22.690 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.014 * * * [progress]: [2/2] Setting up program.
0.016 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.017 * * [simplify]: Extracting # 0 : cost  0
0.017 * * [simplify]: Extracting # 1 : cost  0
0.017 * * [simplify]: Extracting # 2 : cost  0
0.017 * * [simplify]: Extracting # 3 : cost  0
0.017 * * [simplify]: Extracting # 4 : cost  0
0.017 * * [simplify]: Extracting # 5 : cost  0
0.017 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
0.018 * * [simplify]: Extracting # 0 : cost  0
0.018 * * [simplify]: iteration  1 :  7  enodes  (cost  8 )
0.020 * * [simplify]: Extracting # 0 : cost  0
0.020 * * [simplify]: iteration done:  7  enodes  (cost  8 )
0.020 * [simplify]: Simplified to:
  (sqrt (+ (* x x) (* y y)))
0.020 * * [progress]: iteration 1 / 4
0.020 * * * [progress]: picking best candidate
0.023 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.023 * * * [progress]: localizing error
0.033 * * * [progress]: generating rewritten candidates
0.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.041 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.050 * * * [progress]: generating series expansions
0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.050 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.050 * [taylor]: Taking taylor expansion of x in y
0.050 * [backup-simplify]: Simplify x into x
0.050 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* x x) into (pow x 2)
0.050 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.050 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.050 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.057 * [taylor]: Taking taylor expansion of y in x
0.057 * [backup-simplify]: Simplify y into y
0.057 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.057 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.057 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 * [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 (+ 0 (pow y 2)) into (pow y 2)
0.058 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.059 * [taylor]: Taking taylor expansion of y in y
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [taylor]: Taking taylor expansion of 0 in y
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (* 1 1) into 1
0.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.060 * [backup-simplify]: Simplify (+ 1 0) into 1
0.060 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.060 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.060 * [taylor]: Taking taylor expansion of 1/2 in y
0.060 * [backup-simplify]: Simplify 1/2 into 1/2
0.060 * [taylor]: Taking taylor expansion of y in y
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.061 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.063 * [taylor]: Taking taylor expansion of 0 in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.064 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.064 * [taylor]: Taking taylor expansion of x in y
0.064 * [backup-simplify]: Simplify x into x
0.064 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.064 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.065 * [backup-simplify]: Simplify (* 1 1) into 1
0.065 * [backup-simplify]: Simplify (/ 1 1) into 1
0.065 * [backup-simplify]: Simplify (+ 0 1) into 1
0.065 * [backup-simplify]: Simplify (sqrt 1) into 1
0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (* 1 1) into 1
0.067 * [backup-simplify]: Simplify (/ 1 1) into 1
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.068 * [taylor]: Taking taylor expansion of y in x
0.068 * [backup-simplify]: Simplify y into y
0.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.068 * [backup-simplify]: Simplify (+ 1 0) into 1
0.068 * [backup-simplify]: Simplify (sqrt 1) into 1
0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.070 * [taylor]: Taking taylor expansion of x in x
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.070 * [taylor]: Taking taylor expansion of y in x
0.070 * [backup-simplify]: Simplify y into y
0.070 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.071 * [backup-simplify]: Simplify (+ 1 0) into 1
0.071 * [backup-simplify]: Simplify (sqrt 1) into 1
0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.073 * [taylor]: Taking taylor expansion of 1 in y
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.075 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.075 * [taylor]: Taking taylor expansion of 1/2 in y
0.075 * [backup-simplify]: Simplify 1/2 into 1/2
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (* 1 1) into 1
0.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.078 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.081 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.081 * [taylor]: Taking taylor expansion of x in y
0.081 * [backup-simplify]: Simplify x into x
0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (* 1 1) into 1
0.082 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [backup-simplify]: Simplify (+ 0 1) into 1
0.083 * [backup-simplify]: Simplify (sqrt 1) into 1
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.086 * [taylor]: Taking taylor expansion of x in x
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.087 * [backup-simplify]: Simplify (/ 1 1) into 1
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [backup-simplify]: Simplify y into y
0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.087 * [backup-simplify]: Simplify (+ 1 0) into 1
0.088 * [backup-simplify]: Simplify (sqrt 1) into 1
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [backup-simplify]: Simplify y into y
0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (sqrt 1) into 1
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.095 * [taylor]: Taking taylor expansion of 1 in y
0.095 * [backup-simplify]: Simplify 1 into 1
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.099 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.099 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.099 * [taylor]: Taking taylor expansion of 1/2 in y
0.099 * [backup-simplify]: Simplify 1/2 into 1/2
0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.099 * [taylor]: Taking taylor expansion of y in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* 1 1) into 1
0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.107 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.107 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.107 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.107 * [taylor]: Taking taylor expansion of x in y
0.107 * [backup-simplify]: Simplify x into x
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.108 * [taylor]: Taking taylor expansion of y in y
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.108 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.109 * [taylor]: Taking taylor expansion of y in y
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [taylor]: Taking taylor expansion of 0 in y
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (* 1 1) into 1
0.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.111 * [backup-simplify]: Simplify (+ 1 0) into 1
0.111 * [taylor]: Taking taylor expansion of 1 in y
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [taylor]: Taking taylor expansion of 0 in y
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.117 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.117 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.118 * [taylor]: Taking taylor expansion of x in y
0.118 * [backup-simplify]: Simplify x into x
0.118 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (* 1 1) into 1
0.119 * [backup-simplify]: Simplify (/ 1 1) into 1
0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.119 * [taylor]: Taking taylor expansion of x in x
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.120 * [backup-simplify]: Simplify (/ 1 1) into 1
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.120 * [taylor]: Taking taylor expansion of y in x
0.120 * [backup-simplify]: Simplify y into y
0.120 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.120 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.120 * [taylor]: Taking taylor expansion of x in x
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (* 1 1) into 1
0.121 * [backup-simplify]: Simplify (/ 1 1) into 1
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.122 * [taylor]: Taking taylor expansion of y in x
0.122 * [backup-simplify]: Simplify y into y
0.122 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.123 * [taylor]: Taking taylor expansion of 1 in y
0.123 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [taylor]: Taking taylor expansion of 0 in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.127 * [taylor]: Taking taylor expansion of y in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (* 1 1) into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [taylor]: Taking taylor expansion of 0 in y
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.136 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.136 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.136 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.136 * [taylor]: Taking taylor expansion of x in y
0.136 * [backup-simplify]: Simplify x into x
0.136 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.136 * [taylor]: Taking taylor expansion of y in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.137 * [taylor]: Taking taylor expansion of x in x
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.137 * [taylor]: Taking taylor expansion of y in x
0.137 * [backup-simplify]: Simplify y into y
0.137 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.137 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.137 * [taylor]: Taking taylor expansion of x in x
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (* 1 1) into 1
0.138 * [backup-simplify]: Simplify (/ 1 1) into 1
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.138 * [taylor]: Taking taylor expansion of y in x
0.138 * [backup-simplify]: Simplify y into y
0.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.138 * [backup-simplify]: Simplify (+ 1 0) into 1
0.138 * [taylor]: Taking taylor expansion of 1 in y
0.138 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [taylor]: Taking taylor expansion of 0 in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.141 * [taylor]: Taking taylor expansion of y in y
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in y
0.144 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [taylor]: Taking taylor expansion of 0 in y
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.149 * * * [progress]: simplifying candidates
0.150 * [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))))
  (* (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)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.150 * * [simplify]: Extracting # 0 : cost  0
0.150 * * [simplify]: Extracting # 1 : cost  0
0.150 * * [simplify]: Extracting # 2 : cost  0
0.150 * * [simplify]: Extracting # 3 : cost  0
0.151 * * [simplify]: Extracting # 4 : cost  0
0.151 * * [simplify]: Extracting # 5 : cost  0
0.151 * * [simplify]: iteration  0 :  48  enodes  (cost  379 )
0.168 * * [simplify]: Extracting # 0 : cost  0
0.168 * * [simplify]: Extracting # 1 : cost  0
0.169 * * [simplify]: Extracting # 2 : cost  0
0.169 * * [simplify]: Extracting # 3 : cost  0
0.169 * * [simplify]: Extracting # 4 : cost  0
0.169 * * [simplify]: iteration  1 :  124  enodes  (cost  347 )
0.243 * * [simplify]: Extracting # 0 : cost  0
0.243 * * [simplify]: Extracting # 1 : cost  0
0.243 * * [simplify]: Extracting # 2 : cost  0
0.244 * * [simplify]: Extracting # 3 : cost  0
0.244 * * [simplify]: Extracting # 4 : cost  0
0.244 * * [simplify]: iteration  2 :  343  enodes  (cost  295 )
0.420 * * [simplify]: Extracting # 0 : cost  0
0.422 * * [simplify]: Extracting # 1 : cost  0
0.424 * * [simplify]: Extracting # 2 : cost  0
0.425 * * [simplify]: Extracting # 3 : cost  0
0.426 * * [simplify]: Extracting # 4 : cost  0
0.427 * * [simplify]: iteration  3 :  968  enodes  (cost  295 )
1.237 * * [simplify]: Extracting # 0 : cost  0
1.241 * * [simplify]: Extracting # 1 : cost  0
1.245 * * [simplify]: Extracting # 2 : cost  0
1.256 * * [simplify]: Extracting # 3 : cost  0
1.259 * * [simplify]: Extracting # 4 : cost  0
1.263 * * [simplify]: iteration  4 :  2668  enodes  (cost  295 )
2.535 * * [simplify]: Extracting # 0 : cost  0
2.540 * * [simplify]: Extracting # 1 : cost  0
2.545 * * [simplify]: Extracting # 2 : cost  0
2.550 * * [simplify]: Extracting # 3 : cost  0
2.555 * * [simplify]: Extracting # 4 : cost  0
2.562 * * [simplify]: iteration done:  5000  enodes  (cost  295 )
2.563 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
2.563 * * * [progress]: adding candidates to table
2.658 * * [progress]: iteration 2 / 4
2.658 * * * [progress]: picking best candidate
2.670 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
2.670 * * * [progress]: localizing error
2.686 * * * [progress]: generating rewritten candidates
2.686 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
2.699 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
2.714 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.797 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
2.823 * * * [progress]: generating series expansions
2.823 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
2.823 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.823 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.823 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.823 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.823 * [taylor]: Taking taylor expansion of x in y
2.823 * [backup-simplify]: Simplify x into x
2.823 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.823 * [taylor]: Taking taylor expansion of y in y
2.823 * [backup-simplify]: Simplify 0 into 0
2.824 * [backup-simplify]: Simplify 1 into 1
2.824 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.824 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.824 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.824 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.825 * [backup-simplify]: Simplify (+ 0 0) into 0
2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.825 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.825 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.825 * [taylor]: Taking taylor expansion of x in x
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.825 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.825 * [taylor]: Taking taylor expansion of y in x
2.825 * [backup-simplify]: Simplify y into y
2.825 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.825 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.825 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.826 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.826 * [backup-simplify]: Simplify (+ 0 0) into 0
2.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.826 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.826 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.826 * [taylor]: Taking taylor expansion of x in x
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify 1 into 1
2.826 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.826 * [taylor]: Taking taylor expansion of y in x
2.826 * [backup-simplify]: Simplify y into y
2.826 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.827 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.827 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.827 * [backup-simplify]: Simplify (+ 0 0) into 0
2.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.827 * [taylor]: Taking taylor expansion of y in y
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 1 into 1
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [taylor]: Taking taylor expansion of 0 in y
2.828 * [backup-simplify]: Simplify 0 into 0
2.828 * [backup-simplify]: Simplify 0 into 0
2.828 * [backup-simplify]: Simplify 1 into 1
2.828 * [backup-simplify]: Simplify (* 1 1) into 1
2.828 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.828 * [backup-simplify]: Simplify (+ 1 0) into 1
2.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.829 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.829 * [taylor]: Taking taylor expansion of 1/2 in y
2.829 * [backup-simplify]: Simplify 1/2 into 1/2
2.829 * [taylor]: Taking taylor expansion of y in y
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify 1 into 1
2.829 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.831 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.831 * [backup-simplify]: Simplify (+ 0 0) into 0
2.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.831 * [taylor]: Taking taylor expansion of 0 in y
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.832 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.832 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.832 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.832 * [taylor]: Taking taylor expansion of x in y
2.832 * [backup-simplify]: Simplify x into x
2.832 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.832 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.832 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.832 * [taylor]: Taking taylor expansion of y in y
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify 1 into 1
2.833 * [backup-simplify]: Simplify (* 1 1) into 1
2.833 * [backup-simplify]: Simplify (/ 1 1) into 1
2.833 * [backup-simplify]: Simplify (+ 0 1) into 1
2.833 * [backup-simplify]: Simplify (sqrt 1) into 1
2.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.834 * [backup-simplify]: Simplify (+ 0 0) into 0
2.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.835 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.835 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.835 * [taylor]: Taking taylor expansion of x in x
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (* 1 1) into 1
2.835 * [backup-simplify]: Simplify (/ 1 1) into 1
2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.835 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.835 * [taylor]: Taking taylor expansion of y in x
2.835 * [backup-simplify]: Simplify y into y
2.836 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.836 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.836 * [backup-simplify]: Simplify (+ 1 0) into 1
2.836 * [backup-simplify]: Simplify (sqrt 1) into 1
2.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.837 * [backup-simplify]: Simplify (+ 0 0) into 0
2.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.838 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.838 * [taylor]: Taking taylor expansion of x in x
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 1 into 1
2.838 * [backup-simplify]: Simplify (* 1 1) into 1
2.838 * [backup-simplify]: Simplify (/ 1 1) into 1
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.838 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.838 * [taylor]: Taking taylor expansion of y in x
2.838 * [backup-simplify]: Simplify y into y
2.838 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.839 * [backup-simplify]: Simplify (+ 1 0) into 1
2.839 * [backup-simplify]: Simplify (sqrt 1) into 1
2.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.843 * [backup-simplify]: Simplify (+ 0 0) into 0
2.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.844 * [taylor]: Taking taylor expansion of 1 in y
2.844 * [backup-simplify]: Simplify 1 into 1
2.844 * [taylor]: Taking taylor expansion of 0 in y
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.845 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.846 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.846 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.846 * [taylor]: Taking taylor expansion of 1/2 in y
2.846 * [backup-simplify]: Simplify 1/2 into 1/2
2.846 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.846 * [taylor]: Taking taylor expansion of y in y
2.846 * [backup-simplify]: Simplify 0 into 0
2.846 * [backup-simplify]: Simplify 1 into 1
2.846 * [backup-simplify]: Simplify (* 1 1) into 1
2.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.848 * [backup-simplify]: Simplify 0 into 0
2.848 * [backup-simplify]: Simplify 0 into 0
2.848 * [backup-simplify]: Simplify 0 into 0
2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.849 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.849 * [backup-simplify]: Simplify (+ 0 0) into 0
2.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.850 * [taylor]: Taking taylor expansion of 0 in y
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.852 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.852 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.852 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.852 * [taylor]: Taking taylor expansion of x in y
2.852 * [backup-simplify]: Simplify x into x
2.852 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.852 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.852 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.852 * [taylor]: Taking taylor expansion of y in y
2.852 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify 1 into 1
2.853 * [backup-simplify]: Simplify (* 1 1) into 1
2.853 * [backup-simplify]: Simplify (/ 1 1) into 1
2.853 * [backup-simplify]: Simplify (+ 0 1) into 1
2.853 * [backup-simplify]: Simplify (sqrt 1) into 1
2.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.854 * [backup-simplify]: Simplify (+ 0 0) into 0
2.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.855 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.855 * [taylor]: Taking taylor expansion of x in x
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (* 1 1) into 1
2.855 * [backup-simplify]: Simplify (/ 1 1) into 1
2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.855 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.855 * [taylor]: Taking taylor expansion of y in x
2.855 * [backup-simplify]: Simplify y into y
2.855 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.855 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.856 * [backup-simplify]: Simplify (+ 1 0) into 1
2.856 * [backup-simplify]: Simplify (sqrt 1) into 1
2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.857 * [backup-simplify]: Simplify (+ 0 0) into 0
2.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.857 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.857 * [taylor]: Taking taylor expansion of x in x
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (* 1 1) into 1
2.858 * [backup-simplify]: Simplify (/ 1 1) into 1
2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.858 * [taylor]: Taking taylor expansion of y in x
2.858 * [backup-simplify]: Simplify y into y
2.858 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.858 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.859 * [backup-simplify]: Simplify (+ 1 0) into 1
2.859 * [backup-simplify]: Simplify (sqrt 1) into 1
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ 0 0) into 0
2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.862 * [taylor]: Taking taylor expansion of 1 in y
2.862 * [backup-simplify]: Simplify 1 into 1
2.862 * [taylor]: Taking taylor expansion of 0 in y
2.862 * [backup-simplify]: Simplify 0 into 0
2.862 * [backup-simplify]: Simplify 1 into 1
2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.865 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.865 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.865 * [taylor]: Taking taylor expansion of 1/2 in y
2.865 * [backup-simplify]: Simplify 1/2 into 1/2
2.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.865 * [taylor]: Taking taylor expansion of y in y
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 1 into 1
2.866 * [backup-simplify]: Simplify (* 1 1) into 1
2.866 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.870 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.870 * [backup-simplify]: Simplify (+ 0 0) into 0
2.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.871 * [taylor]: Taking taylor expansion of 0 in y
2.871 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.873 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
2.873 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.874 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.874 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.874 * [taylor]: Taking taylor expansion of x in y
2.874 * [backup-simplify]: Simplify x into x
2.874 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.874 * [taylor]: Taking taylor expansion of y in y
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.874 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.874 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.874 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.875 * [backup-simplify]: Simplify (+ 0 0) into 0
2.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.875 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.875 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.875 * [taylor]: Taking taylor expansion of x in x
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.875 * [taylor]: Taking taylor expansion of y in x
2.875 * [backup-simplify]: Simplify y into y
2.875 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.875 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.876 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.876 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.876 * [backup-simplify]: Simplify (+ 0 0) into 0
2.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.876 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.876 * [taylor]: Taking taylor expansion of x in x
2.876 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify 1 into 1
2.876 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.876 * [taylor]: Taking taylor expansion of y in x
2.876 * [backup-simplify]: Simplify y into y
2.876 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.877 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.877 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.877 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.877 * [taylor]: Taking taylor expansion of y in y
2.877 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [taylor]: Taking taylor expansion of 0 in y
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.878 * [backup-simplify]: Simplify (* 1 1) into 1
2.879 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.879 * [backup-simplify]: Simplify (+ 1 0) into 1
2.880 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.880 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.880 * [taylor]: Taking taylor expansion of 1/2 in y
2.880 * [backup-simplify]: Simplify 1/2 into 1/2
2.880 * [taylor]: Taking taylor expansion of y in y
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.881 * [backup-simplify]: Simplify 0 into 0
2.881 * [backup-simplify]: Simplify 0 into 0
2.881 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.883 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.883 * [backup-simplify]: Simplify (+ 0 0) into 0
2.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.883 * [taylor]: Taking taylor expansion of 0 in y
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.885 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.885 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.885 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.885 * [taylor]: Taking taylor expansion of x in y
2.885 * [backup-simplify]: Simplify x into x
2.885 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.885 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.885 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.885 * [taylor]: Taking taylor expansion of y in y
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (* 1 1) into 1
2.886 * [backup-simplify]: Simplify (/ 1 1) into 1
2.886 * [backup-simplify]: Simplify (+ 0 1) into 1
2.887 * [backup-simplify]: Simplify (sqrt 1) into 1
2.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.888 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.889 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.889 * [taylor]: Taking taylor expansion of x in x
2.889 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify 1 into 1
2.890 * [backup-simplify]: Simplify (* 1 1) into 1
2.890 * [backup-simplify]: Simplify (/ 1 1) into 1
2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.890 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.890 * [taylor]: Taking taylor expansion of y in x
2.890 * [backup-simplify]: Simplify y into y
2.890 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.890 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.891 * [backup-simplify]: Simplify (+ 1 0) into 1
2.891 * [backup-simplify]: Simplify (sqrt 1) into 1
2.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.894 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.894 * [taylor]: Taking taylor expansion of x in x
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify 1 into 1
2.894 * [backup-simplify]: Simplify (* 1 1) into 1
2.895 * [backup-simplify]: Simplify (/ 1 1) into 1
2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.895 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.895 * [taylor]: Taking taylor expansion of y in x
2.895 * [backup-simplify]: Simplify y into y
2.895 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.895 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.895 * [backup-simplify]: Simplify (+ 1 0) into 1
2.896 * [backup-simplify]: Simplify (sqrt 1) into 1
2.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.897 * [backup-simplify]: Simplify (+ 0 0) into 0
2.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.898 * [taylor]: Taking taylor expansion of 1 in y
2.898 * [backup-simplify]: Simplify 1 into 1
2.898 * [taylor]: Taking taylor expansion of 0 in y
2.898 * [backup-simplify]: Simplify 0 into 0
2.898 * [backup-simplify]: Simplify 1 into 1
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.900 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.901 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.902 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.902 * [taylor]: Taking taylor expansion of 1/2 in y
2.902 * [backup-simplify]: Simplify 1/2 into 1/2
2.902 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.902 * [taylor]: Taking taylor expansion of y in y
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [backup-simplify]: Simplify (* 1 1) into 1
2.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.905 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.905 * [backup-simplify]: Simplify (+ 0 0) into 0
2.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.905 * [taylor]: Taking taylor expansion of 0 in y
2.905 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.907 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.907 * [taylor]: Taking taylor expansion of x in y
2.907 * [backup-simplify]: Simplify x into x
2.907 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.907 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.907 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.907 * [taylor]: Taking taylor expansion of y in y
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 1 into 1
2.907 * [backup-simplify]: Simplify (* 1 1) into 1
2.908 * [backup-simplify]: Simplify (/ 1 1) into 1
2.908 * [backup-simplify]: Simplify (+ 0 1) into 1
2.909 * [backup-simplify]: Simplify (sqrt 1) into 1
2.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify (+ 0 0) into 0
2.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.911 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.911 * [taylor]: Taking taylor expansion of x in x
2.911 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify 1 into 1
2.912 * [backup-simplify]: Simplify (* 1 1) into 1
2.912 * [backup-simplify]: Simplify (/ 1 1) into 1
2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.912 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.912 * [taylor]: Taking taylor expansion of y in x
2.912 * [backup-simplify]: Simplify y into y
2.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.912 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.913 * [backup-simplify]: Simplify (+ 1 0) into 1
2.913 * [backup-simplify]: Simplify (sqrt 1) into 1
2.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.915 * [backup-simplify]: Simplify (+ 0 0) into 0
2.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.916 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.916 * [taylor]: Taking taylor expansion of x in x
2.916 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify 1 into 1
2.916 * [backup-simplify]: Simplify (* 1 1) into 1
2.916 * [backup-simplify]: Simplify (/ 1 1) into 1
2.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.916 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.916 * [taylor]: Taking taylor expansion of y in x
2.917 * [backup-simplify]: Simplify y into y
2.917 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.917 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.917 * [backup-simplify]: Simplify (+ 1 0) into 1
2.918 * [backup-simplify]: Simplify (sqrt 1) into 1
2.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (+ 0 0) into 0
2.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.920 * [taylor]: Taking taylor expansion of 1 in y
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [taylor]: Taking taylor expansion of 0 in y
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.923 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.924 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.924 * [taylor]: Taking taylor expansion of 1/2 in y
2.924 * [backup-simplify]: Simplify 1/2 into 1/2
2.924 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.924 * [taylor]: Taking taylor expansion of y in y
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 1 into 1
2.924 * [backup-simplify]: Simplify (* 1 1) into 1
2.925 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.928 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.929 * [backup-simplify]: Simplify (+ 0 0) into 0
2.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.929 * [taylor]: Taking taylor expansion of 0 in y
2.929 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.931 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.932 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2)))
2.932 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.932 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.932 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.932 * [taylor]: Taking taylor expansion of x in y
2.932 * [backup-simplify]: Simplify x into x
2.932 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.932 * [taylor]: Taking taylor expansion of y in y
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.933 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.933 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.933 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.933 * [backup-simplify]: Simplify (+ 0 0) into 0
2.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.933 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.933 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.933 * [taylor]: Taking taylor expansion of x in x
2.933 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify 1 into 1
2.934 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.934 * [taylor]: Taking taylor expansion of y in x
2.934 * [backup-simplify]: Simplify y into y
2.934 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.934 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.934 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.934 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.935 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.935 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.935 * [taylor]: Taking taylor expansion of x in x
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify 1 into 1
2.935 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.935 * [taylor]: Taking taylor expansion of y in x
2.935 * [backup-simplify]: Simplify y into y
2.935 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.935 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.935 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.936 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.936 * [backup-simplify]: Simplify (+ 0 0) into 0
2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.936 * [taylor]: Taking taylor expansion of y in y
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [taylor]: Taking taylor expansion of 0 in y
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.937 * [backup-simplify]: Simplify (* 1 1) into 1
2.937 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.938 * [backup-simplify]: Simplify (+ 1 0) into 1
2.938 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.939 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.939 * [taylor]: Taking taylor expansion of 1/2 in y
2.939 * [backup-simplify]: Simplify 1/2 into 1/2
2.939 * [taylor]: Taking taylor expansion of y in y
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify 1 into 1
2.939 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.940 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.942 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.942 * [backup-simplify]: Simplify (+ 0 0) into 0
2.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.942 * [taylor]: Taking taylor expansion of 0 in y
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.944 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.944 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.944 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.944 * [taylor]: Taking taylor expansion of x in y
2.944 * [backup-simplify]: Simplify x into x
2.945 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.945 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.945 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.945 * [taylor]: Taking taylor expansion of y in y
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify 1 into 1
2.945 * [backup-simplify]: Simplify (* 1 1) into 1
2.946 * [backup-simplify]: Simplify (/ 1 1) into 1
2.946 * [backup-simplify]: Simplify (+ 0 1) into 1
2.946 * [backup-simplify]: Simplify (sqrt 1) into 1
2.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.948 * [backup-simplify]: Simplify (+ 0 0) into 0
2.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.949 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.949 * [taylor]: Taking taylor expansion of x in x
2.949 * [backup-simplify]: Simplify 0 into 0
2.949 * [backup-simplify]: Simplify 1 into 1
2.949 * [backup-simplify]: Simplify (* 1 1) into 1
2.950 * [backup-simplify]: Simplify (/ 1 1) into 1
2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.950 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.950 * [taylor]: Taking taylor expansion of y in x
2.950 * [backup-simplify]: Simplify y into y
2.950 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.950 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.950 * [backup-simplify]: Simplify (+ 1 0) into 1
2.951 * [backup-simplify]: Simplify (sqrt 1) into 1
2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.952 * [backup-simplify]: Simplify (+ 0 0) into 0
2.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.952 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.952 * [taylor]: Taking taylor expansion of x in x
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 1 into 1
2.952 * [backup-simplify]: Simplify (* 1 1) into 1
2.953 * [backup-simplify]: Simplify (/ 1 1) into 1
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.953 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.953 * [taylor]: Taking taylor expansion of y in x
2.953 * [backup-simplify]: Simplify y into y
2.953 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.953 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.953 * [backup-simplify]: Simplify (+ 1 0) into 1
2.953 * [backup-simplify]: Simplify (sqrt 1) into 1
2.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.954 * [backup-simplify]: Simplify (+ 0 0) into 0
2.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.955 * [taylor]: Taking taylor expansion of 1 in y
2.955 * [backup-simplify]: Simplify 1 into 1
2.955 * [taylor]: Taking taylor expansion of 0 in y
2.955 * [backup-simplify]: Simplify 0 into 0
2.955 * [backup-simplify]: Simplify 1 into 1
2.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.956 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.957 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.957 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.957 * [taylor]: Taking taylor expansion of 1/2 in y
2.957 * [backup-simplify]: Simplify 1/2 into 1/2
2.957 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.957 * [taylor]: Taking taylor expansion of y in y
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (* 1 1) into 1
2.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.960 * [backup-simplify]: Simplify (+ 0 0) into 0
2.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.961 * [taylor]: Taking taylor expansion of 0 in y
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.962 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.962 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.963 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.963 * [taylor]: Taking taylor expansion of x in y
2.963 * [backup-simplify]: Simplify x into x
2.963 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.963 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.963 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.963 * [taylor]: Taking taylor expansion of y in y
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 1 into 1
2.963 * [backup-simplify]: Simplify (* 1 1) into 1
2.963 * [backup-simplify]: Simplify (/ 1 1) into 1
2.964 * [backup-simplify]: Simplify (+ 0 1) into 1
2.964 * [backup-simplify]: Simplify (sqrt 1) into 1
2.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify (+ 0 0) into 0
2.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.965 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.965 * [taylor]: Taking taylor expansion of x in x
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify 1 into 1
2.966 * [backup-simplify]: Simplify (* 1 1) into 1
2.966 * [backup-simplify]: Simplify (/ 1 1) into 1
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.966 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.966 * [taylor]: Taking taylor expansion of y in x
2.966 * [backup-simplify]: Simplify y into y
2.966 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.966 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.966 * [backup-simplify]: Simplify (+ 1 0) into 1
2.967 * [backup-simplify]: Simplify (sqrt 1) into 1
2.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.972 * [backup-simplify]: Simplify (+ 0 0) into 0
2.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.973 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.973 * [taylor]: Taking taylor expansion of x in x
2.973 * [backup-simplify]: Simplify 0 into 0
2.973 * [backup-simplify]: Simplify 1 into 1
2.973 * [backup-simplify]: Simplify (* 1 1) into 1
2.973 * [backup-simplify]: Simplify (/ 1 1) into 1
2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.973 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.973 * [taylor]: Taking taylor expansion of y in x
2.973 * [backup-simplify]: Simplify y into y
2.974 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.974 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.974 * [backup-simplify]: Simplify (+ 1 0) into 1
2.974 * [backup-simplify]: Simplify (sqrt 1) into 1
2.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.976 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.977 * [taylor]: Taking taylor expansion of 1 in y
2.977 * [backup-simplify]: Simplify 1 into 1
2.977 * [taylor]: Taking taylor expansion of 0 in y
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.979 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.980 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.980 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.980 * [taylor]: Taking taylor expansion of 1/2 in y
2.980 * [backup-simplify]: Simplify 1/2 into 1/2
2.980 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.980 * [taylor]: Taking taylor expansion of y in y
2.980 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify 1 into 1
2.980 * [backup-simplify]: Simplify (* 1 1) into 1
2.981 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 0 into 0
2.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.985 * [taylor]: Taking taylor expansion of 0 in y
2.985 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.987 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
2.987 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
2.987 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.987 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.987 * [taylor]: Taking taylor expansion of x in y
2.987 * [backup-simplify]: Simplify x into x
2.987 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.987 * [taylor]: Taking taylor expansion of y in y
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 1 into 1
2.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.987 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.987 * [taylor]: Taking taylor expansion of x in x
2.987 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.988 * [taylor]: Taking taylor expansion of y in x
2.988 * [backup-simplify]: Simplify y into y
2.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.988 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.988 * [taylor]: Taking taylor expansion of x in x
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.988 * [taylor]: Taking taylor expansion of y in x
2.988 * [backup-simplify]: Simplify y into y
2.988 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.988 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.988 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.988 * [taylor]: Taking taylor expansion of y in y
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.989 * [taylor]: Taking taylor expansion of 0 in y
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify (* 1 1) into 1
2.990 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.990 * [backup-simplify]: Simplify (+ 1 0) into 1
2.990 * [taylor]: Taking taylor expansion of 1 in y
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify (* 1 1) into 1
2.990 * [backup-simplify]: Simplify 1 into 1
2.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.992 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.992 * [backup-simplify]: Simplify (+ 0 0) into 0
2.992 * [taylor]: Taking taylor expansion of 0 in y
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.993 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.995 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.995 * [backup-simplify]: Simplify (+ 0 0) into 0
2.995 * [taylor]: Taking taylor expansion of 0 in y
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.996 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.996 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.996 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.996 * [taylor]: Taking taylor expansion of x in y
2.996 * [backup-simplify]: Simplify x into x
2.996 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.996 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.996 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.996 * [taylor]: Taking taylor expansion of y in y
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify (* 1 1) into 1
2.997 * [backup-simplify]: Simplify (/ 1 1) into 1
2.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.997 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.997 * [taylor]: Taking taylor expansion of x in x
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 1 into 1
2.997 * [backup-simplify]: Simplify (* 1 1) into 1
2.998 * [backup-simplify]: Simplify (/ 1 1) into 1
2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.998 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.998 * [taylor]: Taking taylor expansion of y in x
2.998 * [backup-simplify]: Simplify y into y
2.998 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.998 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.998 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.998 * [taylor]: Taking taylor expansion of x in x
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [backup-simplify]: Simplify (* 1 1) into 1
2.999 * [backup-simplify]: Simplify (/ 1 1) into 1
2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.999 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.999 * [taylor]: Taking taylor expansion of y in x
2.999 * [backup-simplify]: Simplify y into y
2.999 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.999 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.999 * [backup-simplify]: Simplify (+ 1 0) into 1
2.999 * [taylor]: Taking taylor expansion of 1 in y
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.001 * [backup-simplify]: Simplify (+ 0 0) into 0
3.001 * [taylor]: Taking taylor expansion of 0 in y
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.002 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.002 * [taylor]: Taking taylor expansion of y in y
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [backup-simplify]: Simplify 1 into 1
3.002 * [backup-simplify]: Simplify (* 1 1) into 1
3.003 * [backup-simplify]: Simplify (/ 1 1) into 1
3.003 * [backup-simplify]: Simplify 1 into 1
3.003 * [backup-simplify]: Simplify 1 into 1
3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.004 * [backup-simplify]: Simplify (+ 0 0) into 0
3.004 * [taylor]: Taking taylor expansion of 0 in y
3.004 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.007 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.007 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [taylor]: Taking taylor expansion of 0 in y
3.007 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.009 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
3.009 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.009 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
3.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.009 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.009 * [taylor]: Taking taylor expansion of x in y
3.009 * [backup-simplify]: Simplify x into x
3.009 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.009 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.009 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.009 * [taylor]: Taking taylor expansion of y in y
3.009 * [backup-simplify]: Simplify 0 into 0
3.009 * [backup-simplify]: Simplify 1 into 1
3.009 * [backup-simplify]: Simplify (* 1 1) into 1
3.010 * [backup-simplify]: Simplify (/ 1 1) into 1
3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.010 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.010 * [taylor]: Taking taylor expansion of x in x
3.010 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify 1 into 1
3.010 * [backup-simplify]: Simplify (* 1 1) into 1
3.010 * [backup-simplify]: Simplify (/ 1 1) into 1
3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.010 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.010 * [taylor]: Taking taylor expansion of y in x
3.010 * [backup-simplify]: Simplify y into y
3.010 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.011 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.011 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.011 * [taylor]: Taking taylor expansion of x in x
3.011 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify 1 into 1
3.011 * [backup-simplify]: Simplify (* 1 1) into 1
3.011 * [backup-simplify]: Simplify (/ 1 1) into 1
3.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.011 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.011 * [taylor]: Taking taylor expansion of y in x
3.011 * [backup-simplify]: Simplify y into y
3.011 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.011 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.012 * [backup-simplify]: Simplify (+ 1 0) into 1
3.012 * [taylor]: Taking taylor expansion of 1 in y
3.012 * [backup-simplify]: Simplify 1 into 1
3.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.013 * [backup-simplify]: Simplify (+ 0 0) into 0
3.013 * [taylor]: Taking taylor expansion of 0 in y
3.013 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.015 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.015 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.015 * [taylor]: Taking taylor expansion of y in y
3.015 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify 1 into 1
3.016 * [backup-simplify]: Simplify (* 1 1) into 1
3.016 * [backup-simplify]: Simplify (/ 1 1) into 1
3.016 * [backup-simplify]: Simplify 1 into 1
3.016 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.018 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.019 * [backup-simplify]: Simplify (+ 0 0) into 0
3.019 * [taylor]: Taking taylor expansion of 0 in y
3.019 * [backup-simplify]: Simplify 0 into 0
3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.020 * [backup-simplify]: Simplify 0 into 0
3.020 * [backup-simplify]: Simplify 0 into 0
3.020 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.022 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [taylor]: Taking taylor expansion of 0 in y
3.023 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
3.025 * * * [progress]: simplifying candidates
3.028 * [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 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (+ (* 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 (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (* (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))))))
  (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))
  (cbrt (* (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y)))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y)))))
  (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (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 (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 (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 (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  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))
3.033 * * [simplify]: Extracting # 0 : cost  0
3.034 * * [simplify]: Extracting # 1 : cost  0
3.034 * * [simplify]: Extracting # 2 : cost  0
3.034 * * [simplify]: Extracting # 3 : cost  0
3.034 * * [simplify]: Extracting # 4 : cost  0
3.035 * * [simplify]: Extracting # 5 : cost  0
3.035 * * [simplify]: Extracting # 6 : cost  0
3.035 * * [simplify]: iteration  0 :  121  enodes  (cost  2803 )
3.094 * * [simplify]: Extracting # 0 : cost  0
3.095 * * [simplify]: Extracting # 1 : cost  0
3.095 * * [simplify]: Extracting # 2 : cost  0
3.096 * * [simplify]: Extracting # 3 : cost  0
3.096 * * [simplify]: Extracting # 4 : cost  0
3.096 * * [simplify]: iteration  1 :  233  enodes  (cost  1759 )
3.204 * * [simplify]: Extracting # 0 : cost  0
3.208 * * [simplify]: Extracting # 1 : cost  0
3.209 * * [simplify]: Extracting # 2 : cost  0
3.210 * * [simplify]: Extracting # 3 : cost  0
3.210 * * [simplify]: Extracting # 4 : cost  0
3.211 * * [simplify]: iteration  2 :  638  enodes  (cost  1533 )
3.748 * * [simplify]: Extracting # 0 : cost  0
3.753 * * [simplify]: Extracting # 1 : cost  0
3.757 * * [simplify]: Extracting # 2 : cost  0
3.761 * * [simplify]: Extracting # 3 : cost  0
3.765 * * [simplify]: Extracting # 4 : cost  0
3.768 * * [simplify]: iteration  3 :  2187  enodes  (cost  1496 )
4.936 * * [simplify]: Extracting # 0 : cost  0
4.941 * * [simplify]: Extracting # 1 : cost  0
4.951 * * [simplify]: Extracting # 2 : cost  0
4.956 * * [simplify]: Extracting # 3 : cost  0
4.961 * * [simplify]: Extracting # 4 : cost  0
4.967 * * [simplify]: iteration done:  5000  enodes  (cost  1457 )
4.968 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (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))))
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* y y) (* x x))
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (+ (* y y) (* x x))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  2
  (log (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (+ (* y y) (* x x))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4)))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))))
  (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4)))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4)
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (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
  (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
  (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
  (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))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 5)
  (* (fabs (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))
  (* (sqrt (fabs (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4)
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (+ (* x x) (* y y)))
  (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))))
  (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))
  (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))))
  (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* y y) (* x x)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (pow y 2))
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
4.970 * * * [progress]: adding candidates to table
5.646 * * [progress]: iteration 3 / 4
5.646 * * * [progress]: picking best candidate
5.660 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))>
5.660 * * * [progress]: localizing error
5.700 * * * [progress]: generating rewritten candidates
5.700 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
5.708 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
5.716 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1)
5.729 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
5.739 * * * [progress]: generating series expansions
5.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
5.739 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.739 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.739 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.739 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.739 * [taylor]: Taking taylor expansion of x in y
5.739 * [backup-simplify]: Simplify x into x
5.739 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.739 * [taylor]: Taking taylor expansion of y in y
5.739 * [backup-simplify]: Simplify 0 into 0
5.740 * [backup-simplify]: Simplify 1 into 1
5.740 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.740 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.740 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.740 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.740 * [backup-simplify]: Simplify (+ 0 0) into 0
5.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.740 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.740 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.741 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.741 * [taylor]: Taking taylor expansion of x in x
5.741 * [backup-simplify]: Simplify 0 into 0
5.741 * [backup-simplify]: Simplify 1 into 1
5.741 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.741 * [taylor]: Taking taylor expansion of y in x
5.741 * [backup-simplify]: Simplify y into y
5.741 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.741 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.741 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.741 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.741 * [backup-simplify]: Simplify (+ 0 0) into 0
5.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.741 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.741 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.741 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.741 * [taylor]: Taking taylor expansion of x in x
5.741 * [backup-simplify]: Simplify 0 into 0
5.741 * [backup-simplify]: Simplify 1 into 1
5.741 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.741 * [taylor]: Taking taylor expansion of y in x
5.741 * [backup-simplify]: Simplify y into y
5.742 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.742 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.742 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.742 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.742 * [backup-simplify]: Simplify (+ 0 0) into 0
5.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.742 * [taylor]: Taking taylor expansion of y in y
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [backup-simplify]: Simplify 1 into 1
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [taylor]: Taking taylor expansion of 0 in y
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [backup-simplify]: Simplify 1 into 1
5.743 * [backup-simplify]: Simplify (* 1 1) into 1
5.743 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.743 * [backup-simplify]: Simplify (+ 1 0) into 1
5.744 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.744 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.744 * [taylor]: Taking taylor expansion of 1/2 in y
5.744 * [backup-simplify]: Simplify 1/2 into 1/2
5.744 * [taylor]: Taking taylor expansion of y in y
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 1 into 1
5.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.745 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.746 * [backup-simplify]: Simplify (+ 0 0) into 0
5.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.746 * [taylor]: Taking taylor expansion of 0 in y
5.746 * [backup-simplify]: Simplify 0 into 0
5.746 * [backup-simplify]: Simplify 0 into 0
5.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.746 * [backup-simplify]: Simplify 0 into 0
5.746 * [backup-simplify]: Simplify 0 into 0
5.747 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.747 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.747 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.747 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.747 * [taylor]: Taking taylor expansion of x in y
5.747 * [backup-simplify]: Simplify x into x
5.747 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.747 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.747 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.747 * [taylor]: Taking taylor expansion of y in y
5.747 * [backup-simplify]: Simplify 0 into 0
5.748 * [backup-simplify]: Simplify 1 into 1
5.748 * [backup-simplify]: Simplify (* 1 1) into 1
5.748 * [backup-simplify]: Simplify (/ 1 1) into 1
5.749 * [backup-simplify]: Simplify (+ 0 1) into 1
5.749 * [backup-simplify]: Simplify (sqrt 1) into 1
5.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.751 * [backup-simplify]: Simplify (+ 0 0) into 0
5.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.752 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.752 * [taylor]: Taking taylor expansion of x in x
5.752 * [backup-simplify]: Simplify 0 into 0
5.752 * [backup-simplify]: Simplify 1 into 1
5.753 * [backup-simplify]: Simplify (* 1 1) into 1
5.753 * [backup-simplify]: Simplify (/ 1 1) into 1
5.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.753 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.753 * [taylor]: Taking taylor expansion of y in x
5.753 * [backup-simplify]: Simplify y into y
5.753 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.754 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.754 * [backup-simplify]: Simplify (+ 1 0) into 1
5.754 * [backup-simplify]: Simplify (sqrt 1) into 1
5.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.756 * [backup-simplify]: Simplify (+ 0 0) into 0
5.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.756 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.756 * [taylor]: Taking taylor expansion of x in x
5.756 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify 1 into 1
5.757 * [backup-simplify]: Simplify (* 1 1) into 1
5.757 * [backup-simplify]: Simplify (/ 1 1) into 1
5.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.757 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.757 * [taylor]: Taking taylor expansion of y in x
5.757 * [backup-simplify]: Simplify y into y
5.757 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.757 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.757 * [backup-simplify]: Simplify (+ 1 0) into 1
5.758 * [backup-simplify]: Simplify (sqrt 1) into 1
5.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.759 * [backup-simplify]: Simplify (+ 0 0) into 0
5.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.760 * [taylor]: Taking taylor expansion of 1 in y
5.760 * [backup-simplify]: Simplify 1 into 1
5.760 * [taylor]: Taking taylor expansion of 0 in y
5.760 * [backup-simplify]: Simplify 0 into 0
5.760 * [backup-simplify]: Simplify 1 into 1
5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.761 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.762 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.762 * [taylor]: Taking taylor expansion of 1/2 in y
5.762 * [backup-simplify]: Simplify 1/2 into 1/2
5.762 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.762 * [taylor]: Taking taylor expansion of y in y
5.762 * [backup-simplify]: Simplify 0 into 0
5.762 * [backup-simplify]: Simplify 1 into 1
5.762 * [backup-simplify]: Simplify (* 1 1) into 1
5.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.763 * [backup-simplify]: Simplify 0 into 0
5.763 * [backup-simplify]: Simplify 0 into 0
5.763 * [backup-simplify]: Simplify 0 into 0
5.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.764 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.765 * [backup-simplify]: Simplify (+ 0 0) into 0
5.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.765 * [taylor]: Taking taylor expansion of 0 in y
5.765 * [backup-simplify]: Simplify 0 into 0
5.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.766 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.767 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.767 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.767 * [taylor]: Taking taylor expansion of x in y
5.767 * [backup-simplify]: Simplify x into x
5.767 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.767 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.767 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.767 * [taylor]: Taking taylor expansion of y in y
5.767 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify 1 into 1
5.767 * [backup-simplify]: Simplify (* 1 1) into 1
5.768 * [backup-simplify]: Simplify (/ 1 1) into 1
5.768 * [backup-simplify]: Simplify (+ 0 1) into 1
5.768 * [backup-simplify]: Simplify (sqrt 1) into 1
5.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.769 * [backup-simplify]: Simplify (+ 0 0) into 0
5.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.770 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.770 * [taylor]: Taking taylor expansion of x in x
5.770 * [backup-simplify]: Simplify 0 into 0
5.770 * [backup-simplify]: Simplify 1 into 1
5.770 * [backup-simplify]: Simplify (* 1 1) into 1
5.770 * [backup-simplify]: Simplify (/ 1 1) into 1
5.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.770 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.770 * [taylor]: Taking taylor expansion of y in x
5.770 * [backup-simplify]: Simplify y into y
5.771 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.771 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.771 * [backup-simplify]: Simplify (+ 1 0) into 1
5.771 * [backup-simplify]: Simplify (sqrt 1) into 1
5.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.772 * [backup-simplify]: Simplify (+ 0 0) into 0
5.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.773 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.773 * [taylor]: Taking taylor expansion of x in x
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify 1 into 1
5.773 * [backup-simplify]: Simplify (* 1 1) into 1
5.773 * [backup-simplify]: Simplify (/ 1 1) into 1
5.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.773 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.773 * [taylor]: Taking taylor expansion of y in x
5.773 * [backup-simplify]: Simplify y into y
5.774 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.774 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.774 * [backup-simplify]: Simplify (+ 1 0) into 1
5.774 * [backup-simplify]: Simplify (sqrt 1) into 1
5.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.775 * [backup-simplify]: Simplify (+ 0 0) into 0
5.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.776 * [taylor]: Taking taylor expansion of 1 in y
5.776 * [backup-simplify]: Simplify 1 into 1
5.776 * [taylor]: Taking taylor expansion of 0 in y
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 1 into 1
5.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.777 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.778 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.778 * [taylor]: Taking taylor expansion of 1/2 in y
5.778 * [backup-simplify]: Simplify 1/2 into 1/2
5.778 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.778 * [taylor]: Taking taylor expansion of y in y
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify 1 into 1
5.778 * [backup-simplify]: Simplify (* 1 1) into 1
5.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.779 * [backup-simplify]: Simplify 0 into 0
5.779 * [backup-simplify]: Simplify 0 into 0
5.779 * [backup-simplify]: Simplify 0 into 0
5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.781 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.781 * [backup-simplify]: Simplify (+ 0 0) into 0
5.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.782 * [taylor]: Taking taylor expansion of 0 in y
5.782 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.783 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.783 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
5.783 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.783 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.783 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.783 * [taylor]: Taking taylor expansion of x in y
5.783 * [backup-simplify]: Simplify x into x
5.783 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.783 * [taylor]: Taking taylor expansion of y in y
5.783 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify 1 into 1
5.783 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.783 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.784 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.784 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.784 * [backup-simplify]: Simplify (+ 0 0) into 0
5.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.784 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.784 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.784 * [taylor]: Taking taylor expansion of x in x
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify 1 into 1
5.784 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.784 * [taylor]: Taking taylor expansion of y in x
5.784 * [backup-simplify]: Simplify y into y
5.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.784 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.784 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.784 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.785 * [backup-simplify]: Simplify (+ 0 0) into 0
5.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.785 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.785 * [taylor]: Taking taylor expansion of x in x
5.785 * [backup-simplify]: Simplify 0 into 0
5.785 * [backup-simplify]: Simplify 1 into 1
5.785 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.785 * [taylor]: Taking taylor expansion of y in x
5.785 * [backup-simplify]: Simplify y into y
5.785 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.785 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.785 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.785 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.786 * [backup-simplify]: Simplify (+ 0 0) into 0
5.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.786 * [taylor]: Taking taylor expansion of y in y
5.786 * [backup-simplify]: Simplify 0 into 0
5.786 * [backup-simplify]: Simplify 1 into 1
5.786 * [backup-simplify]: Simplify 0 into 0
5.786 * [taylor]: Taking taylor expansion of 0 in y
5.786 * [backup-simplify]: Simplify 0 into 0
5.786 * [backup-simplify]: Simplify 0 into 0
5.786 * [backup-simplify]: Simplify 1 into 1
5.786 * [backup-simplify]: Simplify (* 1 1) into 1
5.786 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.787 * [backup-simplify]: Simplify (+ 1 0) into 1
5.787 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.787 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.787 * [taylor]: Taking taylor expansion of 1/2 in y
5.787 * [backup-simplify]: Simplify 1/2 into 1/2
5.787 * [taylor]: Taking taylor expansion of y in y
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 1 into 1
5.788 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.789 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.789 * [backup-simplify]: Simplify (+ 0 0) into 0
5.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.789 * [taylor]: Taking taylor expansion of 0 in y
5.789 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.790 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.790 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.790 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.790 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.790 * [taylor]: Taking taylor expansion of x in y
5.790 * [backup-simplify]: Simplify x into x
5.790 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.791 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.791 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.791 * [taylor]: Taking taylor expansion of y in y
5.791 * [backup-simplify]: Simplify 0 into 0
5.791 * [backup-simplify]: Simplify 1 into 1
5.791 * [backup-simplify]: Simplify (* 1 1) into 1
5.791 * [backup-simplify]: Simplify (/ 1 1) into 1
5.791 * [backup-simplify]: Simplify (+ 0 1) into 1
5.792 * [backup-simplify]: Simplify (sqrt 1) into 1
5.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.793 * [backup-simplify]: Simplify (+ 0 0) into 0
5.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.793 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.793 * [taylor]: Taking taylor expansion of x in x
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify 1 into 1
5.793 * [backup-simplify]: Simplify (* 1 1) into 1
5.794 * [backup-simplify]: Simplify (/ 1 1) into 1
5.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.794 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.794 * [taylor]: Taking taylor expansion of y in x
5.794 * [backup-simplify]: Simplify y into y
5.794 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.794 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.794 * [backup-simplify]: Simplify (+ 1 0) into 1
5.794 * [backup-simplify]: Simplify (sqrt 1) into 1
5.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.795 * [backup-simplify]: Simplify (+ 0 0) into 0
5.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.796 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.796 * [taylor]: Taking taylor expansion of x in x
5.796 * [backup-simplify]: Simplify 0 into 0
5.796 * [backup-simplify]: Simplify 1 into 1
5.796 * [backup-simplify]: Simplify (* 1 1) into 1
5.796 * [backup-simplify]: Simplify (/ 1 1) into 1
5.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.797 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.797 * [taylor]: Taking taylor expansion of y in x
5.797 * [backup-simplify]: Simplify y into y
5.797 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.797 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.797 * [backup-simplify]: Simplify (+ 1 0) into 1
5.797 * [backup-simplify]: Simplify (sqrt 1) into 1
5.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.798 * [backup-simplify]: Simplify (+ 0 0) into 0
5.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.799 * [taylor]: Taking taylor expansion of 1 in y
5.799 * [backup-simplify]: Simplify 1 into 1
5.799 * [taylor]: Taking taylor expansion of 0 in y
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 1 into 1
5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.800 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.801 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.801 * [taylor]: Taking taylor expansion of 1/2 in y
5.801 * [backup-simplify]: Simplify 1/2 into 1/2
5.801 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.801 * [taylor]: Taking taylor expansion of y in y
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.802 * [backup-simplify]: Simplify (* 1 1) into 1
5.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.804 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.805 * [backup-simplify]: Simplify (+ 0 0) into 0
5.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.805 * [taylor]: Taking taylor expansion of 0 in y
5.805 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.807 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.807 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.807 * [taylor]: Taking taylor expansion of x in y
5.807 * [backup-simplify]: Simplify x into x
5.807 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.807 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.807 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.807 * [taylor]: Taking taylor expansion of y in y
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 1 into 1
5.808 * [backup-simplify]: Simplify (* 1 1) into 1
5.808 * [backup-simplify]: Simplify (/ 1 1) into 1
5.808 * [backup-simplify]: Simplify (+ 0 1) into 1
5.809 * [backup-simplify]: Simplify (sqrt 1) into 1
5.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.810 * [backup-simplify]: Simplify (+ 0 0) into 0
5.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.811 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.811 * [taylor]: Taking taylor expansion of x in x
5.811 * [backup-simplify]: Simplify 0 into 0
5.811 * [backup-simplify]: Simplify 1 into 1
5.811 * [backup-simplify]: Simplify (* 1 1) into 1
5.812 * [backup-simplify]: Simplify (/ 1 1) into 1
5.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.812 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.812 * [taylor]: Taking taylor expansion of y in x
5.812 * [backup-simplify]: Simplify y into y
5.812 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.812 * [backup-simplify]: Simplify (+ 1 0) into 1
5.813 * [backup-simplify]: Simplify (sqrt 1) into 1
5.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (+ 0 0) into 0
5.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.815 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.815 * [taylor]: Taking taylor expansion of x in x
5.815 * [backup-simplify]: Simplify 0 into 0
5.815 * [backup-simplify]: Simplify 1 into 1
5.815 * [backup-simplify]: Simplify (* 1 1) into 1
5.816 * [backup-simplify]: Simplify (/ 1 1) into 1
5.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.816 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.816 * [taylor]: Taking taylor expansion of y in x
5.816 * [backup-simplify]: Simplify y into y
5.816 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.816 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.816 * [backup-simplify]: Simplify (+ 1 0) into 1
5.817 * [backup-simplify]: Simplify (sqrt 1) into 1
5.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.823 * [backup-simplify]: Simplify (+ 0 0) into 0
5.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.824 * [taylor]: Taking taylor expansion of 1 in y
5.824 * [backup-simplify]: Simplify 1 into 1
5.824 * [taylor]: Taking taylor expansion of 0 in y
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 1 into 1
5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.826 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.828 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.828 * [taylor]: Taking taylor expansion of 1/2 in y
5.828 * [backup-simplify]: Simplify 1/2 into 1/2
5.828 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.828 * [taylor]: Taking taylor expansion of y in y
5.828 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify 1 into 1
5.828 * [backup-simplify]: Simplify (* 1 1) into 1
5.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.832 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.833 * [backup-simplify]: Simplify (+ 0 0) into 0
5.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.833 * [taylor]: Taking taylor expansion of 0 in y
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.835 * [backup-simplify]: Simplify 0 into 0
5.835 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.836 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1)
5.836 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.836 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.836 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.836 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.836 * [taylor]: Taking taylor expansion of x in y
5.836 * [backup-simplify]: Simplify x into x
5.836 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.836 * [taylor]: Taking taylor expansion of y in y
5.836 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify 1 into 1
5.836 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.837 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.837 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.837 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.837 * [backup-simplify]: Simplify (+ 0 0) into 0
5.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.838 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.838 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.838 * [taylor]: Taking taylor expansion of x in x
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 1 into 1
5.838 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.838 * [taylor]: Taking taylor expansion of y in x
5.838 * [backup-simplify]: Simplify y into y
5.838 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.838 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.838 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.838 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.839 * [backup-simplify]: Simplify (+ 0 0) into 0
5.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.839 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.839 * [taylor]: Taking taylor expansion of x in x
5.839 * [backup-simplify]: Simplify 0 into 0
5.839 * [backup-simplify]: Simplify 1 into 1
5.839 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.839 * [taylor]: Taking taylor expansion of y in x
5.839 * [backup-simplify]: Simplify y into y
5.839 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.839 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.839 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.840 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.840 * [backup-simplify]: Simplify (+ 0 0) into 0
5.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.840 * [taylor]: Taking taylor expansion of y in y
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify 1 into 1
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [taylor]: Taking taylor expansion of 0 in y
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify 1 into 1
5.841 * [backup-simplify]: Simplify (* 1 1) into 1
5.841 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.842 * [backup-simplify]: Simplify (+ 1 0) into 1
5.842 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.842 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.842 * [taylor]: Taking taylor expansion of 1/2 in y
5.842 * [backup-simplify]: Simplify 1/2 into 1/2
5.842 * [taylor]: Taking taylor expansion of y in y
5.842 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.843 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 0 into 0
5.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.844 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.844 * [backup-simplify]: Simplify (+ 0 0) into 0
5.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.845 * [taylor]: Taking taylor expansion of 0 in y
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.846 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.846 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.846 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.846 * [taylor]: Taking taylor expansion of x in y
5.846 * [backup-simplify]: Simplify x into x
5.846 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.846 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.846 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.846 * [taylor]: Taking taylor expansion of y in y
5.846 * [backup-simplify]: Simplify 0 into 0
5.846 * [backup-simplify]: Simplify 1 into 1
5.846 * [backup-simplify]: Simplify (* 1 1) into 1
5.846 * [backup-simplify]: Simplify (/ 1 1) into 1
5.847 * [backup-simplify]: Simplify (+ 0 1) into 1
5.847 * [backup-simplify]: Simplify (sqrt 1) into 1
5.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.848 * [backup-simplify]: Simplify (+ 0 0) into 0
5.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.848 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.848 * [taylor]: Taking taylor expansion of x in x
5.848 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify 1 into 1
5.849 * [backup-simplify]: Simplify (* 1 1) into 1
5.849 * [backup-simplify]: Simplify (/ 1 1) into 1
5.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.849 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.849 * [taylor]: Taking taylor expansion of y in x
5.849 * [backup-simplify]: Simplify y into y
5.849 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.849 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.849 * [backup-simplify]: Simplify (+ 1 0) into 1
5.850 * [backup-simplify]: Simplify (sqrt 1) into 1
5.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.851 * [backup-simplify]: Simplify (+ 0 0) into 0
5.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.852 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.852 * [taylor]: Taking taylor expansion of x in x
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify 1 into 1
5.852 * [backup-simplify]: Simplify (* 1 1) into 1
5.852 * [backup-simplify]: Simplify (/ 1 1) into 1
5.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.852 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.852 * [taylor]: Taking taylor expansion of y in x
5.852 * [backup-simplify]: Simplify y into y
5.852 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.852 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.853 * [backup-simplify]: Simplify (+ 1 0) into 1
5.853 * [backup-simplify]: Simplify (sqrt 1) into 1
5.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.854 * [backup-simplify]: Simplify (+ 0 0) into 0
5.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.855 * [taylor]: Taking taylor expansion of 1 in y
5.855 * [backup-simplify]: Simplify 1 into 1
5.855 * [taylor]: Taking taylor expansion of 0 in y
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 1 into 1
5.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.857 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.857 * [taylor]: Taking taylor expansion of 1/2 in y
5.857 * [backup-simplify]: Simplify 1/2 into 1/2
5.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.857 * [taylor]: Taking taylor expansion of y in y
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.857 * [backup-simplify]: Simplify (* 1 1) into 1
5.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.858 * [backup-simplify]: Simplify 0 into 0
5.858 * [backup-simplify]: Simplify 0 into 0
5.858 * [backup-simplify]: Simplify 0 into 0
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.860 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.861 * [backup-simplify]: Simplify (+ 0 0) into 0
5.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.861 * [taylor]: Taking taylor expansion of 0 in y
5.861 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.862 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.863 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.863 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.863 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.863 * [taylor]: Taking taylor expansion of x in y
5.863 * [backup-simplify]: Simplify x into x
5.863 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.863 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.863 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.863 * [taylor]: Taking taylor expansion of y in y
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [backup-simplify]: Simplify (* 1 1) into 1
5.863 * [backup-simplify]: Simplify (/ 1 1) into 1
5.864 * [backup-simplify]: Simplify (+ 0 1) into 1
5.864 * [backup-simplify]: Simplify (sqrt 1) into 1
5.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.865 * [backup-simplify]: Simplify (+ 0 0) into 0
5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.865 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.866 * [taylor]: Taking taylor expansion of x in x
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify 1 into 1
5.866 * [backup-simplify]: Simplify (* 1 1) into 1
5.866 * [backup-simplify]: Simplify (/ 1 1) into 1
5.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.866 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.866 * [taylor]: Taking taylor expansion of y in x
5.866 * [backup-simplify]: Simplify y into y
5.866 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.866 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.867 * [backup-simplify]: Simplify (+ 1 0) into 1
5.867 * [backup-simplify]: Simplify (sqrt 1) into 1
5.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.868 * [backup-simplify]: Simplify (+ 0 0) into 0
5.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.868 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.868 * [taylor]: Taking taylor expansion of x in x
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 1 into 1
5.869 * [backup-simplify]: Simplify (* 1 1) into 1
5.869 * [backup-simplify]: Simplify (/ 1 1) into 1
5.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.869 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.869 * [taylor]: Taking taylor expansion of y in x
5.869 * [backup-simplify]: Simplify y into y
5.869 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.869 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.869 * [backup-simplify]: Simplify (+ 1 0) into 1
5.870 * [backup-simplify]: Simplify (sqrt 1) into 1
5.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.871 * [backup-simplify]: Simplify (+ 0 0) into 0
5.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.871 * [taylor]: Taking taylor expansion of 1 in y
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [taylor]: Taking taylor expansion of 0 in y
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.872 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.873 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.873 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.873 * [taylor]: Taking taylor expansion of 1/2 in y
5.873 * [backup-simplify]: Simplify 1/2 into 1/2
5.873 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.873 * [taylor]: Taking taylor expansion of y in y
5.873 * [backup-simplify]: Simplify 0 into 0
5.873 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (* 1 1) into 1
5.874 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.875 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.876 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.876 * [backup-simplify]: Simplify (+ 0 0) into 0
5.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.877 * [taylor]: Taking taylor expansion of 0 in y
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.878 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
5.878 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.878 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.878 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.878 * [taylor]: Taking taylor expansion of x in y
5.878 * [backup-simplify]: Simplify x into x
5.878 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.878 * [taylor]: Taking taylor expansion of y in y
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 1 into 1
5.878 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.879 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.879 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.879 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.879 * [backup-simplify]: Simplify (+ 0 0) into 0
5.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.879 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.879 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.879 * [taylor]: Taking taylor expansion of x in x
5.879 * [backup-simplify]: Simplify 0 into 0
5.879 * [backup-simplify]: Simplify 1 into 1
5.879 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.879 * [taylor]: Taking taylor expansion of y in x
5.879 * [backup-simplify]: Simplify y into y
5.879 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.879 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.879 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.879 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.880 * [backup-simplify]: Simplify (+ 0 0) into 0
5.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.880 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.880 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.880 * [taylor]: Taking taylor expansion of x in x
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 1 into 1
5.880 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.880 * [taylor]: Taking taylor expansion of y in x
5.880 * [backup-simplify]: Simplify y into y
5.880 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.880 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.880 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.880 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.880 * [backup-simplify]: Simplify (+ 0 0) into 0
5.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.881 * [taylor]: Taking taylor expansion of y in y
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [taylor]: Taking taylor expansion of 0 in y
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify (* 1 1) into 1
5.881 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.882 * [backup-simplify]: Simplify (+ 1 0) into 1
5.882 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.882 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.882 * [taylor]: Taking taylor expansion of 1/2 in y
5.882 * [backup-simplify]: Simplify 1/2 into 1/2
5.882 * [taylor]: Taking taylor expansion of y in y
5.882 * [backup-simplify]: Simplify 0 into 0
5.882 * [backup-simplify]: Simplify 1 into 1
5.882 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.885 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.885 * [backup-simplify]: Simplify (+ 0 0) into 0
5.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.885 * [taylor]: Taking taylor expansion of 0 in y
5.885 * [backup-simplify]: Simplify 0 into 0
5.885 * [backup-simplify]: Simplify 0 into 0
5.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.886 * [backup-simplify]: Simplify 0 into 0
5.886 * [backup-simplify]: Simplify 0 into 0
5.887 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.887 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.887 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.887 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.887 * [taylor]: Taking taylor expansion of x in y
5.887 * [backup-simplify]: Simplify x into x
5.887 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.887 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.887 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.887 * [taylor]: Taking taylor expansion of y in y
5.887 * [backup-simplify]: Simplify 0 into 0
5.887 * [backup-simplify]: Simplify 1 into 1
5.888 * [backup-simplify]: Simplify (* 1 1) into 1
5.888 * [backup-simplify]: Simplify (/ 1 1) into 1
5.889 * [backup-simplify]: Simplify (+ 0 1) into 1
5.889 * [backup-simplify]: Simplify (sqrt 1) into 1
5.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.891 * [backup-simplify]: Simplify (+ 0 0) into 0
5.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.891 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.892 * [taylor]: Taking taylor expansion of x in x
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.892 * [backup-simplify]: Simplify (* 1 1) into 1
5.892 * [backup-simplify]: Simplify (/ 1 1) into 1
5.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.892 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.892 * [taylor]: Taking taylor expansion of y in x
5.892 * [backup-simplify]: Simplify y into y
5.892 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.893 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.893 * [backup-simplify]: Simplify (+ 1 0) into 1
5.893 * [backup-simplify]: Simplify (sqrt 1) into 1
5.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.895 * [backup-simplify]: Simplify (+ 0 0) into 0
5.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.896 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.896 * [taylor]: Taking taylor expansion of x in x
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify 1 into 1
5.896 * [backup-simplify]: Simplify (* 1 1) into 1
5.897 * [backup-simplify]: Simplify (/ 1 1) into 1
5.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.897 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.897 * [taylor]: Taking taylor expansion of y in x
5.897 * [backup-simplify]: Simplify y into y
5.897 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.897 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.898 * [backup-simplify]: Simplify (+ 1 0) into 1
5.898 * [backup-simplify]: Simplify (sqrt 1) into 1
5.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.900 * [backup-simplify]: Simplify (+ 0 0) into 0
5.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.901 * [taylor]: Taking taylor expansion of 1 in y
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [taylor]: Taking taylor expansion of 0 in y
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.904 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.904 * [taylor]: Taking taylor expansion of 1/2 in y
5.904 * [backup-simplify]: Simplify 1/2 into 1/2
5.904 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.904 * [taylor]: Taking taylor expansion of y in y
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify 1 into 1
5.905 * [backup-simplify]: Simplify (* 1 1) into 1
5.905 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 0 into 0
5.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.909 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.910 * [backup-simplify]: Simplify (+ 0 0) into 0
5.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.910 * [taylor]: Taking taylor expansion of 0 in y
5.910 * [backup-simplify]: Simplify 0 into 0
5.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.913 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.913 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.913 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.913 * [taylor]: Taking taylor expansion of x in y
5.913 * [backup-simplify]: Simplify x into x
5.913 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.913 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.913 * [taylor]: Taking taylor expansion of y in y
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify 1 into 1
5.914 * [backup-simplify]: Simplify (* 1 1) into 1
5.914 * [backup-simplify]: Simplify (/ 1 1) into 1
5.915 * [backup-simplify]: Simplify (+ 0 1) into 1
5.915 * [backup-simplify]: Simplify (sqrt 1) into 1
5.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.917 * [backup-simplify]: Simplify (+ 0 0) into 0
5.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.918 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.918 * [taylor]: Taking taylor expansion of x in x
5.918 * [backup-simplify]: Simplify 0 into 0
5.918 * [backup-simplify]: Simplify 1 into 1
5.918 * [backup-simplify]: Simplify (* 1 1) into 1
5.918 * [backup-simplify]: Simplify (/ 1 1) into 1
5.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.918 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.918 * [taylor]: Taking taylor expansion of y in x
5.918 * [backup-simplify]: Simplify y into y
5.918 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.919 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.919 * [backup-simplify]: Simplify (+ 1 0) into 1
5.919 * [backup-simplify]: Simplify (sqrt 1) into 1
5.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.920 * [backup-simplify]: Simplify (+ 0 0) into 0
5.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.921 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.921 * [taylor]: Taking taylor expansion of x in x
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.921 * [backup-simplify]: Simplify (* 1 1) into 1
5.921 * [backup-simplify]: Simplify (/ 1 1) into 1
5.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.921 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.921 * [taylor]: Taking taylor expansion of y in x
5.921 * [backup-simplify]: Simplify y into y
5.921 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.922 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.922 * [backup-simplify]: Simplify (+ 1 0) into 1
5.922 * [backup-simplify]: Simplify (sqrt 1) into 1
5.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.924 * [taylor]: Taking taylor expansion of 1 in y
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [taylor]: Taking taylor expansion of 0 in y
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.925 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.926 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.926 * [taylor]: Taking taylor expansion of 1/2 in y
5.926 * [backup-simplify]: Simplify 1/2 into 1/2
5.926 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.926 * [taylor]: Taking taylor expansion of y in y
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 1 into 1
5.926 * [backup-simplify]: Simplify (* 1 1) into 1
5.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.927 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.929 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.929 * [backup-simplify]: Simplify (+ 0 0) into 0
5.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.929 * [taylor]: Taking taylor expansion of 0 in y
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.931 * * * [progress]: simplifying candidates
5.932 * [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))))
  (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))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
5.933 * * [simplify]: Extracting # 0 : cost  0
5.933 * * [simplify]: Extracting # 1 : cost  0
5.933 * * [simplify]: Extracting # 2 : cost  0
5.933 * * [simplify]: Extracting # 3 : cost  0
5.933 * * [simplify]: Extracting # 4 : cost  0
5.933 * * [simplify]: Extracting # 5 : cost  0
5.933 * * [simplify]: Extracting # 6 : cost  0
5.933 * * [simplify]: iteration  0 :  38  enodes  (cost  852 )
5.945 * * [simplify]: Extracting # 0 : cost  0
5.945 * * [simplify]: Extracting # 1 : cost  0
5.945 * * [simplify]: Extracting # 2 : cost  0
5.946 * * [simplify]: Extracting # 3 : cost  0
5.946 * * [simplify]: Extracting # 4 : cost  0
5.946 * * [simplify]: iteration  1 :  91  enodes  (cost  744 )
5.967 * * [simplify]: Extracting # 0 : cost  0
5.967 * * [simplify]: Extracting # 1 : cost  0
5.968 * * [simplify]: Extracting # 2 : cost  0
5.968 * * [simplify]: Extracting # 3 : cost  0
5.968 * * [simplify]: Extracting # 4 : cost  0
5.968 * * [simplify]: iteration  2 :  205  enodes  (cost  680 )
6.064 * * [simplify]: Extracting # 0 : cost  0
6.065 * * [simplify]: Extracting # 1 : cost  0
6.066 * * [simplify]: Extracting # 2 : cost  0
6.066 * * [simplify]: Extracting # 3 : cost  0
6.067 * * [simplify]: Extracting # 4 : cost  0
6.068 * * [simplify]: iteration  3 :  444  enodes  (cost  656 )
6.295 * * [simplify]: Extracting # 0 : cost  0
6.296 * * [simplify]: Extracting # 1 : cost  0
6.297 * * [simplify]: Extracting # 2 : cost  0
6.298 * * [simplify]: Extracting # 3 : cost  0
6.299 * * [simplify]: iteration  4 :  1114  enodes  (cost  656 )
7.229 * * [simplify]: Extracting # 0 : cost  0
7.233 * * [simplify]: Extracting # 1 : cost  0
7.237 * * [simplify]: Extracting # 2 : cost  0
7.241 * * [simplify]: Extracting # 3 : cost  0
7.244 * * [simplify]: Extracting # 4 : cost  0
7.247 * * [simplify]: iteration  5 :  3182  enodes  (cost  656 )
8.602 * * [simplify]: Extracting # 0 : cost  0
8.607 * * [simplify]: Extracting # 1 : cost  0
8.614 * * [simplify]: Extracting # 2 : cost  0
8.622 * * [simplify]: Extracting # 3 : cost  0
8.630 * * [simplify]: Extracting # 4 : cost  0
8.643 * * [simplify]: iteration done:  5001  enodes  (cost  656 )
8.643 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (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))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (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))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (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))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
8.644 * * * [progress]: adding candidates to table
9.030 * * [progress]: iteration 4 / 4
9.030 * * * [progress]: picking best candidate
9.042 * * * * [pick]: Picked  #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>
9.042 * * * [progress]: localizing error
9.060 * * * [progress]: generating rewritten candidates
9.061 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
9.074 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
9.092 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1)
9.107 * * * [progress]: generating series expansions
9.107 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
9.107 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
9.107 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
9.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
9.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.108 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.108 * [taylor]: Taking taylor expansion of x in y
9.108 * [backup-simplify]: Simplify x into x
9.108 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.108 * [taylor]: Taking taylor expansion of y in y
9.108 * [backup-simplify]: Simplify 0 into 0
9.108 * [backup-simplify]: Simplify 1 into 1
9.108 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.108 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.108 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.108 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.109 * [backup-simplify]: Simplify (+ 0 0) into 0
9.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.109 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.109 * [taylor]: Taking taylor expansion of x in x
9.109 * [backup-simplify]: Simplify 0 into 0
9.109 * [backup-simplify]: Simplify 1 into 1
9.109 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.109 * [taylor]: Taking taylor expansion of y in x
9.109 * [backup-simplify]: Simplify y into y
9.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.109 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.109 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.110 * [backup-simplify]: Simplify (+ 0 0) into 0
9.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.110 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.110 * [taylor]: Taking taylor expansion of x in x
9.110 * [backup-simplify]: Simplify 0 into 0
9.110 * [backup-simplify]: Simplify 1 into 1
9.110 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.110 * [taylor]: Taking taylor expansion of y in x
9.110 * [backup-simplify]: Simplify y into y
9.110 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.111 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.111 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.111 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.111 * [backup-simplify]: Simplify (+ 0 0) into 0
9.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.111 * [taylor]: Taking taylor expansion of y in y
9.111 * [backup-simplify]: Simplify 0 into 0
9.111 * [backup-simplify]: Simplify 1 into 1
9.111 * [backup-simplify]: Simplify 0 into 0
9.111 * [taylor]: Taking taylor expansion of 0 in y
9.111 * [backup-simplify]: Simplify 0 into 0
9.111 * [backup-simplify]: Simplify 0 into 0
9.111 * [backup-simplify]: Simplify 1 into 1
9.112 * [backup-simplify]: Simplify (* 1 1) into 1
9.112 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.113 * [backup-simplify]: Simplify (+ 1 0) into 1
9.113 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
9.113 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
9.113 * [taylor]: Taking taylor expansion of 1/2 in y
9.113 * [backup-simplify]: Simplify 1/2 into 1/2
9.113 * [taylor]: Taking taylor expansion of y in y
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.116 * [backup-simplify]: Simplify (+ 0 0) into 0
9.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
9.116 * [taylor]: Taking taylor expansion of 0 in y
9.116 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.117 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
9.118 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.118 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.118 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.118 * [taylor]: Taking taylor expansion of x in y
9.118 * [backup-simplify]: Simplify x into x
9.118 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.118 * [taylor]: Taking taylor expansion of y in y
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 1 into 1
9.119 * [backup-simplify]: Simplify (* 1 1) into 1
9.119 * [backup-simplify]: Simplify (/ 1 1) into 1
9.119 * [backup-simplify]: Simplify (+ 0 1) into 1
9.120 * [backup-simplify]: Simplify (sqrt 1) into 1
9.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.121 * [backup-simplify]: Simplify (+ 0 0) into 0
9.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.122 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.122 * [taylor]: Taking taylor expansion of x in x
9.122 * [backup-simplify]: Simplify 0 into 0
9.122 * [backup-simplify]: Simplify 1 into 1
9.122 * [backup-simplify]: Simplify (* 1 1) into 1
9.123 * [backup-simplify]: Simplify (/ 1 1) into 1
9.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.123 * [taylor]: Taking taylor expansion of y in x
9.123 * [backup-simplify]: Simplify y into y
9.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.123 * [backup-simplify]: Simplify (+ 1 0) into 1
9.124 * [backup-simplify]: Simplify (sqrt 1) into 1
9.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.125 * [backup-simplify]: Simplify (+ 0 0) into 0
9.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.126 * [taylor]: Taking taylor expansion of x in x
9.126 * [backup-simplify]: Simplify 0 into 0
9.126 * [backup-simplify]: Simplify 1 into 1
9.126 * [backup-simplify]: Simplify (* 1 1) into 1
9.127 * [backup-simplify]: Simplify (/ 1 1) into 1
9.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.127 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.127 * [taylor]: Taking taylor expansion of y in x
9.127 * [backup-simplify]: Simplify y into y
9.127 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.127 * [backup-simplify]: Simplify (+ 1 0) into 1
9.128 * [backup-simplify]: Simplify (sqrt 1) into 1
9.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.129 * [backup-simplify]: Simplify (+ 0 0) into 0
9.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.130 * [taylor]: Taking taylor expansion of 1 in y
9.130 * [backup-simplify]: Simplify 1 into 1
9.130 * [taylor]: Taking taylor expansion of 0 in y
9.130 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify 1 into 1
9.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.133 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.133 * [taylor]: Taking taylor expansion of 1/2 in y
9.133 * [backup-simplify]: Simplify 1/2 into 1/2
9.133 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.133 * [taylor]: Taking taylor expansion of y in y
9.133 * [backup-simplify]: Simplify 0 into 0
9.133 * [backup-simplify]: Simplify 1 into 1
9.133 * [backup-simplify]: Simplify (* 1 1) into 1
9.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify 0 into 0
9.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.137 * [backup-simplify]: Simplify (+ 0 0) into 0
9.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.138 * [taylor]: Taking taylor expansion of 0 in y
9.138 * [backup-simplify]: Simplify 0 into 0
9.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.140 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.140 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.140 * [taylor]: Taking taylor expansion of x in y
9.140 * [backup-simplify]: Simplify x into x
9.140 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.141 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.141 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.141 * [taylor]: Taking taylor expansion of y in y
9.141 * [backup-simplify]: Simplify 0 into 0
9.141 * [backup-simplify]: Simplify 1 into 1
9.141 * [backup-simplify]: Simplify (* 1 1) into 1
9.141 * [backup-simplify]: Simplify (/ 1 1) into 1
9.142 * [backup-simplify]: Simplify (+ 0 1) into 1
9.142 * [backup-simplify]: Simplify (sqrt 1) into 1
9.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.144 * [backup-simplify]: Simplify (+ 0 0) into 0
9.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.144 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.144 * [taylor]: Taking taylor expansion of x in x
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [backup-simplify]: Simplify 1 into 1
9.145 * [backup-simplify]: Simplify (* 1 1) into 1
9.145 * [backup-simplify]: Simplify (/ 1 1) into 1
9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.145 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.145 * [taylor]: Taking taylor expansion of y in x
9.145 * [backup-simplify]: Simplify y into y
9.145 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.146 * [backup-simplify]: Simplify (+ 1 0) into 1
9.146 * [backup-simplify]: Simplify (sqrt 1) into 1
9.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.147 * [backup-simplify]: Simplify (+ 0 0) into 0
9.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.148 * [taylor]: Taking taylor expansion of x in x
9.148 * [backup-simplify]: Simplify 0 into 0
9.148 * [backup-simplify]: Simplify 1 into 1
9.149 * [backup-simplify]: Simplify (* 1 1) into 1
9.149 * [backup-simplify]: Simplify (/ 1 1) into 1
9.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.149 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.149 * [taylor]: Taking taylor expansion of y in x
9.149 * [backup-simplify]: Simplify y into y
9.149 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.150 * [backup-simplify]: Simplify (+ 1 0) into 1
9.150 * [backup-simplify]: Simplify (sqrt 1) into 1
9.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.151 * [backup-simplify]: Simplify (+ 0 0) into 0
9.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.152 * [taylor]: Taking taylor expansion of 1 in y
9.152 * [backup-simplify]: Simplify 1 into 1
9.152 * [taylor]: Taking taylor expansion of 0 in y
9.152 * [backup-simplify]: Simplify 0 into 0
9.152 * [backup-simplify]: Simplify 1 into 1
9.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.155 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.155 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.155 * [taylor]: Taking taylor expansion of 1/2 in y
9.155 * [backup-simplify]: Simplify 1/2 into 1/2
9.155 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.155 * [taylor]: Taking taylor expansion of y in y
9.155 * [backup-simplify]: Simplify 0 into 0
9.155 * [backup-simplify]: Simplify 1 into 1
9.156 * [backup-simplify]: Simplify (* 1 1) into 1
9.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.163 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify 0 into 0
9.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.165 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.166 * [backup-simplify]: Simplify (+ 0 0) into 0
9.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.166 * [taylor]: Taking taylor expansion of 0 in y
9.166 * [backup-simplify]: Simplify 0 into 0
9.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.168 * * * * [progress]: [ 2 / 3 ] generating series at (2)
9.169 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2)))
9.169 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
9.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
9.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.169 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.169 * [taylor]: Taking taylor expansion of x in y
9.169 * [backup-simplify]: Simplify x into x
9.169 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.169 * [taylor]: Taking taylor expansion of y in y
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [backup-simplify]: Simplify 1 into 1
9.169 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.169 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.169 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.169 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.170 * [backup-simplify]: Simplify (+ 0 0) into 0
9.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.170 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.170 * [taylor]: Taking taylor expansion of x in x
9.170 * [backup-simplify]: Simplify 0 into 0
9.170 * [backup-simplify]: Simplify 1 into 1
9.170 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.170 * [taylor]: Taking taylor expansion of y in x
9.170 * [backup-simplify]: Simplify y into y
9.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.171 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.171 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.171 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.171 * [backup-simplify]: Simplify (+ 0 0) into 0
9.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.171 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.171 * [taylor]: Taking taylor expansion of x in x
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify 1 into 1
9.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.172 * [taylor]: Taking taylor expansion of y in x
9.172 * [backup-simplify]: Simplify y into y
9.172 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.172 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.172 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.172 * [backup-simplify]: Simplify (+ 0 0) into 0
9.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.173 * [taylor]: Taking taylor expansion of y in y
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify 1 into 1
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [taylor]: Taking taylor expansion of 0 in y
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify 1 into 1
9.173 * [backup-simplify]: Simplify (* 1 1) into 1
9.173 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.174 * [backup-simplify]: Simplify (+ 1 0) into 1
9.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
9.175 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
9.175 * [taylor]: Taking taylor expansion of 1/2 in y
9.175 * [backup-simplify]: Simplify 1/2 into 1/2
9.175 * [taylor]: Taking taylor expansion of y in y
9.175 * [backup-simplify]: Simplify 0 into 0
9.175 * [backup-simplify]: Simplify 1 into 1
9.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.176 * [backup-simplify]: Simplify 0 into 0
9.176 * [backup-simplify]: Simplify 0 into 0
9.176 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.177 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.178 * [backup-simplify]: Simplify (+ 0 0) into 0
9.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
9.178 * [taylor]: Taking taylor expansion of 0 in y
9.178 * [backup-simplify]: Simplify 0 into 0
9.178 * [backup-simplify]: Simplify 0 into 0
9.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.179 * [backup-simplify]: Simplify 0 into 0
9.179 * [backup-simplify]: Simplify 0 into 0
9.179 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
9.180 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.180 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.180 * [taylor]: Taking taylor expansion of x in y
9.180 * [backup-simplify]: Simplify x into x
9.180 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.180 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.180 * [taylor]: Taking taylor expansion of y in y
9.180 * [backup-simplify]: Simplify 0 into 0
9.180 * [backup-simplify]: Simplify 1 into 1
9.181 * [backup-simplify]: Simplify (* 1 1) into 1
9.181 * [backup-simplify]: Simplify (/ 1 1) into 1
9.181 * [backup-simplify]: Simplify (+ 0 1) into 1
9.182 * [backup-simplify]: Simplify (sqrt 1) into 1
9.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.183 * [backup-simplify]: Simplify (+ 0 0) into 0
9.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.184 * [taylor]: Taking taylor expansion of x in x
9.184 * [backup-simplify]: Simplify 0 into 0
9.184 * [backup-simplify]: Simplify 1 into 1
9.185 * [backup-simplify]: Simplify (* 1 1) into 1
9.185 * [backup-simplify]: Simplify (/ 1 1) into 1
9.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.185 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.185 * [taylor]: Taking taylor expansion of y in x
9.185 * [backup-simplify]: Simplify y into y
9.185 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.186 * [backup-simplify]: Simplify (+ 1 0) into 1
9.186 * [backup-simplify]: Simplify (sqrt 1) into 1
9.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.188 * [backup-simplify]: Simplify (+ 0 0) into 0
9.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.189 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.189 * [taylor]: Taking taylor expansion of x in x
9.189 * [backup-simplify]: Simplify 0 into 0
9.189 * [backup-simplify]: Simplify 1 into 1
9.189 * [backup-simplify]: Simplify (* 1 1) into 1
9.189 * [backup-simplify]: Simplify (/ 1 1) into 1
9.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.190 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.190 * [taylor]: Taking taylor expansion of y in x
9.190 * [backup-simplify]: Simplify y into y
9.190 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.190 * [backup-simplify]: Simplify (+ 1 0) into 1
9.190 * [backup-simplify]: Simplify (sqrt 1) into 1
9.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.192 * [backup-simplify]: Simplify (+ 0 0) into 0
9.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.193 * [taylor]: Taking taylor expansion of 1 in y
9.193 * [backup-simplify]: Simplify 1 into 1
9.193 * [taylor]: Taking taylor expansion of 0 in y
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 1 into 1
9.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.194 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.196 * [taylor]: Taking taylor expansion of 1/2 in y
9.196 * [backup-simplify]: Simplify 1/2 into 1/2
9.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.196 * [taylor]: Taking taylor expansion of y in y
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify 1 into 1
9.196 * [backup-simplify]: Simplify (* 1 1) into 1
9.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.200 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.200 * [backup-simplify]: Simplify (+ 0 0) into 0
9.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.201 * [taylor]: Taking taylor expansion of 0 in y
9.201 * [backup-simplify]: Simplify 0 into 0
9.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.202 * [backup-simplify]: Simplify 0 into 0
9.202 * [backup-simplify]: Simplify 0 into 0
9.202 * [backup-simplify]: Simplify 0 into 0
9.203 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.203 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.203 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.203 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.203 * [taylor]: Taking taylor expansion of x in y
9.203 * [backup-simplify]: Simplify x into x
9.203 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.203 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.203 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.204 * [taylor]: Taking taylor expansion of y in y
9.204 * [backup-simplify]: Simplify 0 into 0
9.204 * [backup-simplify]: Simplify 1 into 1
9.204 * [backup-simplify]: Simplify (* 1 1) into 1
9.204 * [backup-simplify]: Simplify (/ 1 1) into 1
9.205 * [backup-simplify]: Simplify (+ 0 1) into 1
9.205 * [backup-simplify]: Simplify (sqrt 1) into 1
9.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.206 * [backup-simplify]: Simplify (+ 0 0) into 0
9.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.207 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.207 * [taylor]: Taking taylor expansion of x in x
9.207 * [backup-simplify]: Simplify 0 into 0
9.207 * [backup-simplify]: Simplify 1 into 1
9.207 * [backup-simplify]: Simplify (* 1 1) into 1
9.208 * [backup-simplify]: Simplify (/ 1 1) into 1
9.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.208 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.208 * [taylor]: Taking taylor expansion of y in x
9.208 * [backup-simplify]: Simplify y into y
9.208 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.208 * [backup-simplify]: Simplify (+ 1 0) into 1
9.209 * [backup-simplify]: Simplify (sqrt 1) into 1
9.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.210 * [backup-simplify]: Simplify (+ 0 0) into 0
9.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.211 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.211 * [taylor]: Taking taylor expansion of x in x
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify 1 into 1
9.211 * [backup-simplify]: Simplify (* 1 1) into 1
9.212 * [backup-simplify]: Simplify (/ 1 1) into 1
9.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.212 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.212 * [taylor]: Taking taylor expansion of y in x
9.212 * [backup-simplify]: Simplify y into y
9.212 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.212 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.212 * [backup-simplify]: Simplify (+ 1 0) into 1
9.213 * [backup-simplify]: Simplify (sqrt 1) into 1
9.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.214 * [backup-simplify]: Simplify (+ 0 0) into 0
9.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.215 * [taylor]: Taking taylor expansion of 1 in y
9.215 * [backup-simplify]: Simplify 1 into 1
9.215 * [taylor]: Taking taylor expansion of 0 in y
9.215 * [backup-simplify]: Simplify 0 into 0
9.215 * [backup-simplify]: Simplify 1 into 1
9.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.218 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.218 * [taylor]: Taking taylor expansion of 1/2 in y
9.218 * [backup-simplify]: Simplify 1/2 into 1/2
9.218 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.218 * [taylor]: Taking taylor expansion of y in y
9.218 * [backup-simplify]: Simplify 0 into 0
9.218 * [backup-simplify]: Simplify 1 into 1
9.218 * [backup-simplify]: Simplify (* 1 1) into 1
9.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.220 * [backup-simplify]: Simplify 0 into 0
9.220 * [backup-simplify]: Simplify 0 into 0
9.220 * [backup-simplify]: Simplify 0 into 0
9.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.222 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.222 * [backup-simplify]: Simplify (+ 0 0) into 0
9.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.223 * [taylor]: Taking taylor expansion of 0 in y
9.223 * [backup-simplify]: Simplify 0 into 0
9.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.225 * [backup-simplify]: Simplify 0 into 0
9.225 * [backup-simplify]: Simplify 0 into 0
9.225 * [backup-simplify]: Simplify 0 into 0
9.225 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.225 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1)
9.225 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
9.225 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
9.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.225 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.225 * [taylor]: Taking taylor expansion of x in y
9.225 * [backup-simplify]: Simplify x into x
9.225 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.225 * [taylor]: Taking taylor expansion of y in y
9.225 * [backup-simplify]: Simplify 0 into 0
9.225 * [backup-simplify]: Simplify 1 into 1
9.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.225 * [taylor]: Taking taylor expansion of x in x
9.225 * [backup-simplify]: Simplify 0 into 0
9.225 * [backup-simplify]: Simplify 1 into 1
9.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.225 * [taylor]: Taking taylor expansion of y in x
9.225 * [backup-simplify]: Simplify y into y
9.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.226 * [taylor]: Taking taylor expansion of x in x
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 1 into 1
9.226 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.226 * [taylor]: Taking taylor expansion of y in x
9.226 * [backup-simplify]: Simplify y into y
9.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.226 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.226 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.226 * [taylor]: Taking taylor expansion of y in y
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 1 into 1
9.226 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.226 * [backup-simplify]: Simplify (+ 0 0) into 0
9.226 * [taylor]: Taking taylor expansion of 0 in y
9.226 * [backup-simplify]: Simplify 0 into 0
9.227 * [backup-simplify]: Simplify 0 into 0
9.227 * [backup-simplify]: Simplify (* 1 1) into 1
9.227 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.228 * [backup-simplify]: Simplify (+ 1 0) into 1
9.228 * [taylor]: Taking taylor expansion of 1 in y
9.228 * [backup-simplify]: Simplify 1 into 1
9.228 * [backup-simplify]: Simplify 1 into 1
9.228 * [backup-simplify]: Simplify 0 into 0
9.228 * [backup-simplify]: Simplify (* 1 1) into 1
9.228 * [backup-simplify]: Simplify 1 into 1
9.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.230 * [backup-simplify]: Simplify (+ 0 0) into 0
9.230 * [taylor]: Taking taylor expansion of 0 in y
9.230 * [backup-simplify]: Simplify 0 into 0
9.230 * [backup-simplify]: Simplify 0 into 0
9.230 * [backup-simplify]: Simplify 0 into 0
9.230 * [backup-simplify]: Simplify 0 into 0
9.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.230 * [backup-simplify]: Simplify 0 into 0
9.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.232 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.232 * [backup-simplify]: Simplify (+ 0 0) into 0
9.233 * [taylor]: Taking taylor expansion of 0 in y
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
9.233 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.233 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
9.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.233 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.233 * [taylor]: Taking taylor expansion of x in y
9.233 * [backup-simplify]: Simplify x into x
9.233 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.234 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.234 * [taylor]: Taking taylor expansion of y in y
9.234 * [backup-simplify]: Simplify 0 into 0
9.234 * [backup-simplify]: Simplify 1 into 1
9.234 * [backup-simplify]: Simplify (* 1 1) into 1
9.234 * [backup-simplify]: Simplify (/ 1 1) into 1
9.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.234 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.234 * [taylor]: Taking taylor expansion of x in x
9.234 * [backup-simplify]: Simplify 0 into 0
9.234 * [backup-simplify]: Simplify 1 into 1
9.235 * [backup-simplify]: Simplify (* 1 1) into 1
9.235 * [backup-simplify]: Simplify (/ 1 1) into 1
9.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.235 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.235 * [taylor]: Taking taylor expansion of y in x
9.235 * [backup-simplify]: Simplify y into y
9.235 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.235 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.235 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.236 * [taylor]: Taking taylor expansion of x in x
9.236 * [backup-simplify]: Simplify 0 into 0
9.236 * [backup-simplify]: Simplify 1 into 1
9.236 * [backup-simplify]: Simplify (* 1 1) into 1
9.236 * [backup-simplify]: Simplify (/ 1 1) into 1
9.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.236 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.236 * [taylor]: Taking taylor expansion of y in x
9.236 * [backup-simplify]: Simplify y into y
9.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.237 * [backup-simplify]: Simplify (+ 1 0) into 1
9.237 * [taylor]: Taking taylor expansion of 1 in y
9.237 * [backup-simplify]: Simplify 1 into 1
9.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.238 * [backup-simplify]: Simplify (+ 0 0) into 0
9.238 * [taylor]: Taking taylor expansion of 0 in y
9.238 * [backup-simplify]: Simplify 0 into 0
9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.240 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.240 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.240 * [taylor]: Taking taylor expansion of y in y
9.240 * [backup-simplify]: Simplify 0 into 0
9.240 * [backup-simplify]: Simplify 1 into 1
9.240 * [backup-simplify]: Simplify (* 1 1) into 1
9.241 * [backup-simplify]: Simplify (/ 1 1) into 1
9.241 * [backup-simplify]: Simplify 1 into 1
9.241 * [backup-simplify]: Simplify 1 into 1
9.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.243 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.243 * [backup-simplify]: Simplify (+ 0 0) into 0
9.243 * [taylor]: Taking taylor expansion of 0 in y
9.243 * [backup-simplify]: Simplify 0 into 0
9.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.244 * [backup-simplify]: Simplify 0 into 0
9.244 * [backup-simplify]: Simplify 0 into 0
9.244 * [backup-simplify]: Simplify 0 into 0
9.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.247 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.247 * [backup-simplify]: Simplify (+ 0 0) into 0
9.247 * [taylor]: Taking taylor expansion of 0 in y
9.247 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.249 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
9.250 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.250 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
9.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.250 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.250 * [taylor]: Taking taylor expansion of x in y
9.250 * [backup-simplify]: Simplify x into x
9.250 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.250 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.250 * [taylor]: Taking taylor expansion of y in y
9.250 * [backup-simplify]: Simplify 0 into 0
9.250 * [backup-simplify]: Simplify 1 into 1
9.250 * [backup-simplify]: Simplify (* 1 1) into 1
9.251 * [backup-simplify]: Simplify (/ 1 1) into 1
9.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.251 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.251 * [taylor]: Taking taylor expansion of x in x
9.251 * [backup-simplify]: Simplify 0 into 0
9.251 * [backup-simplify]: Simplify 1 into 1
9.251 * [backup-simplify]: Simplify (* 1 1) into 1
9.251 * [backup-simplify]: Simplify (/ 1 1) into 1
9.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.252 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.252 * [taylor]: Taking taylor expansion of y in x
9.252 * [backup-simplify]: Simplify y into y
9.252 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.252 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.252 * [taylor]: Taking taylor expansion of x in x
9.252 * [backup-simplify]: Simplify 0 into 0
9.252 * [backup-simplify]: Simplify 1 into 1
9.252 * [backup-simplify]: Simplify (* 1 1) into 1
9.253 * [backup-simplify]: Simplify (/ 1 1) into 1
9.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.253 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.253 * [taylor]: Taking taylor expansion of y in x
9.253 * [backup-simplify]: Simplify y into y
9.253 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.253 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.253 * [backup-simplify]: Simplify (+ 1 0) into 1
9.253 * [taylor]: Taking taylor expansion of 1 in y
9.253 * [backup-simplify]: Simplify 1 into 1
9.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.255 * [backup-simplify]: Simplify (+ 0 0) into 0
9.255 * [taylor]: Taking taylor expansion of 0 in y
9.255 * [backup-simplify]: Simplify 0 into 0
9.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.256 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.256 * [taylor]: Taking taylor expansion of y in y
9.257 * [backup-simplify]: Simplify 0 into 0
9.257 * [backup-simplify]: Simplify 1 into 1
9.257 * [backup-simplify]: Simplify (* 1 1) into 1
9.257 * [backup-simplify]: Simplify (/ 1 1) into 1
9.257 * [backup-simplify]: Simplify 1 into 1
9.257 * [backup-simplify]: Simplify 1 into 1
9.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.259 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.259 * [backup-simplify]: Simplify (+ 0 0) into 0
9.259 * [taylor]: Taking taylor expansion of 0 in y
9.260 * [backup-simplify]: Simplify 0 into 0
9.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.261 * [backup-simplify]: Simplify 0 into 0
9.261 * [backup-simplify]: Simplify 0 into 0
9.261 * [backup-simplify]: Simplify 0 into 0
9.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.263 * [backup-simplify]: Simplify (+ 0 0) into 0
9.264 * [taylor]: Taking taylor expansion of 0 in y
9.264 * [backup-simplify]: Simplify 0 into 0
9.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.265 * [backup-simplify]: Simplify 0 into 0
9.265 * [backup-simplify]: Simplify 0 into 0
9.265 * [backup-simplify]: Simplify 0 into 0
9.265 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
9.266 * * * [progress]: simplifying candidates
9.267 * [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))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* y y))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (exp (log (sqrt (cbrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* x x) (* y y)))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* x x) (* y y)))))
  (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (exp (log (sqrt (- (* x x) (* y y)))))
  (log (exp (log (sqrt (+ (* x x) (* y y))))))
  (exp (exp (log (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))))
  (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))
  (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y))))))
  (sqrt (exp (log (sqrt (+ (* x x) (* y y))))))
  (sqrt (exp (log (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))
9.268 * * [simplify]: Extracting # 0 : cost  0
9.268 * * [simplify]: Extracting # 1 : cost  0
9.268 * * [simplify]: Extracting # 2 : cost  0
9.268 * * [simplify]: Extracting # 3 : cost  0
9.268 * * [simplify]: Extracting # 4 : cost  0
9.268 * * [simplify]: Extracting # 5 : cost  0
9.268 * * [simplify]: Extracting # 6 : cost  0
9.268 * * [simplify]: iteration  0 :  87  enodes  (cost  739 )
9.302 * * [simplify]: Extracting # 0 : cost  0
9.302 * * [simplify]: Extracting # 1 : cost  0
9.302 * * [simplify]: Extracting # 2 : cost  0
9.303 * * [simplify]: Extracting # 3 : cost  0
9.303 * * [simplify]: Extracting # 4 : cost  0
9.303 * * [simplify]: iteration  1 :  169  enodes  (cost  626 )
9.372 * * [simplify]: Extracting # 0 : cost  0
9.372 * * [simplify]: Extracting # 1 : cost  0
9.373 * * [simplify]: Extracting # 2 : cost  0
9.373 * * [simplify]: Extracting # 3 : cost  0
9.374 * * [simplify]: Extracting # 4 : cost  0
9.374 * * [simplify]: iteration  2 :  398  enodes  (cost  534 )
9.579 * * [simplify]: Extracting # 0 : cost  0
9.580 * * [simplify]: Extracting # 1 : cost  0
9.581 * * [simplify]: Extracting # 2 : cost  0
9.581 * * [simplify]: Extracting # 3 : cost  0
9.582 * * [simplify]: Extracting # 4 : cost  0
9.583 * * [simplify]: iteration  3 :  1056  enodes  (cost  534 )
10.226 * * [simplify]: Extracting # 0 : cost  0
10.230 * * [simplify]: Extracting # 1 : cost  0
10.233 * * [simplify]: Extracting # 2 : cost  0
10.237 * * [simplify]: Extracting # 3 : cost  0
10.240 * * [simplify]: Extracting # 4 : cost  0
10.243 * * [simplify]: iteration  4 :  2807  enodes  (cost  528 )
11.433 * * [simplify]: Extracting # 0 : cost  0
11.439 * * [simplify]: Extracting # 1 : cost  0
11.446 * * [simplify]: Extracting # 2 : cost  0
11.457 * * [simplify]: Extracting # 3 : cost  0
11.463 * * [simplify]: Extracting # 4 : cost  0
11.469 * * [simplify]: Extracting # 5 : cost  0
11.475 * * [simplify]: iteration done:  5001  enodes  (cost  528 )
11.475 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp 1/2)
  E
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* y y))))))
  E
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
11.476 * * * [progress]: adding candidates to table
11.616 * [progress]: [Phase 3 of 3] Extracting.
11.616 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.617 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
11.617 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.647 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.680 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.722 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.756 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.809 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.831 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.884 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>)
11.903 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.952 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.997 * * * [regime]: Found split indices: #<option (#s(si 8 34) #s(si 1 211) #s(si 2 255))>
11.997 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
12.040 * [regimes]: Found splitpoints: (#s(sp 8 x -1.1564076018637175e+112) #s(sp 1 x 1.3595155319523303e+138) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
12.041 * [simplify]: Simplifying:
  (if (<= x -1.1564076018637175e+112) (- x) (if (<= x 1.3595155319523303e+138) (sqrt (+ (* x x) (* y y))) x))
12.041 * * [simplify]: Extracting # 0 : cost  0
12.041 * * [simplify]: Extracting # 1 : cost  0
12.041 * * [simplify]: Extracting # 2 : cost  0
12.041 * * [simplify]: Extracting # 3 : cost  0
12.041 * * [simplify]: Extracting # 4 : cost  0
12.041 * * [simplify]: Extracting # 5 : cost  0
12.041 * * [simplify]: Extracting # 6 : cost  0
12.041 * * [simplify]: Extracting # 7 : cost  0
12.041 * * [simplify]: Extracting # 8 : cost  0
12.041 * * [simplify]: Extracting # 9 : cost  0
12.041 * * [simplify]: iteration  0 :  13  enodes  (cost  19 )
12.042 * * [simplify]: Extracting # 0 : cost  0
12.042 * * [simplify]: iteration  1 :  14  enodes  (cost  19 )
12.043 * * [simplify]: Extracting # 0 : cost  0
12.043 * * [simplify]: iteration done:  14  enodes  (cost  19 )
12.043 * [simplify]: Simplified to:
  (if (<= x -1.1564076018637175e+112) (- x) (if (<= x 1.3595155319523303e+138) (sqrt (+ (* x x) (* y y))) x))
13.127 * [regime-testing]: Baseline error score: 31.60898001601765
13.130 * [regime-testing]: Oracle error score: 7.884190684029036
13.138 * [regime-testing]: End program error score: 17.792082895301338
13.174 * [regime-testing]: Target error score: 17.829435822792775