14.979 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.019 * * * [progress]: [2/2] Setting up program.
0.020 * [progress]: [Phase 2 of 3] Improving.
0.020 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.020 * [simplify]: Sending expressions to egg_math:
 (+ (* h0 h0) (* h1 h1))
0.023 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.024 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.025 * * [progress]: iteration 1 / 4
0.025 * * * [progress]: picking best candidate
0.026 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.026 * * * [progress]: localizing error
0.030 * * * [progress]: generating rewritten candidates
0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.038 * * * [progress]: generating series expansions
0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.039 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.039 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.039 * [taylor]: Taking taylor expansion of x in y
0.039 * [backup-simplify]: Simplify x into x
0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 1 into 1
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.039 * [taylor]: Taking taylor expansion of x in x
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 1 into 1
0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.039 * [taylor]: Taking taylor expansion of y in x
0.039 * [backup-simplify]: Simplify y into y
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.039 * [taylor]: Taking taylor expansion of x in x
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 1 into 1
0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.039 * [taylor]: Taking taylor expansion of y in x
0.039 * [backup-simplify]: Simplify y into y
0.039 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.039 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 1 into 1
0.039 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.040 * [backup-simplify]: Simplify (+ 0 0) into 0
0.040 * [taylor]: Taking taylor expansion of 0 in y
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify (* 1 1) into 1
0.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.041 * [backup-simplify]: Simplify (+ 1 0) into 1
0.041 * [taylor]: Taking taylor expansion of 1 in y
0.041 * [backup-simplify]: Simplify 1 into 1
0.041 * [backup-simplify]: Simplify 1 into 1
0.041 * [backup-simplify]: Simplify 0 into 0
0.041 * [backup-simplify]: Simplify (* 1 1) into 1
0.041 * [backup-simplify]: Simplify 1 into 1
0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.042 * [backup-simplify]: Simplify (+ 0 0) into 0
0.042 * [taylor]: Taking taylor expansion of 0 in y
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.044 * [backup-simplify]: Simplify (+ 0 0) into 0
0.044 * [taylor]: Taking taylor expansion of 0 in y
0.044 * [backup-simplify]: Simplify 0 into 0
0.044 * [backup-simplify]: Simplify 0 into 0
0.044 * [backup-simplify]: Simplify 0 into 0
0.045 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.045 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.045 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.045 * [taylor]: Taking taylor expansion of x in y
0.045 * [backup-simplify]: Simplify x into x
0.045 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.045 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.045 * [taylor]: Taking taylor expansion of y in y
0.045 * [backup-simplify]: Simplify 0 into 0
0.045 * [backup-simplify]: Simplify 1 into 1
0.045 * [backup-simplify]: Simplify (* 1 1) into 1
0.045 * [backup-simplify]: Simplify (/ 1 1) into 1
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.046 * [taylor]: Taking taylor expansion of x in x
0.046 * [backup-simplify]: Simplify 0 into 0
0.046 * [backup-simplify]: Simplify 1 into 1
0.046 * [backup-simplify]: Simplify (* 1 1) into 1
0.046 * [backup-simplify]: Simplify (/ 1 1) into 1
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.046 * [taylor]: Taking taylor expansion of y in x
0.046 * [backup-simplify]: Simplify y into y
0.046 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.046 * [taylor]: Taking taylor expansion of x in x
0.046 * [backup-simplify]: Simplify 0 into 0
0.046 * [backup-simplify]: Simplify 1 into 1
0.047 * [backup-simplify]: Simplify (* 1 1) into 1
0.047 * [backup-simplify]: Simplify (/ 1 1) into 1
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.047 * [taylor]: Taking taylor expansion of y in x
0.047 * [backup-simplify]: Simplify y into y
0.047 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.048 * [backup-simplify]: Simplify (+ 1 0) into 1
0.048 * [taylor]: Taking taylor expansion of 1 in y
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.049 * [backup-simplify]: Simplify (+ 0 0) into 0
0.049 * [taylor]: Taking taylor expansion of 0 in y
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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 (* 1 1) into 1
0.050 * [backup-simplify]: Simplify (/ 1 1) into 1
0.050 * [backup-simplify]: Simplify 1 into 1
0.050 * [backup-simplify]: Simplify 1 into 1
0.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [taylor]: Taking taylor expansion of 0 in y
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.057 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.057 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.057 * [taylor]: Taking taylor expansion of x in y
0.057 * [backup-simplify]: Simplify x into x
0.057 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.057 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.057 * [taylor]: Taking taylor expansion of y in y
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [backup-simplify]: Simplify (* 1 1) into 1
0.057 * [backup-simplify]: Simplify (/ 1 1) into 1
0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.057 * [taylor]: Taking taylor expansion of x in x
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (* 1 1) into 1
0.058 * [backup-simplify]: Simplify (/ 1 1) into 1
0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.058 * [taylor]: Taking taylor expansion of y in x
0.058 * [backup-simplify]: Simplify y into y
0.058 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.058 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.058 * [taylor]: Taking taylor expansion of x in x
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (* 1 1) into 1
0.059 * [backup-simplify]: Simplify (/ 1 1) into 1
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.059 * [taylor]: Taking taylor expansion of y in x
0.059 * [backup-simplify]: Simplify y into y
0.059 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.059 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.059 * [backup-simplify]: Simplify (+ 1 0) into 1
0.059 * [taylor]: Taking taylor expansion of 1 in y
0.059 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [taylor]: Taking taylor expansion of 0 in y
0.060 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.062 * [taylor]: Taking taylor expansion of y in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (* 1 1) into 1
0.062 * [backup-simplify]: Simplify (/ 1 1) into 1
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify 1 into 1
0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [taylor]: Taking taylor expansion of 0 in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.068 * * * [progress]: simplifying candidates
0.068 * [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 x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.069 * [simplify]: Sending expressions to egg_math:
 (* (exp (* h0 h0)) (exp (* h1 h1)))
 (log (+ (* h0 h0) (* h1 h1)))
 (exp (+ (* h0 h0) (* h1 h1)))
 (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))
 (cbrt (+ (* h0 h0) (* h1 h1)))
 (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))
 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))
 (- (* h0 h0) (* h1 h1))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
0.071 * * [simplify]: iteration  0 :  101  enodes  (cost  77 )
0.075 * * [simplify]: iteration  1 :  465  enodes  (cost  66 )
0.082 * * [simplify]: iteration  2 :  1240  enodes  (cost  66 )
0.112 * * [simplify]: iteration  3 :  5001  enodes  (cost  66 )
0.113 * * * [progress]: adding candidates to table
0.140 * * [progress]: iteration 2 / 4
0.141 * * * [progress]: picking best candidate
0.142 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
0.142 * * * [progress]: localizing error
0.149 * * * [progress]: generating rewritten candidates
0.149 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.164 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.207 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.218 * * * [progress]: generating series expansions
0.218 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.219 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.219 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.219 * [taylor]: Taking taylor expansion of x in y
0.219 * [backup-simplify]: Simplify x into x
0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.219 * [taylor]: Taking taylor expansion of y in y
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.219 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.219 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.219 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.220 * [taylor]: Taking taylor expansion of x in x
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.220 * [taylor]: Taking taylor expansion of y in x
0.220 * [backup-simplify]: Simplify y into y
0.220 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.220 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.220 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.220 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.221 * [taylor]: Taking taylor expansion of x in x
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.221 * [taylor]: Taking taylor expansion of y in x
0.221 * [backup-simplify]: Simplify y into y
0.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.221 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.221 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.221 * [taylor]: Taking taylor expansion of y in y
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [taylor]: Taking taylor expansion of 0 in y
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.222 * [backup-simplify]: Simplify (+ 1 0) into 1
0.223 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.223 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.223 * [taylor]: Taking taylor expansion of 1/2 in y
0.223 * [backup-simplify]: Simplify 1/2 into 1/2
0.223 * [taylor]: Taking taylor expansion of y in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.225 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in y
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.226 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.226 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.226 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.226 * [taylor]: Taking taylor expansion of x in y
0.226 * [backup-simplify]: Simplify x into x
0.226 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.226 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.226 * [taylor]: Taking taylor expansion of y in y
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (* 1 1) into 1
0.227 * [backup-simplify]: Simplify (/ 1 1) into 1
0.227 * [backup-simplify]: Simplify (+ 0 1) into 1
0.227 * [backup-simplify]: Simplify (sqrt 1) into 1
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.229 * [taylor]: Taking taylor expansion of x in x
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (* 1 1) into 1
0.229 * [backup-simplify]: Simplify (/ 1 1) into 1
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.229 * [taylor]: Taking taylor expansion of y in x
0.229 * [backup-simplify]: Simplify y into y
0.229 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.229 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.230 * [backup-simplify]: Simplify (+ 1 0) into 1
0.230 * [backup-simplify]: Simplify (sqrt 1) into 1
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.231 * [taylor]: Taking taylor expansion of x in x
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.232 * [taylor]: Taking taylor expansion of y in x
0.232 * [backup-simplify]: Simplify y into y
0.232 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.232 * [backup-simplify]: Simplify (+ 1 0) into 1
0.232 * [backup-simplify]: Simplify (sqrt 1) into 1
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.234 * [taylor]: Taking taylor expansion of 1 in y
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [taylor]: Taking taylor expansion of 0 in y
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.236 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.236 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.236 * [taylor]: Taking taylor expansion of 1/2 in y
0.236 * [backup-simplify]: Simplify 1/2 into 1/2
0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.236 * [taylor]: Taking taylor expansion of y in y
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.240 * [taylor]: Taking taylor expansion of 0 in y
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.241 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.241 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.241 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.241 * [taylor]: Taking taylor expansion of x in y
0.241 * [backup-simplify]: Simplify x into x
0.241 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.241 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.241 * [taylor]: Taking taylor expansion of y in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (* 1 1) into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [backup-simplify]: Simplify (+ 0 1) into 1
0.243 * [backup-simplify]: Simplify (sqrt 1) into 1
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (* 1 1) into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.248 * [taylor]: Taking taylor expansion of y in x
0.248 * [backup-simplify]: Simplify y into y
0.248 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.249 * [backup-simplify]: Simplify (+ 1 0) into 1
0.249 * [backup-simplify]: Simplify (sqrt 1) into 1
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.251 * [taylor]: Taking taylor expansion of y in x
0.251 * [backup-simplify]: Simplify y into y
0.251 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.251 * [backup-simplify]: Simplify (+ 1 0) into 1
0.252 * [backup-simplify]: Simplify (sqrt 1) into 1
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.253 * [taylor]: Taking taylor expansion of 1 in y
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [taylor]: Taking taylor expansion of 0 in y
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.255 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.255 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.255 * [taylor]: Taking taylor expansion of 1/2 in y
0.255 * [backup-simplify]: Simplify 1/2 into 1/2
0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.255 * [taylor]: Taking taylor expansion of y in y
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.259 * [taylor]: Taking taylor expansion of 0 in y
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.260 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.260 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.260 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.260 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.260 * [taylor]: Taking taylor expansion of x in y
0.260 * [backup-simplify]: Simplify x into x
0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.260 * [taylor]: Taking taylor expansion of y in y
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.260 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.261 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.261 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.261 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.261 * [taylor]: Taking taylor expansion of y in x
0.261 * [backup-simplify]: Simplify y into y
0.261 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.261 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.261 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.261 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [backup-simplify]: Simplify y into y
0.262 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.262 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.262 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.262 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.263 * [taylor]: Taking taylor expansion of y in y
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [taylor]: Taking taylor expansion of 0 in y
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.264 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.264 * [taylor]: Taking taylor expansion of 1/2 in y
0.264 * [backup-simplify]: Simplify 1/2 into 1/2
0.264 * [taylor]: Taking taylor expansion of y in y
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.266 * [taylor]: Taking taylor expansion of 0 in y
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.267 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.267 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.267 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.267 * [taylor]: Taking taylor expansion of x in y
0.267 * [backup-simplify]: Simplify x into x
0.267 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.267 * [taylor]: Taking taylor expansion of y in y
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.268 * [backup-simplify]: Simplify (sqrt 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.270 * [taylor]: Taking taylor expansion of x in x
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.270 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.271 * [taylor]: Taking taylor expansion of y in x
0.271 * [backup-simplify]: Simplify y into y
0.271 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.271 * [backup-simplify]: Simplify (+ 1 0) into 1
0.271 * [backup-simplify]: Simplify (sqrt 1) into 1
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.273 * [taylor]: Taking taylor expansion of y in x
0.273 * [backup-simplify]: Simplify y into y
0.273 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.273 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.274 * [backup-simplify]: Simplify (+ 1 0) into 1
0.274 * [backup-simplify]: Simplify (sqrt 1) into 1
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.276 * [taylor]: Taking taylor expansion of 1 in y
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of 0 in y
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.278 * [taylor]: Taking taylor expansion of 1/2 in y
0.278 * [backup-simplify]: Simplify 1/2 into 1/2
0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.281 * [taylor]: Taking taylor expansion of 0 in y
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.282 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.282 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.282 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.282 * [taylor]: Taking taylor expansion of x in y
0.282 * [backup-simplify]: Simplify x into x
0.283 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.283 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.283 * [taylor]: Taking taylor expansion of y in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.283 * [backup-simplify]: Simplify (+ 0 1) into 1
0.284 * [backup-simplify]: Simplify (sqrt 1) into 1
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.286 * [taylor]: Taking taylor expansion of y in x
0.286 * [backup-simplify]: Simplify y into y
0.286 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.286 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.286 * [backup-simplify]: Simplify (+ 1 0) into 1
0.286 * [backup-simplify]: Simplify (sqrt 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.288 * [taylor]: Taking taylor expansion of x in x
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.288 * [taylor]: Taking taylor expansion of y in x
0.288 * [backup-simplify]: Simplify y into y
0.288 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.289 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.289 * [backup-simplify]: Simplify (+ 1 0) into 1
0.289 * [backup-simplify]: Simplify (sqrt 1) into 1
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.291 * [taylor]: Taking taylor expansion of 1 in y
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of 0 in y
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.293 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.293 * [taylor]: Taking taylor expansion of 1/2 in y
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.293 * [taylor]: Taking taylor expansion of y in y
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.296 * [taylor]: Taking taylor expansion of 0 in y
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.297 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.297 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2))
0.298 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.298 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.298 * [taylor]: Taking taylor expansion of x in y
0.298 * [backup-simplify]: Simplify x into x
0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.298 * [taylor]: Taking taylor expansion of y in y
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.298 * [taylor]: Taking taylor expansion of y in x
0.298 * [backup-simplify]: Simplify y into y
0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.298 * [taylor]: Taking taylor expansion of y in x
0.298 * [backup-simplify]: Simplify y into y
0.298 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.298 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.298 * [taylor]: Taking taylor expansion of y in y
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in y
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.299 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [taylor]: Taking taylor expansion of 1 in y
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in y
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in y
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.303 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.303 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [backup-simplify]: Simplify x into x
0.303 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.303 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.304 * [taylor]: Taking taylor expansion of y in y
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.304 * [taylor]: Taking taylor expansion of x in x
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.305 * [taylor]: Taking taylor expansion of y in x
0.305 * [backup-simplify]: Simplify y into y
0.305 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.305 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.305 * [taylor]: Taking taylor expansion of y in x
0.305 * [backup-simplify]: Simplify y into y
0.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.306 * [backup-simplify]: Simplify (+ 1 0) into 1
0.306 * [taylor]: Taking taylor expansion of 1 in y
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [taylor]: Taking taylor expansion of 0 in y
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.308 * [taylor]: Taking taylor expansion of y in y
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* 1 1) into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in y
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [taylor]: Taking taylor expansion of 0 in y
0.313 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.315 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.315 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.315 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.315 * [taylor]: Taking taylor expansion of x in y
0.315 * [backup-simplify]: Simplify x into x
0.315 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.315 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.315 * [taylor]: Taking taylor expansion of y in y
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.316 * [taylor]: Taking taylor expansion of x in x
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.317 * [taylor]: Taking taylor expansion of y in x
0.317 * [backup-simplify]: Simplify y into y
0.317 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.317 * [taylor]: Taking taylor expansion of x in x
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.317 * [taylor]: Taking taylor expansion of y in x
0.317 * [backup-simplify]: Simplify y into y
0.317 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.318 * [backup-simplify]: Simplify (+ 1 0) into 1
0.318 * [taylor]: Taking taylor expansion of 1 in y
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.320 * [taylor]: Taking taylor expansion of y in y
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify (/ 1 1) into 1
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in y
0.322 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [taylor]: Taking taylor expansion of 0 in y
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.327 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.327 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.327 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.327 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.327 * [taylor]: Taking taylor expansion of x in y
0.327 * [backup-simplify]: Simplify x into x
0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.327 * [taylor]: Taking taylor expansion of y in y
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.327 * [taylor]: Taking taylor expansion of x in x
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.327 * [taylor]: Taking taylor expansion of y in x
0.327 * [backup-simplify]: Simplify y into y
0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.327 * [taylor]: Taking taylor expansion of x in x
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.327 * [taylor]: Taking taylor expansion of y in x
0.327 * [backup-simplify]: Simplify y into y
0.327 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.327 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.327 * [taylor]: Taking taylor expansion of y in y
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [taylor]: Taking taylor expansion of 0 in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.328 * [backup-simplify]: Simplify (+ 1 0) into 1
0.328 * [taylor]: Taking taylor expansion of 1 in y
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [taylor]: Taking taylor expansion of 0 in y
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.332 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in y
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.332 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.332 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.332 * [taylor]: Taking taylor expansion of x in y
0.332 * [backup-simplify]: Simplify x into x
0.332 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.333 * [taylor]: Taking taylor expansion of y in y
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.334 * [taylor]: Taking taylor expansion of y in x
0.334 * [backup-simplify]: Simplify y into y
0.334 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.334 * [taylor]: Taking taylor expansion of x in x
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.334 * [taylor]: Taking taylor expansion of y in x
0.334 * [backup-simplify]: Simplify y into y
0.334 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.335 * [backup-simplify]: Simplify (+ 1 0) into 1
0.335 * [taylor]: Taking taylor expansion of 1 in y
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in y
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.337 * [taylor]: Taking taylor expansion of y in y
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (* 1 1) into 1
0.338 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in y
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.346 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.346 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.346 * [taylor]: Taking taylor expansion of x in y
0.346 * [backup-simplify]: Simplify x into x
0.346 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.347 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.347 * [taylor]: Taking taylor expansion of y in y
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.347 * [taylor]: Taking taylor expansion of x in x
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.348 * [taylor]: Taking taylor expansion of y in x
0.348 * [backup-simplify]: Simplify y into y
0.348 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.348 * [taylor]: Taking taylor expansion of x in x
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.349 * [taylor]: Taking taylor expansion of y in x
0.349 * [backup-simplify]: Simplify y into y
0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.349 * [backup-simplify]: Simplify (+ 1 0) into 1
0.349 * [taylor]: Taking taylor expansion of 1 in y
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [taylor]: Taking taylor expansion of 0 in y
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.351 * [taylor]: Taking taylor expansion of y in y
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [taylor]: Taking taylor expansion of 0 in y
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [taylor]: Taking taylor expansion of 0 in y
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.357 * * * [progress]: simplifying candidates
0.359 * [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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))
  (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (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)) (* (* x x) (* y y))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (- (* x x) (* y y))) (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) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (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) (pow y 2))
0.359 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1)))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1)))
 (+ 1 1)
 (+ (log (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))))
 (log (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (exp (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (cbrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))))
 (cbrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1)))
 (sqrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))
 (* (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))
 (* (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))
 (* (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* h0 h0) (* h1 h1))))
 (* (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))
 (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))
 (* (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))
 (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))))
 (* (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* 1 1)
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt 1))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) 1)
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))
 (* (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (exp (* h0 h0)) (exp (* h1 h1)))
 (log (+ (* h0 h0) (* h1 h1)))
 (exp (+ (* h0 h0) (* h1 h1)))
 (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))
 (cbrt (+ (* h0 h0) (* h1 h1)))
 (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))
 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))
 (- (* h0 h0) (* h1 h1))
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
0.365 * * [simplify]: iteration  0 :  198  enodes  (cost  720 )
0.370 * * [simplify]: iteration  1 :  892  enodes  (cost  654 )
0.392 * * [simplify]: iteration  2 :  4766  enodes  (cost  634 )
0.565 * * [simplify]: iteration  3 :  5001  enodes  (cost  634 )
0.569 * * * [progress]: adding candidates to table
0.736 * [progress]: [Phase 3 of 3] Extracting.
0.736 * * [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)))>)
0.737 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
0.737 * * * * [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)))>)
0.746 * * * * [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)))>)
0.758 * * * * [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)))>)
0.768 * * * * [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)))>)
0.778 * * * * [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)))>)
0.788 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
0.788 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.788 * [simplify]: Sending expressions to egg_math:
 (+ (* h0 h0) (* h1 h1))
0.789 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.789 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
1.362 * [regime-testing]: Baseline error score: 0.005375671958994874
1.363 * [regime-testing]: Oracle error score: 0.004375546943367921
1.364 * [regime-testing]: End program error score: 0.005375671958994874