [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
0.031 * * [simplify]: Extracting #0: cost 1 inf + 0
0.031 * * [simplify]: Extracting #1: cost 3 inf + 0
0.031 * * [simplify]: Extracting #2: cost 5 inf + 0
0.031 * * [simplify]: Extracting #3: cost 2 inf + 43
0.031 * * [simplify]: Extracting #4: cost 0 inf + 206
0.031 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.032 * * [progress]: iteration 1 / 4
0.032 * * * [progress]: picking best candidate
0.035 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.035 * * * [progress]: localizing error
0.042 * * * [progress]: generating rewritten candidates
0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.049 * * * [progress]: generating series expansions
0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.049 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.049 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.049 * [taylor]: Taking taylor expansion of y in y
0.049 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.050 * [taylor]: Taking taylor expansion of x in y
0.050 * [backup-simplify]: Simplify x into x
0.050 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.050 * [taylor]: Taking taylor expansion of y in x
0.050 * [backup-simplify]: Simplify y into y
0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.050 * [taylor]: Taking taylor expansion of x in x
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.050 * [taylor]: Taking taylor expansion of y in x
0.050 * [backup-simplify]: Simplify y into y
0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.050 * [taylor]: Taking taylor expansion of x in x
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.050 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.050 * [taylor]: Taking taylor expansion of y in y
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.051 * [backup-simplify]: Simplify (+ 0 0) into 0
0.051 * [taylor]: Taking taylor expansion of 0 in y
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.051 * [backup-simplify]: Simplify (* 1 1) into 1
0.059 * [backup-simplify]: Simplify (+ 0 1) into 1
0.059 * [taylor]: Taking taylor expansion of 1 in y
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (* 1 1) into 1
0.060 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [taylor]: Taking taylor expansion of 0 in y
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [taylor]: Taking taylor expansion of 0 in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.064 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.064 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.064 * [taylor]: Taking taylor expansion of y in y
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
0.064 * [backup-simplify]: Simplify (/ 1 1) into 1
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.065 * [taylor]: Taking taylor expansion of x in y
0.065 * [backup-simplify]: Simplify x into x
0.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [backup-simplify]: Simplify y into y
0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.067 * [backup-simplify]: Simplify (+ 0 1) into 1
0.067 * [taylor]: Taking taylor expansion of 1 in y
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.069 * [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
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [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
0.072 * [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
0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.074 * [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
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.081 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.081 * [taylor]: Taking taylor expansion of y in y
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (* 1 1) into 1
0.082 * [backup-simplify]: Simplify (/ 1 1) into 1
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.083 * [taylor]: Taking taylor expansion of x in y
0.083 * [backup-simplify]: Simplify x into x
0.083 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.083 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [backup-simplify]: Simplify y into y
0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
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
0.084 * [backup-simplify]: Simplify (/ 1 1) into 1
0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.084 * [backup-simplify]: Simplify y into y
0.084 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.084 * [taylor]: Taking taylor expansion of x in x
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.085 * [backup-simplify]: Simplify (+ 0 1) into 1
0.085 * [taylor]: Taking taylor expansion of 1 in y
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.094 * * * [progress]: simplifying candidates
0.094 * [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))
0.095 * * [simplify]: iteration 0: 30 enodes
0.106 * * [simplify]: iteration 1: 100 enodes
0.157 * * [simplify]: iteration 2: 342 enodes
0.320 * * [simplify]: iteration 3: 1477 enodes
1.371 * * [simplify]: iteration complete: 5000 enodes
1.371 * * [simplify]: Extracting #0: cost 11 inf + 0
1.372 * * [simplify]: Extracting #1: cost 214 inf + 0
1.376 * * [simplify]: Extracting #2: cost 1361 inf + 1
1.390 * * [simplify]: Extracting #3: cost 1890 inf + 14317
1.430 * * [simplify]: Extracting #4: cost 806 inf + 183298
1.512 * * [simplify]: Extracting #5: cost 108 inf + 334399
1.591 * * [simplify]: Extracting #6: cost 14 inf + 347583
1.681 * * [simplify]: Extracting #7: cost 0 inf + 351605
1.744 * [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))
1.744 * * * [progress]: adding candidates to table
1.784 * * [progress]: iteration 2 / 4
1.784 * * * [progress]: picking best candidate
1.787 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
1.787 * * * [progress]: localizing error
1.804 * * * [progress]: generating rewritten candidates
1.804 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.812 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.820 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
1.833 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
1.843 * * * [progress]: generating series expansions
1.843 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.844 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.844 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.844 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
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 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.844 * [taylor]: Taking taylor expansion of x in y
1.844 * [backup-simplify]: Simplify x into x
1.844 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.844 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.844 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.844 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.845 * [backup-simplify]: Simplify (+ 0 0) into 0
1.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.845 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.845 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.845 * [taylor]: Taking taylor expansion of y in x
1.845 * [backup-simplify]: Simplify y into y
1.845 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.845 * [taylor]: Taking taylor expansion of x in x
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify 1 into 1
1.845 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.845 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.846 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.846 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.846 * [backup-simplify]: Simplify (+ 0 0) into 0
1.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.846 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.846 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.846 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.846 * [taylor]: Taking taylor expansion of y in x
1.846 * [backup-simplify]: Simplify y into y
1.846 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.846 * [taylor]: Taking taylor expansion of x in x
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 1 into 1
1.846 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.847 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.847 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.847 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.847 * [taylor]: Taking taylor expansion of y in y
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 1 into 1
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [taylor]: Taking taylor expansion of 0 in y
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 1 into 1
1.848 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.848 * [backup-simplify]: Simplify (* 1 1) into 1
1.849 * [backup-simplify]: Simplify (+ 0 1) into 1
1.849 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.849 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.849 * [taylor]: Taking taylor expansion of 1/2 in y
1.849 * [backup-simplify]: Simplify 1/2 into 1/2
1.849 * [taylor]: Taking taylor expansion of y in y
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.852 * [taylor]: Taking taylor expansion of 0 in y
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.854 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.854 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.854 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.854 * [taylor]: Taking taylor expansion of y in y
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [backup-simplify]: Simplify 1 into 1
1.854 * [backup-simplify]: Simplify (* 1 1) into 1
1.854 * [backup-simplify]: Simplify (/ 1 1) into 1
1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.854 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.855 * [taylor]: Taking taylor expansion of x in y
1.855 * [backup-simplify]: Simplify x into x
1.855 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.855 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.855 * [backup-simplify]: Simplify (+ 1 0) into 1
1.855 * [backup-simplify]: Simplify (sqrt 1) into 1
1.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.857 * [backup-simplify]: Simplify (+ 0 0) into 0
1.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.858 * [taylor]: Taking taylor expansion of y in x
1.858 * [backup-simplify]: Simplify y into y
1.858 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.858 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.858 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.858 * [taylor]: Taking taylor expansion of x in x
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify 1 into 1
1.858 * [backup-simplify]: Simplify (* 1 1) into 1
1.858 * [backup-simplify]: Simplify (/ 1 1) into 1
1.859 * [backup-simplify]: Simplify (+ 0 1) into 1
1.859 * [backup-simplify]: Simplify (sqrt 1) into 1
1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.861 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.861 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.861 * [taylor]: Taking taylor expansion of y in x
1.861 * [backup-simplify]: Simplify y into y
1.861 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.861 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.861 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.861 * [taylor]: Taking taylor expansion of x in x
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [backup-simplify]: Simplify (* 1 1) into 1
1.862 * [backup-simplify]: Simplify (/ 1 1) into 1
1.862 * [backup-simplify]: Simplify (+ 0 1) into 1
1.863 * [backup-simplify]: Simplify (sqrt 1) into 1
1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.865 * [taylor]: Taking taylor expansion of 1 in y
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [taylor]: Taking taylor expansion of 0 in y
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.866 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.868 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.868 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.868 * [taylor]: Taking taylor expansion of 1/2 in y
1.868 * [backup-simplify]: Simplify 1/2 into 1/2
1.868 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.868 * [taylor]: Taking taylor expansion of y in y
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 1 into 1
1.868 * [backup-simplify]: Simplify (* 1 1) into 1
1.869 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.872 * [backup-simplify]: Simplify (+ 0 0) into 0
1.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.873 * [taylor]: Taking taylor expansion of 0 in y
1.873 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.874 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.875 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.875 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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 1) into 1
1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.876 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.876 * [taylor]: Taking taylor expansion of x in y
1.876 * [backup-simplify]: Simplify x into x
1.876 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.876 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.876 * [backup-simplify]: Simplify (+ 1 0) into 1
1.877 * [backup-simplify]: Simplify (sqrt 1) into 1
1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.878 * [backup-simplify]: Simplify (+ 0 0) into 0
1.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.879 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.879 * [taylor]: Taking taylor expansion of y in x
1.879 * [backup-simplify]: Simplify y into y
1.879 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.879 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.879 * [taylor]: Taking taylor expansion of x in x
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.879 * [backup-simplify]: Simplify (* 1 1) into 1
1.880 * [backup-simplify]: Simplify (/ 1 1) into 1
1.880 * [backup-simplify]: Simplify (+ 0 1) into 1
1.880 * [backup-simplify]: Simplify (sqrt 1) into 1
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.883 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.883 * [taylor]: Taking taylor expansion of y in x
1.883 * [backup-simplify]: Simplify y into y
1.883 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.883 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.883 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.883 * [taylor]: Taking taylor expansion of x in x
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [backup-simplify]: Simplify (* 1 1) into 1
1.884 * [backup-simplify]: Simplify (/ 1 1) into 1
1.884 * [backup-simplify]: Simplify (+ 0 1) into 1
1.884 * [backup-simplify]: Simplify (sqrt 1) into 1
1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.886 * [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 1 in y
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [taylor]: Taking taylor expansion of 0 in y
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 1 into 1
1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.888 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.889 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.889 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.889 * [taylor]: Taking taylor expansion of 1/2 in y
1.889 * [backup-simplify]: Simplify 1/2 into 1/2
1.889 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.889 * [taylor]: Taking taylor expansion of y in y
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 1 into 1
1.890 * [backup-simplify]: Simplify (* 1 1) into 1
1.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.894 * [taylor]: Taking taylor expansion of 0 in y
1.894 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.896 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.896 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.896 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.896 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
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 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.896 * [taylor]: Taking taylor expansion of x in y
1.896 * [backup-simplify]: Simplify x into x
1.896 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.897 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.897 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.897 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.897 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.897 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.897 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.897 * [taylor]: Taking taylor expansion of y in x
1.897 * [backup-simplify]: Simplify y into y
1.897 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.897 * [taylor]: Taking taylor expansion of x in x
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 1 into 1
1.898 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.898 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.898 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.898 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.898 * [backup-simplify]: Simplify (+ 0 0) into 0
1.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.898 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.898 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.898 * [taylor]: Taking taylor expansion of y in x
1.898 * [backup-simplify]: Simplify y into y
1.899 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.899 * [taylor]: Taking taylor expansion of x in x
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 1 into 1
1.899 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.899 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.899 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.899 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.899 * [backup-simplify]: Simplify (+ 0 0) into 0
1.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.899 * [taylor]: Taking taylor expansion of y in y
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 1 into 1
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [taylor]: Taking taylor expansion of 0 in y
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 1 into 1
1.900 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.900 * [backup-simplify]: Simplify (* 1 1) into 1
1.901 * [backup-simplify]: Simplify (+ 0 1) into 1
1.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.901 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.901 * [taylor]: Taking taylor expansion of 1/2 in y
1.902 * [backup-simplify]: Simplify 1/2 into 1/2
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
1.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.904 * [backup-simplify]: Simplify (+ 0 0) into 0
1.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.904 * [taylor]: Taking taylor expansion of 0 in y
1.904 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.906 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.906 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.906 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.906 * [taylor]: Taking taylor expansion of y in y
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (* 1 1) into 1
1.906 * [backup-simplify]: Simplify (/ 1 1) into 1
1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.907 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.907 * [taylor]: Taking taylor expansion of x in y
1.907 * [backup-simplify]: Simplify x into x
1.907 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.907 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.907 * [backup-simplify]: Simplify (+ 1 0) into 1
1.907 * [backup-simplify]: Simplify (sqrt 1) into 1
1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.910 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.910 * [taylor]: Taking taylor expansion of y in x
1.910 * [backup-simplify]: Simplify y into y
1.910 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.910 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.910 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.910 * [taylor]: Taking taylor expansion of x in x
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
1.910 * [backup-simplify]: Simplify (/ 1 1) into 1
1.911 * [backup-simplify]: Simplify (+ 0 1) into 1
1.911 * [backup-simplify]: Simplify (sqrt 1) into 1
1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.913 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.913 * [taylor]: Taking taylor expansion of y in x
1.913 * [backup-simplify]: Simplify y into y
1.913 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.913 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.913 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.914 * [taylor]: Taking taylor expansion of x in x
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (* 1 1) into 1
1.914 * [backup-simplify]: Simplify (/ 1 1) into 1
1.915 * [backup-simplify]: Simplify (+ 0 1) into 1
1.915 * [backup-simplify]: Simplify (sqrt 1) into 1
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify (+ 0 0) into 0
1.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.917 * [taylor]: Taking taylor expansion of 1 in y
1.917 * [backup-simplify]: Simplify 1 into 1
1.917 * [taylor]: Taking taylor expansion of 0 in y
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 1 into 1
1.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.919 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.919 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.919 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.919 * [taylor]: Taking taylor expansion of 1/2 in y
1.919 * [backup-simplify]: Simplify 1/2 into 1/2
1.920 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.920 * [taylor]: Taking taylor expansion of y in y
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 1 into 1
1.920 * [backup-simplify]: Simplify (* 1 1) into 1
1.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) 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 (- (/ 0 1) (+ (* 1/2 (/ 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 (* 1 (/ 1 (/ 1 x)))) into x
1.924 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.924 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.924 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.924 * [taylor]: Taking taylor expansion of y in y
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [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
1.925 * [backup-simplify]: Simplify x into x
1.925 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.925 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.925 * [backup-simplify]: Simplify (+ 1 0) into 1
1.926 * [backup-simplify]: Simplify (sqrt 1) into 1
1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.928 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.928 * [taylor]: Taking taylor expansion of y in x
1.928 * [backup-simplify]: Simplify y into y
1.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.928 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.928 * [taylor]: Taking taylor expansion of x in x
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (* 1 1) into 1
1.929 * [backup-simplify]: Simplify (/ 1 1) into 1
1.929 * [backup-simplify]: Simplify (+ 0 1) into 1
1.929 * [backup-simplify]: Simplify (sqrt 1) into 1
1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.932 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.932 * [taylor]: Taking taylor expansion of y in x
1.932 * [backup-simplify]: Simplify y into y
1.932 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.932 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.932 * [taylor]: Taking taylor expansion of x in x
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (* 1 1) into 1
1.933 * [backup-simplify]: Simplify (/ 1 1) into 1
1.933 * [backup-simplify]: Simplify (+ 0 1) into 1
1.933 * [backup-simplify]: Simplify (sqrt 1) into 1
1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.935 * [backup-simplify]: Simplify (+ 0 0) into 0
1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.935 * [taylor]: Taking taylor expansion of 1 in y
1.935 * [backup-simplify]: Simplify 1 into 1
1.935 * [taylor]: Taking taylor expansion of 0 in y
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 1 into 1
1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.937 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.938 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.938 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.938 * [taylor]: Taking taylor expansion of 1/2 in y
1.938 * [backup-simplify]: Simplify 1/2 into 1/2
1.938 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.938 * [taylor]: Taking taylor expansion of y in y
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (* 1 1) into 1
1.939 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.942 * [backup-simplify]: Simplify (+ 0 0) into 0
1.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.945 * [taylor]: Taking taylor expansion of 0 in y
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.946 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
1.946 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.946 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.946 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.946 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.946 * [taylor]: Taking taylor expansion of y in y
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.946 * [taylor]: Taking taylor expansion of x in y
1.946 * [backup-simplify]: Simplify x into x
1.946 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.947 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.947 * [taylor]: Taking taylor expansion of y in x
1.947 * [backup-simplify]: Simplify y into y
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 (* y y) into (pow y 2)
1.947 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.947 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.947 * [taylor]: Taking taylor expansion of y in y
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [taylor]: Taking taylor expansion of 0 in y
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.948 * [backup-simplify]: Simplify (* 1 1) into 1
1.948 * [backup-simplify]: Simplify (+ 0 1) into 1
1.948 * [taylor]: Taking taylor expansion of 1 in y
1.948 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify (* 1 1) into 1
1.948 * [backup-simplify]: Simplify 1 into 1
1.949 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.951 * [taylor]: Taking taylor expansion of 0 in y
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.952 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.952 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.952 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.952 * [taylor]: Taking taylor expansion of y in y
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.952 * [backup-simplify]: Simplify (* 1 1) into 1
1.952 * [backup-simplify]: Simplify (/ 1 1) into 1
1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.952 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.952 * [taylor]: Taking taylor expansion of x in y
1.952 * [backup-simplify]: Simplify x into x
1.952 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.953 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.953 * [taylor]: Taking taylor expansion of y in x
1.953 * [backup-simplify]: Simplify y into y
1.953 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.953 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.953 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.953 * [taylor]: Taking taylor expansion of x in x
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (* 1 1) into 1
1.953 * [backup-simplify]: Simplify (/ 1 1) into 1
1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.953 * [taylor]: Taking taylor expansion of y in x
1.953 * [backup-simplify]: Simplify y into y
1.953 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.954 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.954 * [taylor]: Taking taylor expansion of x in x
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 1 into 1
1.954 * [backup-simplify]: Simplify (* 1 1) into 1
1.954 * [backup-simplify]: Simplify (/ 1 1) into 1
1.955 * [backup-simplify]: Simplify (+ 0 1) into 1
1.955 * [taylor]: Taking taylor expansion of 1 in y
1.955 * [backup-simplify]: Simplify 1 into 1
1.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.956 * [taylor]: Taking taylor expansion of 0 in y
1.956 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.958 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.958 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.958 * [taylor]: Taking taylor expansion of y in y
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
1.959 * [backup-simplify]: Simplify (/ 1 1) into 1
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [taylor]: Taking taylor expansion of 0 in y
1.961 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 1))) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.965 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.965 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.965 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.965 * [taylor]: Taking taylor expansion of y in y
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.966 * [backup-simplify]: Simplify (* 1 1) into 1
1.966 * [backup-simplify]: Simplify (/ 1 1) into 1
1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.966 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.966 * [taylor]: Taking taylor expansion of x in y
1.966 * [backup-simplify]: Simplify x into x
1.966 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.966 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.966 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.966 * [taylor]: Taking taylor expansion of y in x
1.966 * [backup-simplify]: Simplify y into y
1.966 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.966 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.966 * [taylor]: Taking taylor expansion of x in x
1.966 * [backup-simplify]: Simplify 0 into 0
1.966 * [backup-simplify]: Simplify 1 into 1
1.967 * [backup-simplify]: Simplify (* 1 1) into 1
1.967 * [backup-simplify]: Simplify (/ 1 1) into 1
1.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.967 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.967 * [taylor]: Taking taylor expansion of y in x
1.967 * [backup-simplify]: Simplify y into y
1.967 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.967 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.967 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.967 * [taylor]: Taking taylor expansion of x in x
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [backup-simplify]: Simplify (* 1 1) into 1
1.968 * [backup-simplify]: Simplify (/ 1 1) into 1
1.968 * [backup-simplify]: Simplify (+ 0 1) into 1
1.968 * [taylor]: Taking taylor expansion of 1 in y
1.968 * [backup-simplify]: Simplify 1 into 1
1.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [taylor]: Taking taylor expansion of 0 in y
1.969 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.970 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.970 * [taylor]: Taking taylor expansion of y in y
1.970 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify (* 1 1) into 1
1.971 * [backup-simplify]: Simplify (/ 1 1) into 1
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [taylor]: Taking taylor expansion of 0 in y
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.975 * [backup-simplify]: Simplify (+ 0 0) into 0
1.975 * [taylor]: Taking taylor expansion of 0 in y
1.975 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.977 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
1.977 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.977 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.977 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.977 * [taylor]: Taking taylor expansion of y in y
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.977 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.977 * [taylor]: Taking taylor expansion of x in y
1.977 * [backup-simplify]: Simplify x into x
1.977 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.977 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.977 * [taylor]: Taking taylor expansion of y in x
1.977 * [backup-simplify]: Simplify y into y
1.977 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.977 * [taylor]: Taking taylor expansion of x in x
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.977 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.977 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.977 * [taylor]: Taking taylor expansion of y in x
1.977 * [backup-simplify]: Simplify y into y
1.977 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.977 * [taylor]: Taking taylor expansion of x in x
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.977 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.977 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.978 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.978 * [taylor]: Taking taylor expansion of y in y
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.978 * [backup-simplify]: Simplify (+ 0 0) into 0
1.978 * [taylor]: Taking taylor expansion of 0 in y
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.978 * [backup-simplify]: Simplify (* 1 1) into 1
1.979 * [backup-simplify]: Simplify (+ 0 1) into 1
1.979 * [taylor]: Taking taylor expansion of 1 in y
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify (* 1 1) into 1
1.979 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.980 * [backup-simplify]: Simplify (+ 0 0) into 0
1.980 * [taylor]: Taking taylor expansion of 0 in y
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.982 * [taylor]: Taking taylor expansion of 0 in y
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.983 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.983 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.983 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.983 * [taylor]: Taking taylor expansion of y in y
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (* 1 1) into 1
1.983 * [backup-simplify]: Simplify (/ 1 1) into 1
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.983 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.983 * [taylor]: Taking taylor expansion of x in y
1.983 * [backup-simplify]: Simplify x into x
1.983 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.983 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.983 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.983 * [taylor]: Taking taylor expansion of y in x
1.983 * [backup-simplify]: Simplify y into y
1.983 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.984 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.984 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.984 * [taylor]: Taking taylor expansion of x in x
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (* 1 1) into 1
1.984 * [backup-simplify]: Simplify (/ 1 1) into 1
1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.984 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.984 * [taylor]: Taking taylor expansion of y in x
1.984 * [backup-simplify]: Simplify y into y
1.984 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.984 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.984 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.984 * [taylor]: Taking taylor expansion of x in x
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.985 * [backup-simplify]: Simplify (* 1 1) into 1
1.985 * [backup-simplify]: Simplify (/ 1 1) into 1
1.985 * [backup-simplify]: Simplify (+ 0 1) into 1
1.985 * [taylor]: Taking taylor expansion of 1 in y
1.985 * [backup-simplify]: Simplify 1 into 1
1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.986 * [backup-simplify]: Simplify (+ 0 0) into 0
1.986 * [taylor]: Taking taylor expansion of 0 in y
1.986 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.987 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.987 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.987 * [taylor]: Taking taylor expansion of y in y
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify (* 1 1) into 1
1.988 * [backup-simplify]: Simplify (/ 1 1) into 1
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [taylor]: Taking taylor expansion of 0 in y
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [taylor]: Taking taylor expansion of 0 in y
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.994 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.994 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.994 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.994 * [taylor]: Taking taylor expansion of y in y
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (* 1 1) into 1
1.995 * [backup-simplify]: Simplify (/ 1 1) into 1
1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.995 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.995 * [taylor]: Taking taylor expansion of x in y
1.995 * [backup-simplify]: Simplify x into x
1.995 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.995 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.995 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.995 * [taylor]: Taking taylor expansion of y in x
1.995 * [backup-simplify]: Simplify y into y
1.995 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.995 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.995 * [taylor]: Taking taylor expansion of x in x
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (* 1 1) into 1
1.996 * [backup-simplify]: Simplify (/ 1 1) into 1
1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.996 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.996 * [taylor]: Taking taylor expansion of y in x
1.996 * [backup-simplify]: Simplify y into y
1.996 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.996 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.996 * [taylor]: Taking taylor expansion of x in x
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 1 into 1
1.996 * [backup-simplify]: Simplify (* 1 1) into 1
1.996 * [backup-simplify]: Simplify (/ 1 1) into 1
1.997 * [backup-simplify]: Simplify (+ 0 1) into 1
1.997 * [taylor]: Taking taylor expansion of 1 in y
1.997 * [backup-simplify]: Simplify 1 into 1
1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [taylor]: Taking taylor expansion of 0 in y
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.999 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.999 * [taylor]: Taking taylor expansion of y in y
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (* 1 1) into 1
2.000 * [backup-simplify]: Simplify (/ 1 1) into 1
2.000 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.001 * [taylor]: Taking taylor expansion of 0 in y
2.001 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [taylor]: Taking taylor expansion of 0 in y
2.004 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.005 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
2.006 * * * [progress]: simplifying candidates
2.006 * [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))
2.007 * * [simplify]: iteration 0: 48 enodes
2.017 * * [simplify]: iteration 1: 127 enodes
2.065 * * [simplify]: iteration 2: 372 enodes
2.275 * * [simplify]: iteration 3: 1559 enodes
3.369 * * [simplify]: iteration complete: 5000 enodes
3.369 * * [simplify]: Extracting #0: cost 28 inf + 0
3.370 * * [simplify]: Extracting #1: cost 178 inf + 4
3.378 * * [simplify]: Extracting #2: cost 1293 inf + 3551
3.399 * * [simplify]: Extracting #3: cost 1187 inf + 74846
3.458 * * [simplify]: Extracting #4: cost 304 inf + 241403
3.534 * * [simplify]: Extracting #5: cost 38 inf + 306021
3.623 * * [simplify]: Extracting #6: cost 3 inf + 314640
3.699 * * [simplify]: Extracting #7: cost 0 inf + 315519
3.774 * [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))
3.779 * * * [progress]: adding candidates to table
4.044 * [progress]: [Phase 3 of 3] Extracting.
4.044 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
4.044 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
4.044 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
4.069 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
4.092 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
4.118 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
4.142 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (+ (* x x) (* y y)))>)
4.169 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
4.169 * [simplify]: Simplifying:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.169 * * [simplify]: iteration 0: 7 enodes
4.169 * * [simplify]: iteration 1: 8 enodes
4.170 * * [simplify]: iteration complete: 8 enodes
4.170 * * [simplify]: Extracting #0: cost 1 inf + 0
4.170 * * [simplify]: Extracting #1: cost 2 inf + 0
4.170 * * [simplify]: Extracting #2: cost 3 inf + 0
4.170 * * [simplify]: Extracting #3: cost 5 inf + 0
4.170 * * [simplify]: Extracting #4: cost 7 inf + 0
4.170 * * [simplify]: Extracting #5: cost 4 inf + 43
4.170 * * [simplify]: Extracting #6: cost 0 inf + 570
4.170 * [simplify]: Simplified to:
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.446 * [regime-testing]: Baseline error score: 0.013775406302049781
5.457 * [regime-testing]: Oracle error score: 0.005000625078134767
5.480 * [regime-testing]: End program error score: 0.013775406302049781