15.836 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.017 * * * [progress]: [2/2] Setting up program.
0.019 * [progress]: [Phase 2 of 3] Improving.
0.019 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.020 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) (* h0 h0)))
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.024 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.024 * * * [progress]: localizing error
0.033 * * * [progress]: generating rewritten candidates
0.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.058 * * * [progress]: generating series expansions
0.058 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.058 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.058 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.058 * [taylor]: Taking taylor expansion of x in y
0.058 * [backup-simplify]: Simplify x into x
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.058 * [taylor]: Taking taylor expansion of y in y
0.058 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.059 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.059 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.059 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.060 * [taylor]: Taking taylor expansion of x in x
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.060 * [taylor]: Taking taylor expansion of y in x
0.060 * [backup-simplify]: Simplify y into y
0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.060 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.060 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.061 * [taylor]: Taking taylor expansion of x in x
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 1 into 1
0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.061 * [taylor]: Taking taylor expansion of y in x
0.061 * [backup-simplify]: Simplify y into y
0.061 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.061 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.061 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.061 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.062 * [taylor]: Taking taylor expansion of y in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (* 1 1) into 1
0.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.063 * [backup-simplify]: Simplify (+ 1 0) into 1
0.064 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.064 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.064 * [taylor]: Taking taylor expansion of 1/2 in y
0.064 * [backup-simplify]: Simplify 1/2 into 1/2
0.064 * [taylor]: Taking taylor expansion of y in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.068 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.068 * [taylor]: Taking taylor expansion of x in y
0.068 * [backup-simplify]: Simplify x into x
0.068 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.068 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.068 * [taylor]: Taking taylor expansion of y in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.069 * [backup-simplify]: Simplify (/ 1 1) into 1
0.069 * [backup-simplify]: Simplify (+ 0 1) into 1
0.070 * [backup-simplify]: Simplify (sqrt 1) into 1
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (* 1 1) into 1
0.072 * [backup-simplify]: Simplify (/ 1 1) into 1
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.072 * [taylor]: Taking taylor expansion of y in x
0.072 * [backup-simplify]: Simplify y into y
0.072 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.072 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.072 * [backup-simplify]: Simplify (+ 1 0) into 1
0.072 * [backup-simplify]: Simplify (sqrt 1) into 1
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.074 * [taylor]: Taking taylor expansion of x in x
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [backup-simplify]: Simplify (* 1 1) into 1
0.074 * [backup-simplify]: Simplify (/ 1 1) into 1
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.074 * [backup-simplify]: Simplify y into y
0.074 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.075 * [backup-simplify]: Simplify (+ 1 0) into 1
0.075 * [backup-simplify]: Simplify (sqrt 1) into 1
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.077 * [taylor]: Taking taylor expansion of 1 in y
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.088 * [taylor]: Taking taylor expansion of 1/2 in y
0.089 * [backup-simplify]: Simplify 1/2 into 1/2
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [backup-simplify]: Simplify (* 1 1) into 1
0.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.095 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.095 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.096 * [taylor]: Taking taylor expansion of x in y
0.096 * [backup-simplify]: Simplify x into x
0.096 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.096 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [backup-simplify]: Simplify (+ 0 1) into 1
0.097 * [backup-simplify]: Simplify (sqrt 1) into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.099 * [taylor]: Taking taylor expansion of x in x
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 1) into 1
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.100 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.100 * [taylor]: Taking taylor expansion of y in x
0.100 * [backup-simplify]: Simplify y into y
0.100 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.100 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.100 * [backup-simplify]: Simplify (+ 1 0) into 1
0.100 * [backup-simplify]: Simplify (sqrt 1) into 1
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.102 * [taylor]: Taking taylor expansion of x in x
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (* 1 1) into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.102 * [taylor]: Taking taylor expansion of y in x
0.102 * [backup-simplify]: Simplify y into y
0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.103 * [backup-simplify]: Simplify (+ 1 0) into 1
0.103 * [backup-simplify]: Simplify (sqrt 1) into 1
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.105 * [taylor]: Taking taylor expansion of 1 in y
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.107 * [taylor]: Taking taylor expansion of 1/2 in y
0.107 * [backup-simplify]: Simplify 1/2 into 1/2
0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.107 * [taylor]: Taking taylor expansion of y in y
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.113 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.113 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.113 * [taylor]: Taking taylor expansion of x in y
0.113 * [backup-simplify]: Simplify x into x
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.113 * [taylor]: Taking taylor expansion of y in y
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.113 * [taylor]: Taking taylor expansion of x in x
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.113 * [taylor]: Taking taylor expansion of y in x
0.113 * [backup-simplify]: Simplify y into y
0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.113 * [taylor]: Taking taylor expansion of x in x
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.113 * [taylor]: Taking taylor expansion of y in x
0.113 * [backup-simplify]: Simplify y into y
0.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.113 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.114 * [taylor]: Taking taylor expansion of y in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [taylor]: Taking taylor expansion of 0 in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.115 * [backup-simplify]: Simplify (+ 1 0) into 1
0.115 * [taylor]: Taking taylor expansion of 1 in y
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [taylor]: Taking taylor expansion of 0 in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.120 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.120 * [taylor]: Taking taylor expansion of x in y
0.120 * [backup-simplify]: Simplify x into x
0.120 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.120 * [taylor]: Taking taylor expansion of y in y
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 x 2)) (/ 1 (pow y 2))) in x
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.121 * [taylor]: Taking taylor expansion of x in x
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (* 1 1) into 1
0.122 * [backup-simplify]: Simplify (/ 1 1) into 1
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.122 * [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))
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.122 * [taylor]: Taking taylor expansion of x in x
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (/ 1 1) into 1
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.123 * [taylor]: Taking taylor expansion of y in x
0.123 * [backup-simplify]: Simplify y into y
0.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.123 * [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
0.125 * [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
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [taylor]: Taking taylor expansion of 0 in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [taylor]: Taking taylor expansion of 0 in y
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [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))
0.135 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.135 * [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
0.136 * [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))
0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.138 * [taylor]: Taking taylor expansion of x in x
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [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))
0.139 * [backup-simplify]: Simplify (+ 1 0) into 1
0.139 * [taylor]: Taking taylor expansion of 1 in y
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.140 * [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
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.142 * [taylor]: Taking taylor expansion of y in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.147 * [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
0.148 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.148 * [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
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.150 * * * [progress]: simplifying candidates
0.151 * [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))
0.151 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 h0
 h1
 (* -1 h1)
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
0.260 * * * [progress]: adding candidates to table
0.357 * * [progress]: iteration 2 / 4
0.357 * * * [progress]: picking best candidate
0.374 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))))>
0.374 * * * [progress]: localizing error
0.394 * * * [progress]: generating rewritten candidates
0.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.406 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
0.418 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
0.430 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.440 * * * [progress]: generating series expansions
0.440 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.440 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.440 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.441 * [taylor]: Taking taylor expansion of x in y
0.441 * [backup-simplify]: Simplify x into x
0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.441 * [taylor]: Taking taylor expansion of y in y
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.441 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.441 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.441 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.442 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.442 * [taylor]: Taking taylor expansion of x in x
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.442 * [taylor]: Taking taylor expansion of y in x
0.442 * [backup-simplify]: Simplify y into y
0.442 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.442 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.442 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.442 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.443 * [backup-simplify]: Simplify (+ 0 0) into 0
0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.443 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.443 * [taylor]: Taking taylor expansion of x in x
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.443 * [taylor]: Taking taylor expansion of y in x
0.443 * [backup-simplify]: Simplify y into y
0.443 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.443 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.443 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.443 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.444 * [taylor]: Taking taylor expansion of y in y
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [taylor]: Taking taylor expansion of 0 in y
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (* 1 1) into 1
0.445 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.445 * [backup-simplify]: Simplify (+ 1 0) into 1
0.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.446 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.446 * [taylor]: Taking taylor expansion of 1/2 in y
0.446 * [backup-simplify]: Simplify 1/2 into 1/2
0.446 * [taylor]: Taking taylor expansion of y in y
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.448 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.448 * [backup-simplify]: Simplify (+ 0 0) into 0
0.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.449 * [taylor]: Taking taylor expansion of 0 in y
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.450 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.450 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.450 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.450 * [taylor]: Taking taylor expansion of x in y
0.450 * [backup-simplify]: Simplify x into x
0.450 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.450 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.450 * [taylor]: Taking taylor expansion of y in y
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 1 into 1
0.451 * [backup-simplify]: Simplify (* 1 1) into 1
0.451 * [backup-simplify]: Simplify (/ 1 1) into 1
0.451 * [backup-simplify]: Simplify (+ 0 1) into 1
0.452 * [backup-simplify]: Simplify (sqrt 1) into 1
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.454 * [taylor]: Taking taylor expansion of x in x
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (* 1 1) into 1
0.454 * [backup-simplify]: Simplify (/ 1 1) into 1
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.455 * [taylor]: Taking taylor expansion of y in x
0.455 * [backup-simplify]: Simplify y into y
0.455 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.455 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.455 * [backup-simplify]: Simplify (+ 1 0) into 1
0.455 * [backup-simplify]: Simplify (sqrt 1) into 1
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (* 1 1) into 1
0.458 * [backup-simplify]: Simplify (/ 1 1) into 1
0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.458 * [taylor]: Taking taylor expansion of y in x
0.458 * [backup-simplify]: Simplify y into y
0.458 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.458 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.459 * [backup-simplify]: Simplify (+ 1 0) into 1
0.459 * [backup-simplify]: Simplify (sqrt 1) into 1
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.461 * [taylor]: Taking taylor expansion of 1 in y
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [taylor]: Taking taylor expansion of 0 in y
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.470 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.470 * [taylor]: Taking taylor expansion of 1/2 in y
0.470 * [backup-simplify]: Simplify 1/2 into 1/2
0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.470 * [taylor]: Taking taylor expansion of y in y
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.475 * [taylor]: Taking taylor expansion of 0 in y
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.477 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.477 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.477 * [taylor]: Taking taylor expansion of x in y
0.477 * [backup-simplify]: Simplify x into x
0.477 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.477 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.477 * [taylor]: Taking taylor expansion of y in y
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.478 * [backup-simplify]: Simplify (/ 1 1) into 1
0.478 * [backup-simplify]: Simplify (+ 0 1) into 1
0.478 * [backup-simplify]: Simplify (sqrt 1) into 1
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.481 * [taylor]: Taking taylor expansion of x in x
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.482 * [taylor]: Taking taylor expansion of y in x
0.482 * [backup-simplify]: Simplify y into y
0.482 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.482 * [backup-simplify]: Simplify (+ 1 0) into 1
0.482 * [backup-simplify]: Simplify (sqrt 1) into 1
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.485 * [taylor]: Taking taylor expansion of x in x
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.485 * [taylor]: Taking taylor expansion of y in x
0.485 * [backup-simplify]: Simplify y into y
0.485 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.486 * [backup-simplify]: Simplify (+ 1 0) into 1
0.486 * [backup-simplify]: Simplify (sqrt 1) into 1
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.488 * [taylor]: Taking taylor expansion of 1 in y
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [taylor]: Taking taylor expansion of 0 in y
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.490 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.490 * [taylor]: Taking taylor expansion of 1/2 in y
0.490 * [backup-simplify]: Simplify 1/2 into 1/2
0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.490 * [taylor]: Taking taylor expansion of y in y
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (* 1 1) into 1
0.490 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.494 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.495 * [taylor]: Taking taylor expansion of 0 in y
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
0.497 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.497 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.497 * [taylor]: Taking taylor expansion of x in y
0.497 * [backup-simplify]: Simplify x into x
0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.497 * [taylor]: Taking taylor expansion of y in y
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.497 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.497 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.497 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.498 * [taylor]: Taking taylor expansion of x in x
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.498 * [taylor]: Taking taylor expansion of y in x
0.498 * [backup-simplify]: Simplify y into y
0.498 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.498 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.498 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.498 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.499 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.499 * [taylor]: Taking taylor expansion of x in x
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.499 * [taylor]: Taking taylor expansion of y in x
0.499 * [backup-simplify]: Simplify y into y
0.499 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.499 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.499 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.499 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.500 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.500 * [taylor]: Taking taylor expansion of y in y
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [taylor]: Taking taylor expansion of 0 in y
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.501 * [backup-simplify]: Simplify (+ 1 0) into 1
0.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.502 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.502 * [taylor]: Taking taylor expansion of 1/2 in y
0.502 * [backup-simplify]: Simplify 1/2 into 1/2
0.502 * [taylor]: Taking taylor expansion of y in y
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.504 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.505 * [taylor]: Taking taylor expansion of 0 in y
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.506 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.506 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.506 * [taylor]: Taking taylor expansion of x in y
0.506 * [backup-simplify]: Simplify x into x
0.506 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.507 * [taylor]: Taking taylor expansion of y in y
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (* 1 1) into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.508 * [backup-simplify]: Simplify (+ 0 1) into 1
0.508 * [backup-simplify]: Simplify (sqrt 1) into 1
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.510 * [taylor]: Taking taylor expansion of x in x
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (* 1 1) into 1
0.511 * [backup-simplify]: Simplify (/ 1 1) into 1
0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.511 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.511 * [taylor]: Taking taylor expansion of y in x
0.511 * [backup-simplify]: Simplify y into y
0.511 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.512 * [backup-simplify]: Simplify (+ 1 0) into 1
0.512 * [backup-simplify]: Simplify (sqrt 1) into 1
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.515 * [taylor]: Taking taylor expansion of x in x
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.515 * [taylor]: Taking taylor expansion of y in x
0.515 * [backup-simplify]: Simplify y into y
0.515 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.516 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.516 * [backup-simplify]: Simplify (+ 1 0) into 1
0.516 * [backup-simplify]: Simplify (sqrt 1) into 1
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.518 * [taylor]: Taking taylor expansion of 1 in y
0.518 * [backup-simplify]: Simplify 1 into 1
0.519 * [taylor]: Taking taylor expansion of 0 in y
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.521 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.521 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.521 * [taylor]: Taking taylor expansion of 1/2 in y
0.521 * [backup-simplify]: Simplify 1/2 into 1/2
0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.522 * [taylor]: Taking taylor expansion of y in y
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.526 * [taylor]: Taking taylor expansion of 0 in y
0.526 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.528 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.529 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.529 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.529 * [taylor]: Taking taylor expansion of x in y
0.529 * [backup-simplify]: Simplify x into x
0.529 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.529 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.529 * [taylor]: Taking taylor expansion of y in y
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [backup-simplify]: Simplify (+ 0 1) into 1
0.530 * [backup-simplify]: Simplify (sqrt 1) into 1
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.533 * [taylor]: Taking taylor expansion of y in x
0.533 * [backup-simplify]: Simplify y into y
0.533 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.534 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.534 * [backup-simplify]: Simplify (+ 1 0) into 1
0.534 * [backup-simplify]: Simplify (sqrt 1) into 1
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.536 * [taylor]: Taking taylor expansion of x in x
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (* 1 1) into 1
0.537 * [backup-simplify]: Simplify (/ 1 1) into 1
0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.537 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.537 * [taylor]: Taking taylor expansion of y in x
0.537 * [backup-simplify]: Simplify y into y
0.537 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.538 * [backup-simplify]: Simplify (+ 1 0) into 1
0.538 * [backup-simplify]: Simplify (sqrt 1) into 1
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.540 * [taylor]: Taking taylor expansion of 1 in y
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [taylor]: Taking taylor expansion of 0 in y
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.543 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.543 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.543 * [taylor]: Taking taylor expansion of 1/2 in y
0.543 * [backup-simplify]: Simplify 1/2 into 1/2
0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.543 * [taylor]: Taking taylor expansion of y in y
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (* 1 1) into 1
0.544 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.547 * [backup-simplify]: Simplify (+ 0 0) into 0
0.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.548 * [taylor]: Taking taylor expansion of 0 in y
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.550 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
0.550 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.550 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.550 * [taylor]: Taking taylor expansion of x in y
0.550 * [backup-simplify]: Simplify x into x
0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.550 * [taylor]: Taking taylor expansion of y in y
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.550 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.551 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.551 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.551 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.551 * [taylor]: Taking taylor expansion of x in x
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.551 * [taylor]: Taking taylor expansion of y in x
0.551 * [backup-simplify]: Simplify y into y
0.551 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.551 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.552 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.552 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.552 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.552 * [taylor]: Taking taylor expansion of x in x
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.552 * [taylor]: Taking taylor expansion of y in x
0.552 * [backup-simplify]: Simplify y into y
0.552 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.553 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.553 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.553 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.553 * [taylor]: Taking taylor expansion of y in y
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [taylor]: Taking taylor expansion of 0 in y
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.555 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.555 * [taylor]: Taking taylor expansion of 1/2 in y
0.555 * [backup-simplify]: Simplify 1/2 into 1/2
0.555 * [taylor]: Taking taylor expansion of y in y
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.558 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.558 * [taylor]: Taking taylor expansion of 0 in y
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.560 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.560 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.560 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.560 * [taylor]: Taking taylor expansion of x in y
0.560 * [backup-simplify]: Simplify x into x
0.560 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.560 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.560 * [taylor]: Taking taylor expansion of y in y
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (/ 1 1) into 1
0.561 * [backup-simplify]: Simplify (+ 0 1) into 1
0.561 * [backup-simplify]: Simplify (sqrt 1) into 1
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ 0 0) into 0
0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.564 * [taylor]: Taking taylor expansion of x in x
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.564 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ 1 1) into 1
0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.564 * [taylor]: Taking taylor expansion of y in x
0.564 * [backup-simplify]: Simplify y into y
0.564 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.565 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.565 * [backup-simplify]: Simplify (+ 1 0) into 1
0.565 * [backup-simplify]: Simplify (sqrt 1) into 1
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.568 * [taylor]: Taking taylor expansion of x in x
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (/ 1 1) into 1
0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.568 * [taylor]: Taking taylor expansion of y in x
0.568 * [backup-simplify]: Simplify y into y
0.569 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.569 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.569 * [backup-simplify]: Simplify (+ 1 0) into 1
0.569 * [backup-simplify]: Simplify (sqrt 1) into 1
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.571 * [taylor]: Taking taylor expansion of 1 in y
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [taylor]: Taking taylor expansion of 0 in y
0.571 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.574 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.574 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.574 * [taylor]: Taking taylor expansion of 1/2 in y
0.574 * [backup-simplify]: Simplify 1/2 into 1/2
0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.574 * [taylor]: Taking taylor expansion of y in y
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify (* 1 1) into 1
0.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.579 * [backup-simplify]: Simplify (+ 0 0) into 0
0.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.579 * [taylor]: Taking taylor expansion of 0 in y
0.579 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.581 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.582 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.582 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.582 * [taylor]: Taking taylor expansion of x in y
0.582 * [backup-simplify]: Simplify x into x
0.582 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.582 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.582 * [taylor]: Taking taylor expansion of y in y
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (* 1 1) into 1
0.583 * [backup-simplify]: Simplify (/ 1 1) into 1
0.583 * [backup-simplify]: Simplify (+ 0 1) into 1
0.583 * [backup-simplify]: Simplify (sqrt 1) into 1
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ 0 0) into 0
0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.585 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.585 * [taylor]: Taking taylor expansion of x in x
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify (* 1 1) into 1
0.586 * [backup-simplify]: Simplify (/ 1 1) into 1
0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.586 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.586 * [taylor]: Taking taylor expansion of y in x
0.586 * [backup-simplify]: Simplify y into y
0.586 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.586 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.587 * [backup-simplify]: Simplify (+ 1 0) into 1
0.587 * [backup-simplify]: Simplify (sqrt 1) into 1
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.589 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.589 * [taylor]: Taking taylor expansion of x in x
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (* 1 1) into 1
0.590 * [backup-simplify]: Simplify (/ 1 1) into 1
0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.590 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.590 * [taylor]: Taking taylor expansion of y in x
0.590 * [backup-simplify]: Simplify y into y
0.590 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.590 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.590 * [backup-simplify]: Simplify (+ 1 0) into 1
0.591 * [backup-simplify]: Simplify (sqrt 1) into 1
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.597 * [taylor]: Taking taylor expansion of 1 in y
0.597 * [backup-simplify]: Simplify 1 into 1
0.597 * [taylor]: Taking taylor expansion of 0 in y
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify 1 into 1
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.600 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.600 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.600 * [taylor]: Taking taylor expansion of 1/2 in y
0.600 * [backup-simplify]: Simplify 1/2 into 1/2
0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.600 * [taylor]: Taking taylor expansion of y in y
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify 1 into 1
0.600 * [backup-simplify]: Simplify (* 1 1) into 1
0.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.603 * [backup-simplify]: Simplify (+ 0 0) into 0
0.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.603 * [taylor]: Taking taylor expansion of 0 in y
0.603 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.605 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.605 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* x x) (* y y)))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
0.605 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in (x y) around 0
0.605 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y
0.605 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y
0.605 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y
0.605 * [taylor]: Taking taylor expansion of 1/6 in y
0.605 * [backup-simplify]: Simplify 1/6 into 1/6
0.605 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
0.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.605 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.605 * [taylor]: Taking taylor expansion of x in y
0.605 * [backup-simplify]: Simplify x into x
0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.605 * [taylor]: Taking taylor expansion of y in y
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.605 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.605 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
0.606 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2)))
0.606 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6)
0.606 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x
0.606 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x
0.606 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x
0.606 * [taylor]: Taking taylor expansion of 1/6 in x
0.606 * [backup-simplify]: Simplify 1/6 into 1/6
0.606 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
0.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.606 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.606 * [taylor]: Taking taylor expansion of x in x
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.606 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.606 * [taylor]: Taking taylor expansion of y in x
0.606 * [backup-simplify]: Simplify y into y
0.606 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.606 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.606 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
0.606 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2)))
0.606 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6)
0.606 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x
0.606 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x
0.606 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x
0.606 * [taylor]: Taking taylor expansion of 1/6 in x
0.606 * [backup-simplify]: Simplify 1/6 into 1/6
0.606 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
0.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.606 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.606 * [taylor]: Taking taylor expansion of x in x
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.606 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.606 * [taylor]: Taking taylor expansion of y in x
0.606 * [backup-simplify]: Simplify y into y
0.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.607 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.607 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
0.607 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2)))
0.607 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6)
0.607 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y
0.607 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y
0.607 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y
0.607 * [taylor]: Taking taylor expansion of 1/6 in y
0.607 * [backup-simplify]: Simplify 1/6 into 1/6
0.607 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y
0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.607 * [taylor]: Taking taylor expansion of y in y
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (* 1 1) into 1
0.608 * [backup-simplify]: Simplify (log 1) into 0
0.608 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
0.608 * [backup-simplify]: Simplify (* 1/6 (* 2 (log y))) into (* 1/3 (log y))
0.608 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3)
0.608 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3)
0.608 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.608 * [backup-simplify]: Simplify (+ 0 0) into 0
0.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow y 2)))) into 0
0.610 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
0.610 * [taylor]: Taking taylor expansion of 0 in y
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.611 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
0.612 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log y)))) into 0
0.612 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.612 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify (* 1 1) into 1
0.613 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.613 * [backup-simplify]: Simplify (+ 1 0) into 1
0.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2))
0.614 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/6 (/ 1 (pow y 2)))
0.615 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
0.615 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y
0.615 * [taylor]: Taking taylor expansion of 1/6 in y
0.615 * [backup-simplify]: Simplify 1/6 into 1/6
0.615 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y
0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y
0.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y
0.615 * [taylor]: Taking taylor expansion of 1/3 in y
0.615 * [backup-simplify]: Simplify 1/3 into 1/3
0.615 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y
0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y
0.615 * [taylor]: Taking taylor expansion of (pow y 5) in y
0.615 * [taylor]: Taking taylor expansion of y in y
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 1 into 1
0.616 * [backup-simplify]: Simplify (* 1 1) into 1
0.616 * [backup-simplify]: Simplify (* 1 1) into 1
0.616 * [backup-simplify]: Simplify (* 1 1) into 1
0.616 * [backup-simplify]: Simplify (/ 1 1) into 1
0.617 * [backup-simplify]: Simplify (log 1) into 0
0.617 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y)))
0.617 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log y)))) into (* -5/3 (log y))
0.617 * [backup-simplify]: Simplify (exp (* -5/3 (log y))) into (pow y -5/3)
0.617 * [backup-simplify]: Simplify (* 1/6 (pow y -5/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
0.617 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
0.617 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.620 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
0.620 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0
0.621 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.622 * [backup-simplify]: Simplify (+ 0 0) into 0
0.624 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0
0.625 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0
0.626 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.626 * [taylor]: Taking taylor expansion of 0 in y
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.629 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y)))
0.629 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log y))))) into 0
0.630 * [backup-simplify]: Simplify (* (exp (* -5/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.630 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow y -5/3))) into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.635 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
0.635 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
0.636 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0
0.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.638 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) (pow (* 1 x) 2)) (pow y 1/3)) into (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3))
0.639 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)
0.639 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0
0.639 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y
0.639 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
0.639 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
0.639 * [taylor]: Taking taylor expansion of 1/6 in y
0.639 * [backup-simplify]: Simplify 1/6 into 1/6
0.639 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.639 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.639 * [taylor]: Taking taylor expansion of x in y
0.639 * [backup-simplify]: Simplify x into x
0.639 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.639 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.639 * [taylor]: Taking taylor expansion of y in y
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.640 * [backup-simplify]: Simplify (* 1 1) into 1
0.640 * [backup-simplify]: Simplify (/ 1 1) into 1
0.640 * [backup-simplify]: Simplify (+ 0 1) into 1
0.641 * [backup-simplify]: Simplify (log 1) into 0
0.641 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
0.641 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
0.641 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
0.641 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x
0.641 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
0.641 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.641 * [taylor]: Taking taylor expansion of 1/6 in x
0.641 * [backup-simplify]: Simplify 1/6 into 1/6
0.641 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.641 * [taylor]: Taking taylor expansion of x in x
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify (* 1 1) into 1
0.642 * [backup-simplify]: Simplify (/ 1 1) into 1
0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.642 * [taylor]: Taking taylor expansion of y in x
0.642 * [backup-simplify]: Simplify y into y
0.642 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.642 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.643 * [backup-simplify]: Simplify (+ 1 0) into 1
0.643 * [backup-simplify]: Simplify (log 1) into 0
0.643 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.643 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
0.643 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
0.643 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x
0.644 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
0.644 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.644 * [taylor]: Taking taylor expansion of 1/6 in x
0.644 * [backup-simplify]: Simplify 1/6 into 1/6
0.644 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.644 * [taylor]: Taking taylor expansion of x in x
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 1 into 1
0.644 * [backup-simplify]: Simplify (* 1 1) into 1
0.644 * [backup-simplify]: Simplify (/ 1 1) into 1
0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.644 * [taylor]: Taking taylor expansion of y in x
0.644 * [backup-simplify]: Simplify y into y
0.644 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.645 * [backup-simplify]: Simplify (+ 1 0) into 1
0.645 * [backup-simplify]: Simplify (log 1) into 0
0.645 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.645 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
0.645 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
0.645 * [taylor]: Taking taylor expansion of (pow x -1/3) in y
0.645 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y
0.645 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y
0.645 * [taylor]: Taking taylor expansion of -1/3 in y
0.645 * [backup-simplify]: Simplify -1/3 into -1/3
0.645 * [taylor]: Taking taylor expansion of (log x) in y
0.645 * [taylor]: Taking taylor expansion of x in y
0.645 * [backup-simplify]: Simplify x into x
0.646 * [backup-simplify]: Simplify (log x) into (log x)
0.646 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
0.646 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
0.646 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3)
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.647 * [backup-simplify]: Simplify (+ 0 0) into 0
0.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.648 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.648 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0
0.649 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.649 * [taylor]: Taking taylor expansion of 0 in y
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
0.649 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
0.650 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.650 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.651 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
0.653 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.653 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2)))
0.654 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))))
0.654 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y
0.654 * [taylor]: Taking taylor expansion of 1/6 in y
0.654 * [backup-simplify]: Simplify 1/6 into 1/6
0.654 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y
0.654 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y
0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y
0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y
0.654 * [taylor]: Taking taylor expansion of 1/3 in y
0.654 * [backup-simplify]: Simplify 1/3 into 1/3
0.654 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y
0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.654 * [taylor]: Taking taylor expansion of x in y
0.654 * [backup-simplify]: Simplify x into x
0.654 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.654 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
0.654 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
0.654 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.654 * [taylor]: Taking taylor expansion of y in y
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 1 into 1
0.654 * [backup-simplify]: Simplify (* 1 1) into 1
0.655 * [backup-simplify]: Simplify (/ 1 1) into 1
0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
0.657 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
0.658 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
0.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.659 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
0.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
0.660 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.661 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
0.661 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0
0.661 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3)
0.662 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
0.664 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
0.664 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.666 * [backup-simplify]: Simplify (+ 0 0) into 0
0.668 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
0.668 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.669 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
0.670 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.670 * [taylor]: Taking taylor expansion of 0 in y
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify (pow (/ 1 x) -1/3) into (pow (/ 1 x) -1/3)
0.671 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)
0.671 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0
0.671 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y
0.671 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
0.671 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
0.671 * [taylor]: Taking taylor expansion of 1/6 in y
0.671 * [backup-simplify]: Simplify 1/6 into 1/6
0.671 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.671 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.671 * [taylor]: Taking taylor expansion of x in y
0.671 * [backup-simplify]: Simplify x into x
0.671 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.671 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.671 * [taylor]: Taking taylor expansion of y in y
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (* 1 1) into 1
0.672 * [backup-simplify]: Simplify (/ 1 1) into 1
0.672 * [backup-simplify]: Simplify (+ 0 1) into 1
0.672 * [backup-simplify]: Simplify (log 1) into 0
0.672 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
0.673 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
0.673 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
0.673 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x
0.673 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
0.673 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.673 * [taylor]: Taking taylor expansion of 1/6 in x
0.673 * [backup-simplify]: Simplify 1/6 into 1/6
0.673 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.673 * [taylor]: Taking taylor expansion of x in x
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify (* 1 1) into 1
0.673 * [backup-simplify]: Simplify (/ 1 1) into 1
0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.673 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.673 * [taylor]: Taking taylor expansion of y in x
0.673 * [backup-simplify]: Simplify y into y
0.673 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.674 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.674 * [backup-simplify]: Simplify (+ 1 0) into 1
0.674 * [backup-simplify]: Simplify (log 1) into 0
0.674 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.674 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
0.674 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
0.674 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x
0.674 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
0.675 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.675 * [taylor]: Taking taylor expansion of 1/6 in x
0.675 * [backup-simplify]: Simplify 1/6 into 1/6
0.675 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.675 * [taylor]: Taking taylor expansion of x in x
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 1 into 1
0.675 * [backup-simplify]: Simplify (* 1 1) into 1
0.675 * [backup-simplify]: Simplify (/ 1 1) into 1
0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.675 * [taylor]: Taking taylor expansion of y in x
0.675 * [backup-simplify]: Simplify y into y
0.675 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.676 * [backup-simplify]: Simplify (+ 1 0) into 1
0.676 * [backup-simplify]: Simplify (log 1) into 0
0.676 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.676 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
0.676 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
0.676 * [taylor]: Taking taylor expansion of (pow x -1/3) in y
0.676 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y
0.676 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y
0.676 * [taylor]: Taking taylor expansion of -1/3 in y
0.676 * [backup-simplify]: Simplify -1/3 into -1/3
0.676 * [taylor]: Taking taylor expansion of (log x) in y
0.676 * [taylor]: Taking taylor expansion of x in y
0.676 * [backup-simplify]: Simplify x into x
0.676 * [backup-simplify]: Simplify (log x) into (log x)
0.677 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x))
0.677 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
0.677 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3)
0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.678 * [backup-simplify]: Simplify (+ 0 0) into 0
0.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.679 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.679 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0
0.680 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.680 * [taylor]: Taking taylor expansion of 0 in y
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
0.681 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0
0.681 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.681 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.682 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
0.684 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.684 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2)))
0.685 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))))
0.685 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y
0.685 * [taylor]: Taking taylor expansion of 1/6 in y
0.685 * [backup-simplify]: Simplify 1/6 into 1/6
0.685 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y
0.685 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y
0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y
0.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y
0.685 * [taylor]: Taking taylor expansion of 1/3 in y
0.685 * [backup-simplify]: Simplify 1/3 into 1/3
0.685 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y
0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.685 * [taylor]: Taking taylor expansion of x in y
0.685 * [backup-simplify]: Simplify x into x
0.685 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.685 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x))
0.685 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x)))
0.685 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3)
0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.685 * [taylor]: Taking taylor expansion of y in y
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 1 into 1
0.686 * [backup-simplify]: Simplify (* 1 1) into 1
0.686 * [backup-simplify]: Simplify (/ 1 1) into 1
0.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0
0.689 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0
0.689 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
0.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0
0.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0
0.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.695 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
0.696 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0
0.696 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3)
0.697 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
0.699 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
0.700 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.700 * [backup-simplify]: Simplify 0 into 0
0.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.702 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.703 * [backup-simplify]: Simplify (+ 0 0) into 0
0.706 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
0.706 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.707 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
0.709 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.709 * [taylor]: Taking taylor expansion of 0 in y
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/3) into (pow (/ -1 x) -1/3)
0.709 * * * [progress]: simplifying candidates
0.710 * [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 (cbrt (sqrt (+ (* x x) (* y y)))))
  (exp (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (cbrt (sqrt (cbrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt 1))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (cbrt 1)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (cbrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (cbrt (sqrt (- (* x x) (* y y))))
  (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))
  (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3))
  (pow (/ 1 x) -1/3)
  (pow (/ -1 x) -1/3)
0.711 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (exp (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))
 (cbrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt 1))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt 1)
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))
 (cbrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))
 (cbrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))
 (cbrt (sqrt (- (* h1 h1) (* h0 h0))))
 (* (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ (* (/ 1 6) (* (pow h1 2) (pow (/ 1 (pow h0 5)) (/ 1 3)))) (pow h0 (/ 1 3)))
 (pow (/ 1 h1) (/ -1 3))
 (pow (/ -1 h1) (/ -1 3))
0.784 * * * [progress]: adding candidates to table
1.085 * * [progress]: iteration 3 / 4
1.085 * * * [progress]: picking best candidate
1.095 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (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))))))))>
1.095 * * * [progress]: localizing error
1.123 * * * [progress]: generating rewritten candidates
1.123 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
1.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
1.153 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
1.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
1.179 * * * [progress]: generating series expansions
1.179 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
1.179 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.179 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.179 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.179 * [taylor]: Taking taylor expansion of x in y
1.180 * [backup-simplify]: Simplify x into x
1.180 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.180 * [taylor]: Taking taylor expansion of y in y
1.180 * [backup-simplify]: Simplify 0 into 0
1.180 * [backup-simplify]: Simplify 1 into 1
1.180 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.180 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.180 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.180 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.181 * [backup-simplify]: Simplify (+ 0 0) into 0
1.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.181 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.181 * [taylor]: Taking taylor expansion of x in x
1.181 * [backup-simplify]: Simplify 0 into 0
1.181 * [backup-simplify]: Simplify 1 into 1
1.181 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.181 * [taylor]: Taking taylor expansion of y in x
1.181 * [backup-simplify]: Simplify y into y
1.181 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.181 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.181 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.181 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.182 * [backup-simplify]: Simplify (+ 0 0) into 0
1.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.182 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.182 * [taylor]: Taking taylor expansion of x in x
1.182 * [backup-simplify]: Simplify 0 into 0
1.182 * [backup-simplify]: Simplify 1 into 1
1.182 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.182 * [taylor]: Taking taylor expansion of y in x
1.182 * [backup-simplify]: Simplify y into y
1.182 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.182 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.182 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.182 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.183 * [backup-simplify]: Simplify (+ 0 0) into 0
1.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.183 * [taylor]: Taking taylor expansion of y in y
1.183 * [backup-simplify]: Simplify 0 into 0
1.183 * [backup-simplify]: Simplify 1 into 1
1.183 * [backup-simplify]: Simplify 0 into 0
1.183 * [taylor]: Taking taylor expansion of 0 in y
1.183 * [backup-simplify]: Simplify 0 into 0
1.183 * [backup-simplify]: Simplify 0 into 0
1.183 * [backup-simplify]: Simplify 1 into 1
1.183 * [backup-simplify]: Simplify (* 1 1) into 1
1.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.184 * [backup-simplify]: Simplify (+ 1 0) into 1
1.185 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.185 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.185 * [taylor]: Taking taylor expansion of 1/2 in y
1.185 * [backup-simplify]: Simplify 1/2 into 1/2
1.185 * [taylor]: Taking taylor expansion of y in y
1.185 * [backup-simplify]: Simplify 0 into 0
1.185 * [backup-simplify]: Simplify 1 into 1
1.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.186 * [backup-simplify]: Simplify 0 into 0
1.186 * [backup-simplify]: Simplify 0 into 0
1.186 * [backup-simplify]: Simplify 0 into 0
1.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.187 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.188 * [backup-simplify]: Simplify (+ 0 0) into 0
1.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.188 * [taylor]: Taking taylor expansion of 0 in y
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.189 * [backup-simplify]: Simplify 0 into 0
1.189 * [backup-simplify]: Simplify 0 into 0
1.189 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.189 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.189 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.189 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.189 * [taylor]: Taking taylor expansion of x in y
1.189 * [backup-simplify]: Simplify x into x
1.189 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.189 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.189 * [taylor]: Taking taylor expansion of y in y
1.189 * [backup-simplify]: Simplify 0 into 0
1.189 * [backup-simplify]: Simplify 1 into 1
1.190 * [backup-simplify]: Simplify (* 1 1) into 1
1.190 * [backup-simplify]: Simplify (/ 1 1) into 1
1.190 * [backup-simplify]: Simplify (+ 0 1) into 1
1.191 * [backup-simplify]: Simplify (sqrt 1) into 1
1.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.192 * [backup-simplify]: Simplify (+ 0 0) into 0
1.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.193 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.193 * [taylor]: Taking taylor expansion of x in x
1.193 * [backup-simplify]: Simplify 0 into 0
1.193 * [backup-simplify]: Simplify 1 into 1
1.193 * [backup-simplify]: Simplify (* 1 1) into 1
1.193 * [backup-simplify]: Simplify (/ 1 1) into 1
1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.193 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.193 * [taylor]: Taking taylor expansion of y in x
1.193 * [backup-simplify]: Simplify y into y
1.194 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.194 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.194 * [backup-simplify]: Simplify (+ 1 0) into 1
1.194 * [backup-simplify]: Simplify (sqrt 1) into 1
1.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.196 * [backup-simplify]: Simplify (+ 0 0) into 0
1.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.196 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.196 * [taylor]: Taking taylor expansion of x in x
1.196 * [backup-simplify]: Simplify 0 into 0
1.196 * [backup-simplify]: Simplify 1 into 1
1.197 * [backup-simplify]: Simplify (* 1 1) into 1
1.197 * [backup-simplify]: Simplify (/ 1 1) into 1
1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.197 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.197 * [taylor]: Taking taylor expansion of y in x
1.197 * [backup-simplify]: Simplify y into y
1.197 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.197 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.198 * [backup-simplify]: Simplify (+ 1 0) into 1
1.198 * [backup-simplify]: Simplify (sqrt 1) into 1
1.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.199 * [backup-simplify]: Simplify (+ 0 0) into 0
1.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.200 * [taylor]: Taking taylor expansion of 1 in y
1.200 * [backup-simplify]: Simplify 1 into 1
1.200 * [taylor]: Taking taylor expansion of 0 in y
1.200 * [backup-simplify]: Simplify 0 into 0
1.200 * [backup-simplify]: Simplify 1 into 1
1.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.201 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.202 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.202 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.202 * [taylor]: Taking taylor expansion of 1/2 in y
1.202 * [backup-simplify]: Simplify 1/2 into 1/2
1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.202 * [taylor]: Taking taylor expansion of y in y
1.202 * [backup-simplify]: Simplify 0 into 0
1.202 * [backup-simplify]: Simplify 1 into 1
1.202 * [backup-simplify]: Simplify (* 1 1) into 1
1.202 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 0 into 0
1.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.205 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.205 * [backup-simplify]: Simplify (+ 0 0) into 0
1.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.205 * [taylor]: Taking taylor expansion of 0 in y
1.205 * [backup-simplify]: Simplify 0 into 0
1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify 0 into 0
1.206 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.207 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.207 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.207 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.207 * [taylor]: Taking taylor expansion of x in y
1.207 * [backup-simplify]: Simplify x into x
1.207 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.207 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.207 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.207 * [taylor]: Taking taylor expansion of y in y
1.207 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify 1 into 1
1.208 * [backup-simplify]: Simplify (* 1 1) into 1
1.208 * [backup-simplify]: Simplify (/ 1 1) into 1
1.208 * [backup-simplify]: Simplify (+ 0 1) into 1
1.209 * [backup-simplify]: Simplify (sqrt 1) into 1
1.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.210 * [backup-simplify]: Simplify (+ 0 0) into 0
1.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.211 * [taylor]: Taking taylor expansion of x in x
1.211 * [backup-simplify]: Simplify 0 into 0
1.211 * [backup-simplify]: Simplify 1 into 1
1.211 * [backup-simplify]: Simplify (* 1 1) into 1
1.211 * [backup-simplify]: Simplify (/ 1 1) into 1
1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.211 * [taylor]: Taking taylor expansion of y in x
1.211 * [backup-simplify]: Simplify y into y
1.211 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.212 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.212 * [backup-simplify]: Simplify (+ 1 0) into 1
1.212 * [backup-simplify]: Simplify (sqrt 1) into 1
1.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.214 * [backup-simplify]: Simplify (+ 0 0) into 0
1.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.214 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.214 * [taylor]: Taking taylor expansion of x in x
1.214 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify 1 into 1
1.215 * [backup-simplify]: Simplify (* 1 1) into 1
1.215 * [backup-simplify]: Simplify (/ 1 1) into 1
1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.215 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.215 * [taylor]: Taking taylor expansion of y in x
1.215 * [backup-simplify]: Simplify y into y
1.215 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.216 * [backup-simplify]: Simplify (+ 1 0) into 1
1.216 * [backup-simplify]: Simplify (sqrt 1) into 1
1.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.217 * [backup-simplify]: Simplify (+ 0 0) into 0
1.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.218 * [taylor]: Taking taylor expansion of 1 in y
1.218 * [backup-simplify]: Simplify 1 into 1
1.218 * [taylor]: Taking taylor expansion of 0 in y
1.218 * [backup-simplify]: Simplify 0 into 0
1.218 * [backup-simplify]: Simplify 1 into 1
1.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.221 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.221 * [taylor]: Taking taylor expansion of 1/2 in y
1.221 * [backup-simplify]: Simplify 1/2 into 1/2
1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.221 * [taylor]: Taking taylor expansion of y in y
1.221 * [backup-simplify]: Simplify 0 into 0
1.221 * [backup-simplify]: Simplify 1 into 1
1.221 * [backup-simplify]: Simplify (* 1 1) into 1
1.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.224 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.225 * [backup-simplify]: Simplify (+ 0 0) into 0
1.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.225 * [taylor]: Taking taylor expansion of 0 in y
1.225 * [backup-simplify]: Simplify 0 into 0
1.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.227 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
1.227 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.227 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.227 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.227 * [taylor]: Taking taylor expansion of x in y
1.227 * [backup-simplify]: Simplify x into x
1.227 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.227 * [taylor]: Taking taylor expansion of y in y
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify 1 into 1
1.228 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.228 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.228 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.228 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.228 * [backup-simplify]: Simplify (+ 0 0) into 0
1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.228 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.228 * [taylor]: Taking taylor expansion of x in x
1.228 * [backup-simplify]: Simplify 0 into 0
1.228 * [backup-simplify]: Simplify 1 into 1
1.228 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.228 * [taylor]: Taking taylor expansion of y in x
1.228 * [backup-simplify]: Simplify y into y
1.229 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.229 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.229 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.229 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.229 * [backup-simplify]: Simplify (+ 0 0) into 0
1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.229 * [taylor]: Taking taylor expansion of x in x
1.229 * [backup-simplify]: Simplify 0 into 0
1.229 * [backup-simplify]: Simplify 1 into 1
1.229 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.229 * [taylor]: Taking taylor expansion of y in x
1.229 * [backup-simplify]: Simplify y into y
1.230 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.230 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.230 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.230 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.230 * [backup-simplify]: Simplify (+ 0 0) into 0
1.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.230 * [taylor]: Taking taylor expansion of y in y
1.230 * [backup-simplify]: Simplify 0 into 0
1.230 * [backup-simplify]: Simplify 1 into 1
1.230 * [backup-simplify]: Simplify 0 into 0
1.230 * [taylor]: Taking taylor expansion of 0 in y
1.230 * [backup-simplify]: Simplify 0 into 0
1.230 * [backup-simplify]: Simplify 0 into 0
1.230 * [backup-simplify]: Simplify 1 into 1
1.231 * [backup-simplify]: Simplify (* 1 1) into 1
1.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.232 * [backup-simplify]: Simplify (+ 1 0) into 1
1.232 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.232 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.232 * [taylor]: Taking taylor expansion of 1/2 in y
1.232 * [backup-simplify]: Simplify 1/2 into 1/2
1.232 * [taylor]: Taking taylor expansion of y in y
1.232 * [backup-simplify]: Simplify 0 into 0
1.232 * [backup-simplify]: Simplify 1 into 1
1.233 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.233 * [backup-simplify]: Simplify 0 into 0
1.233 * [backup-simplify]: Simplify 0 into 0
1.233 * [backup-simplify]: Simplify 0 into 0
1.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.235 * [backup-simplify]: Simplify (+ 0 0) into 0
1.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.235 * [taylor]: Taking taylor expansion of 0 in y
1.235 * [backup-simplify]: Simplify 0 into 0
1.235 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.236 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.236 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.236 * [taylor]: Taking taylor expansion of x in y
1.236 * [backup-simplify]: Simplify x into x
1.236 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.236 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.236 * [taylor]: Taking taylor expansion of y in y
1.237 * [backup-simplify]: Simplify 0 into 0
1.237 * [backup-simplify]: Simplify 1 into 1
1.237 * [backup-simplify]: Simplify (* 1 1) into 1
1.237 * [backup-simplify]: Simplify (/ 1 1) into 1
1.237 * [backup-simplify]: Simplify (+ 0 1) into 1
1.238 * [backup-simplify]: Simplify (sqrt 1) into 1
1.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.239 * [backup-simplify]: Simplify (+ 0 0) into 0
1.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.240 * [taylor]: Taking taylor expansion of x in x
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 1 into 1
1.240 * [backup-simplify]: Simplify (* 1 1) into 1
1.240 * [backup-simplify]: Simplify (/ 1 1) into 1
1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.241 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.241 * [taylor]: Taking taylor expansion of y in x
1.241 * [backup-simplify]: Simplify y into y
1.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.241 * [backup-simplify]: Simplify (+ 1 0) into 1
1.241 * [backup-simplify]: Simplify (sqrt 1) into 1
1.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.246 * [backup-simplify]: Simplify (+ 0 0) into 0
1.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.247 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.247 * [taylor]: Taking taylor expansion of x in x
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [backup-simplify]: Simplify (* 1 1) into 1
1.248 * [backup-simplify]: Simplify (/ 1 1) into 1
1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.248 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.248 * [taylor]: Taking taylor expansion of y in x
1.248 * [backup-simplify]: Simplify y into y
1.248 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.248 * [backup-simplify]: Simplify (+ 1 0) into 1
1.249 * [backup-simplify]: Simplify (sqrt 1) into 1
1.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.250 * [backup-simplify]: Simplify (+ 0 0) into 0
1.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.251 * [taylor]: Taking taylor expansion of 1 in y
1.251 * [backup-simplify]: Simplify 1 into 1
1.251 * [taylor]: Taking taylor expansion of 0 in y
1.251 * [backup-simplify]: Simplify 0 into 0
1.251 * [backup-simplify]: Simplify 1 into 1
1.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.252 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.254 * [taylor]: Taking taylor expansion of 1/2 in y
1.254 * [backup-simplify]: Simplify 1/2 into 1/2
1.254 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.254 * [taylor]: Taking taylor expansion of y in y
1.254 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify 1 into 1
1.254 * [backup-simplify]: Simplify (* 1 1) into 1
1.254 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.256 * [backup-simplify]: Simplify 0 into 0
1.256 * [backup-simplify]: Simplify 0 into 0
1.256 * [backup-simplify]: Simplify 0 into 0
1.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.257 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.258 * [backup-simplify]: Simplify (+ 0 0) into 0
1.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.258 * [taylor]: Taking taylor expansion of 0 in y
1.258 * [backup-simplify]: Simplify 0 into 0
1.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.260 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.260 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.260 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.260 * [taylor]: Taking taylor expansion of x in y
1.260 * [backup-simplify]: Simplify x into x
1.260 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.261 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.261 * [taylor]: Taking taylor expansion of y in y
1.261 * [backup-simplify]: Simplify 0 into 0
1.261 * [backup-simplify]: Simplify 1 into 1
1.261 * [backup-simplify]: Simplify (* 1 1) into 1
1.261 * [backup-simplify]: Simplify (/ 1 1) into 1
1.262 * [backup-simplify]: Simplify (+ 0 1) into 1
1.262 * [backup-simplify]: Simplify (sqrt 1) into 1
1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.263 * [backup-simplify]: Simplify (+ 0 0) into 0
1.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.264 * [taylor]: Taking taylor expansion of x in x
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify 1 into 1
1.264 * [backup-simplify]: Simplify (* 1 1) into 1
1.265 * [backup-simplify]: Simplify (/ 1 1) into 1
1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.265 * [taylor]: Taking taylor expansion of y in x
1.265 * [backup-simplify]: Simplify y into y
1.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.265 * [backup-simplify]: Simplify (+ 1 0) into 1
1.265 * [backup-simplify]: Simplify (sqrt 1) into 1
1.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.267 * [backup-simplify]: Simplify (+ 0 0) into 0
1.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.267 * [taylor]: Taking taylor expansion of x in x
1.267 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify 1 into 1
1.268 * [backup-simplify]: Simplify (* 1 1) into 1
1.268 * [backup-simplify]: Simplify (/ 1 1) into 1
1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.268 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.268 * [taylor]: Taking taylor expansion of y in x
1.268 * [backup-simplify]: Simplify y into y
1.268 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.268 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.269 * [backup-simplify]: Simplify (+ 1 0) into 1
1.269 * [backup-simplify]: Simplify (sqrt 1) into 1
1.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.270 * [backup-simplify]: Simplify (+ 0 0) into 0
1.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.271 * [taylor]: Taking taylor expansion of 1 in y
1.271 * [backup-simplify]: Simplify 1 into 1
1.271 * [taylor]: Taking taylor expansion of 0 in y
1.271 * [backup-simplify]: Simplify 0 into 0
1.271 * [backup-simplify]: Simplify 1 into 1
1.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.273 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.274 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.274 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.274 * [taylor]: Taking taylor expansion of 1/2 in y
1.274 * [backup-simplify]: Simplify 1/2 into 1/2
1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.274 * [taylor]: Taking taylor expansion of y in y
1.274 * [backup-simplify]: Simplify 0 into 0
1.274 * [backup-simplify]: Simplify 1 into 1
1.274 * [backup-simplify]: Simplify (* 1 1) into 1
1.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.275 * [backup-simplify]: Simplify 0 into 0
1.276 * [backup-simplify]: Simplify 0 into 0
1.276 * [backup-simplify]: Simplify 0 into 0
1.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.277 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.278 * [backup-simplify]: Simplify (+ 0 0) into 0
1.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.278 * [taylor]: Taking taylor expansion of 0 in y
1.278 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.280 * [backup-simplify]: Simplify 0 into 0
1.280 * [backup-simplify]: Simplify 0 into 0
1.280 * [backup-simplify]: Simplify 0 into 0
1.280 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
1.280 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.280 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.280 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.280 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.280 * [taylor]: Taking taylor expansion of x in y
1.280 * [backup-simplify]: Simplify x into x
1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.280 * [taylor]: Taking taylor expansion of y in y
1.280 * [backup-simplify]: Simplify 0 into 0
1.280 * [backup-simplify]: Simplify 1 into 1
1.280 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.280 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.280 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.281 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.281 * [backup-simplify]: Simplify (+ 0 0) into 0
1.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.281 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.281 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.281 * [taylor]: Taking taylor expansion of x in x
1.281 * [backup-simplify]: Simplify 0 into 0
1.281 * [backup-simplify]: Simplify 1 into 1
1.281 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.281 * [taylor]: Taking taylor expansion of y in x
1.281 * [backup-simplify]: Simplify y into y
1.281 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.281 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.281 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.282 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.282 * [backup-simplify]: Simplify (+ 0 0) into 0
1.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.282 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.282 * [taylor]: Taking taylor expansion of x in x
1.282 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 1 into 1
1.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.282 * [taylor]: Taking taylor expansion of y in x
1.282 * [backup-simplify]: Simplify y into y
1.282 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.282 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.282 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.283 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.283 * [backup-simplify]: Simplify (+ 0 0) into 0
1.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.283 * [taylor]: Taking taylor expansion of y in y
1.283 * [backup-simplify]: Simplify 0 into 0
1.283 * [backup-simplify]: Simplify 1 into 1
1.283 * [backup-simplify]: Simplify 0 into 0
1.283 * [taylor]: Taking taylor expansion of 0 in y
1.283 * [backup-simplify]: Simplify 0 into 0
1.283 * [backup-simplify]: Simplify 0 into 0
1.283 * [backup-simplify]: Simplify 1 into 1
1.284 * [backup-simplify]: Simplify (* 1 1) into 1
1.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.284 * [backup-simplify]: Simplify (+ 1 0) into 1
1.285 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.285 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.285 * [taylor]: Taking taylor expansion of 1/2 in y
1.285 * [backup-simplify]: Simplify 1/2 into 1/2
1.285 * [taylor]: Taking taylor expansion of y in y
1.285 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify 1 into 1
1.285 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.287 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.287 * [backup-simplify]: Simplify (+ 0 0) into 0
1.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.288 * [taylor]: Taking taylor expansion of 0 in y
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.289 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.289 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.289 * [taylor]: Taking taylor expansion of x in y
1.289 * [backup-simplify]: Simplify x into x
1.289 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.289 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.289 * [taylor]: Taking taylor expansion of y in y
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 1 into 1
1.290 * [backup-simplify]: Simplify (* 1 1) into 1
1.290 * [backup-simplify]: Simplify (/ 1 1) into 1
1.290 * [backup-simplify]: Simplify (+ 0 1) into 1
1.290 * [backup-simplify]: Simplify (sqrt 1) into 1
1.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.292 * [backup-simplify]: Simplify (+ 0 0) into 0
1.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.292 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.292 * [taylor]: Taking taylor expansion of x in x
1.292 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 1 into 1
1.293 * [backup-simplify]: Simplify (* 1 1) into 1
1.293 * [backup-simplify]: Simplify (/ 1 1) into 1
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.293 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.293 * [taylor]: Taking taylor expansion of y in x
1.293 * [backup-simplify]: Simplify y into y
1.293 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.293 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.294 * [backup-simplify]: Simplify (+ 1 0) into 1
1.294 * [backup-simplify]: Simplify (sqrt 1) into 1
1.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.295 * [backup-simplify]: Simplify (+ 0 0) into 0
1.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.296 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.296 * [taylor]: Taking taylor expansion of x in x
1.296 * [backup-simplify]: Simplify 0 into 0
1.296 * [backup-simplify]: Simplify 1 into 1
1.296 * [backup-simplify]: Simplify (* 1 1) into 1
1.297 * [backup-simplify]: Simplify (/ 1 1) into 1
1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.297 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.297 * [taylor]: Taking taylor expansion of y in x
1.297 * [backup-simplify]: Simplify y into y
1.297 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.297 * [backup-simplify]: Simplify (+ 1 0) into 1
1.298 * [backup-simplify]: Simplify (sqrt 1) into 1
1.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.299 * [backup-simplify]: Simplify (+ 0 0) into 0
1.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.299 * [taylor]: Taking taylor expansion of 1 in y
1.300 * [backup-simplify]: Simplify 1 into 1
1.300 * [taylor]: Taking taylor expansion of 0 in y
1.300 * [backup-simplify]: Simplify 0 into 0
1.300 * [backup-simplify]: Simplify 1 into 1
1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.301 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.302 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.302 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.302 * [taylor]: Taking taylor expansion of 1/2 in y
1.302 * [backup-simplify]: Simplify 1/2 into 1/2
1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.302 * [taylor]: Taking taylor expansion of y in y
1.302 * [backup-simplify]: Simplify 0 into 0
1.302 * [backup-simplify]: Simplify 1 into 1
1.303 * [backup-simplify]: Simplify (* 1 1) into 1
1.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.306 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.307 * [backup-simplify]: Simplify (+ 0 0) into 0
1.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.307 * [taylor]: Taking taylor expansion of 0 in y
1.307 * [backup-simplify]: Simplify 0 into 0
1.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.309 * [backup-simplify]: Simplify 0 into 0
1.309 * [backup-simplify]: Simplify 0 into 0
1.309 * [backup-simplify]: Simplify 0 into 0
1.309 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.309 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.309 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.309 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.309 * [taylor]: Taking taylor expansion of x in y
1.309 * [backup-simplify]: Simplify x into x
1.309 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.309 * [taylor]: Taking taylor expansion of y in y
1.309 * [backup-simplify]: Simplify 0 into 0
1.309 * [backup-simplify]: Simplify 1 into 1
1.310 * [backup-simplify]: Simplify (* 1 1) into 1
1.310 * [backup-simplify]: Simplify (/ 1 1) into 1
1.310 * [backup-simplify]: Simplify (+ 0 1) into 1
1.311 * [backup-simplify]: Simplify (sqrt 1) into 1
1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.312 * [backup-simplify]: Simplify (+ 0 0) into 0
1.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.313 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.313 * [taylor]: Taking taylor expansion of x in x
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify 1 into 1
1.313 * [backup-simplify]: Simplify (* 1 1) into 1
1.313 * [backup-simplify]: Simplify (/ 1 1) into 1
1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.314 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.314 * [taylor]: Taking taylor expansion of y in x
1.314 * [backup-simplify]: Simplify y into y
1.314 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.314 * [backup-simplify]: Simplify (+ 1 0) into 1
1.314 * [backup-simplify]: Simplify (sqrt 1) into 1
1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.316 * [taylor]: Taking taylor expansion of x in x
1.316 * [backup-simplify]: Simplify 0 into 0
1.316 * [backup-simplify]: Simplify 1 into 1
1.316 * [backup-simplify]: Simplify (* 1 1) into 1
1.317 * [backup-simplify]: Simplify (/ 1 1) into 1
1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.317 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.317 * [taylor]: Taking taylor expansion of y in x
1.317 * [backup-simplify]: Simplify y into y
1.317 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.317 * [backup-simplify]: Simplify (+ 1 0) into 1
1.317 * [backup-simplify]: Simplify (sqrt 1) into 1
1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.319 * [backup-simplify]: Simplify (+ 0 0) into 0
1.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.319 * [taylor]: Taking taylor expansion of 1 in y
1.319 * [backup-simplify]: Simplify 1 into 1
1.319 * [taylor]: Taking taylor expansion of 0 in y
1.319 * [backup-simplify]: Simplify 0 into 0
1.319 * [backup-simplify]: Simplify 1 into 1
1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.320 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.321 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.321 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.321 * [taylor]: Taking taylor expansion of 1/2 in y
1.321 * [backup-simplify]: Simplify 1/2 into 1/2
1.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.321 * [taylor]: Taking taylor expansion of y in y
1.321 * [backup-simplify]: Simplify 0 into 0
1.321 * [backup-simplify]: Simplify 1 into 1
1.322 * [backup-simplify]: Simplify (* 1 1) into 1
1.322 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.323 * [backup-simplify]: Simplify 0 into 0
1.323 * [backup-simplify]: Simplify 0 into 0
1.323 * [backup-simplify]: Simplify 0 into 0
1.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.324 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.325 * [backup-simplify]: Simplify (+ 0 0) into 0
1.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.325 * [taylor]: Taking taylor expansion of 0 in y
1.325 * [backup-simplify]: Simplify 0 into 0
1.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.327 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
1.327 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.327 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.327 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.327 * [taylor]: Taking taylor expansion of x in y
1.327 * [backup-simplify]: Simplify x into x
1.327 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.327 * [taylor]: Taking taylor expansion of y in y
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify 1 into 1
1.328 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.328 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.328 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.328 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.328 * [backup-simplify]: Simplify (+ 0 0) into 0
1.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.328 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.328 * [taylor]: Taking taylor expansion of x in x
1.328 * [backup-simplify]: Simplify 0 into 0
1.328 * [backup-simplify]: Simplify 1 into 1
1.328 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.328 * [taylor]: Taking taylor expansion of y in x
1.328 * [backup-simplify]: Simplify y into y
1.329 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.329 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.329 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.329 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.329 * [backup-simplify]: Simplify (+ 0 0) into 0
1.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.329 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.329 * [taylor]: Taking taylor expansion of x in x
1.329 * [backup-simplify]: Simplify 0 into 0
1.329 * [backup-simplify]: Simplify 1 into 1
1.329 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.329 * [taylor]: Taking taylor expansion of y in x
1.329 * [backup-simplify]: Simplify y into y
1.330 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.330 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.330 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.330 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.330 * [backup-simplify]: Simplify (+ 0 0) into 0
1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.330 * [taylor]: Taking taylor expansion of y in y
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 1 into 1
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [taylor]: Taking taylor expansion of 0 in y
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 0 into 0
1.331 * [backup-simplify]: Simplify 1 into 1
1.331 * [backup-simplify]: Simplify (* 1 1) into 1
1.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.332 * [backup-simplify]: Simplify (+ 1 0) into 1
1.332 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.332 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.332 * [taylor]: Taking taylor expansion of 1/2 in y
1.332 * [backup-simplify]: Simplify 1/2 into 1/2
1.332 * [taylor]: Taking taylor expansion of y in y
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [backup-simplify]: Simplify 1 into 1
1.333 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.334 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.335 * [backup-simplify]: Simplify (+ 0 0) into 0
1.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.335 * [taylor]: Taking taylor expansion of 0 in y
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.336 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.336 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.336 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.336 * [taylor]: Taking taylor expansion of x in y
1.336 * [backup-simplify]: Simplify x into x
1.336 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.336 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.336 * [taylor]: Taking taylor expansion of y in y
1.336 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify 1 into 1
1.337 * [backup-simplify]: Simplify (* 1 1) into 1
1.337 * [backup-simplify]: Simplify (/ 1 1) into 1
1.337 * [backup-simplify]: Simplify (+ 0 1) into 1
1.338 * [backup-simplify]: Simplify (sqrt 1) into 1
1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.339 * [backup-simplify]: Simplify (+ 0 0) into 0
1.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.340 * [taylor]: Taking taylor expansion of x in x
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (* 1 1) into 1
1.340 * [backup-simplify]: Simplify (/ 1 1) into 1
1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.340 * [taylor]: Taking taylor expansion of y in x
1.340 * [backup-simplify]: Simplify y into y
1.341 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.341 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.341 * [backup-simplify]: Simplify (+ 1 0) into 1
1.341 * [backup-simplify]: Simplify (sqrt 1) into 1
1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.343 * [backup-simplify]: Simplify (+ 0 0) into 0
1.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.343 * [taylor]: Taking taylor expansion of x in x
1.343 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify 1 into 1
1.344 * [backup-simplify]: Simplify (* 1 1) into 1
1.344 * [backup-simplify]: Simplify (/ 1 1) into 1
1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.344 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.344 * [taylor]: Taking taylor expansion of y in x
1.344 * [backup-simplify]: Simplify y into y
1.344 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.344 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.345 * [backup-simplify]: Simplify (+ 1 0) into 1
1.345 * [backup-simplify]: Simplify (sqrt 1) into 1
1.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.346 * [backup-simplify]: Simplify (+ 0 0) into 0
1.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.347 * [taylor]: Taking taylor expansion of 1 in y
1.347 * [backup-simplify]: Simplify 1 into 1
1.347 * [taylor]: Taking taylor expansion of 0 in y
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify 1 into 1
1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.349 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.350 * [taylor]: Taking taylor expansion of 1/2 in y
1.350 * [backup-simplify]: Simplify 1/2 into 1/2
1.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.350 * [taylor]: Taking taylor expansion of y in y
1.350 * [backup-simplify]: Simplify 0 into 0
1.350 * [backup-simplify]: Simplify 1 into 1
1.350 * [backup-simplify]: Simplify (* 1 1) into 1
1.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.352 * [backup-simplify]: Simplify 0 into 0
1.352 * [backup-simplify]: Simplify 0 into 0
1.352 * [backup-simplify]: Simplify 0 into 0
1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.353 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.354 * [backup-simplify]: Simplify (+ 0 0) into 0
1.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.355 * [taylor]: Taking taylor expansion of 0 in y
1.355 * [backup-simplify]: Simplify 0 into 0
1.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.357 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.357 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.357 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.357 * [taylor]: Taking taylor expansion of x in y
1.357 * [backup-simplify]: Simplify x into x
1.357 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.357 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.357 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.357 * [taylor]: Taking taylor expansion of y in y
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify 1 into 1
1.357 * [backup-simplify]: Simplify (* 1 1) into 1
1.358 * [backup-simplify]: Simplify (/ 1 1) into 1
1.358 * [backup-simplify]: Simplify (+ 0 1) into 1
1.358 * [backup-simplify]: Simplify (sqrt 1) into 1
1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.360 * [backup-simplify]: Simplify (+ 0 0) into 0
1.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.364 * [taylor]: Taking taylor expansion of x in x
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 1 into 1
1.364 * [backup-simplify]: Simplify (* 1 1) into 1
1.365 * [backup-simplify]: Simplify (/ 1 1) into 1
1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.365 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.365 * [taylor]: Taking taylor expansion of y in x
1.365 * [backup-simplify]: Simplify y into y
1.365 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.365 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.365 * [backup-simplify]: Simplify (+ 1 0) into 1
1.366 * [backup-simplify]: Simplify (sqrt 1) into 1
1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.367 * [backup-simplify]: Simplify (+ 0 0) into 0
1.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.368 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.368 * [taylor]: Taking taylor expansion of x in x
1.368 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify 1 into 1
1.368 * [backup-simplify]: Simplify (* 1 1) into 1
1.369 * [backup-simplify]: Simplify (/ 1 1) into 1
1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.369 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.369 * [taylor]: Taking taylor expansion of y in x
1.369 * [backup-simplify]: Simplify y into y
1.369 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.369 * [backup-simplify]: Simplify (+ 1 0) into 1
1.370 * [backup-simplify]: Simplify (sqrt 1) into 1
1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.371 * [backup-simplify]: Simplify (+ 0 0) into 0
1.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.372 * [taylor]: Taking taylor expansion of 1 in y
1.372 * [backup-simplify]: Simplify 1 into 1
1.372 * [taylor]: Taking taylor expansion of 0 in y
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 1 into 1
1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.373 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.374 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.374 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.374 * [taylor]: Taking taylor expansion of 1/2 in y
1.374 * [backup-simplify]: Simplify 1/2 into 1/2
1.375 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.375 * [taylor]: Taking taylor expansion of y in y
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [backup-simplify]: Simplify (* 1 1) into 1
1.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.378 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.379 * [taylor]: Taking taylor expansion of 0 in y
1.379 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.381 * * * [progress]: simplifying candidates
1.383 * [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)
1.383 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
1.533 * * * [progress]: adding candidates to table
1.841 * * [progress]: iteration 4 / 4
1.841 * * * [progress]: picking best candidate
1.851 * * * * [pick]: Picked  #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>
1.851 * * * [progress]: localizing error
1.868 * * * [progress]: generating rewritten candidates
1.868 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
1.881 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
1.897 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1)
1.910 * * * [progress]: generating series expansions
1.910 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
1.910 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.910 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.910 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.910 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.910 * [taylor]: Taking taylor expansion of x in y
1.910 * [backup-simplify]: Simplify x into x
1.910 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.910 * [taylor]: Taking taylor expansion of y in y
1.910 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 1 into 1
1.911 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.911 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.911 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.911 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.911 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.912 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.912 * [taylor]: Taking taylor expansion of x in x
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.912 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.912 * [taylor]: Taking taylor expansion of y in x
1.912 * [backup-simplify]: Simplify y into y
1.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.912 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.912 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.912 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.913 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.913 * [taylor]: Taking taylor expansion of x in x
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 1 into 1
1.913 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.913 * [taylor]: Taking taylor expansion of y in x
1.913 * [backup-simplify]: Simplify y into y
1.913 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.913 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.913 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.913 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.914 * [backup-simplify]: Simplify (+ 0 0) into 0
1.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.914 * [taylor]: Taking taylor expansion of y in y
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [taylor]: Taking taylor expansion of 0 in y
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (* 1 1) into 1
1.915 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.915 * [backup-simplify]: Simplify (+ 1 0) into 1
1.916 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.916 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.916 * [taylor]: Taking taylor expansion of 1/2 in y
1.916 * [backup-simplify]: Simplify 1/2 into 1/2
1.916 * [taylor]: Taking taylor expansion of y in y
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 1 into 1
1.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.918 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.918 * [backup-simplify]: Simplify (+ 0 0) into 0
1.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.919 * [taylor]: Taking taylor expansion of 0 in y
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.920 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.920 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.920 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.920 * [taylor]: Taking taylor expansion of x in y
1.920 * [backup-simplify]: Simplify x into x
1.920 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.920 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.920 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.920 * [taylor]: Taking taylor expansion of y in y
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 1 into 1
1.921 * [backup-simplify]: Simplify (* 1 1) into 1
1.921 * [backup-simplify]: Simplify (/ 1 1) into 1
1.921 * [backup-simplify]: Simplify (+ 0 1) into 1
1.922 * [backup-simplify]: Simplify (sqrt 1) into 1
1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.924 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.924 * [taylor]: Taking taylor expansion of x in x
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [backup-simplify]: Simplify (* 1 1) into 1
1.924 * [backup-simplify]: Simplify (/ 1 1) into 1
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.924 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.924 * [taylor]: Taking taylor expansion of y in x
1.924 * [backup-simplify]: Simplify y into y
1.925 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.925 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.925 * [backup-simplify]: Simplify (+ 1 0) into 1
1.925 * [backup-simplify]: Simplify (sqrt 1) into 1
1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.928 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.928 * [taylor]: Taking taylor expansion of x in x
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify (* 1 1) into 1
1.928 * [backup-simplify]: Simplify (/ 1 1) into 1
1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.928 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.928 * [taylor]: Taking taylor expansion of y in x
1.928 * [backup-simplify]: Simplify y into y
1.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.929 * [backup-simplify]: Simplify (+ 1 0) into 1
1.929 * [backup-simplify]: Simplify (sqrt 1) into 1
1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.931 * [taylor]: Taking taylor expansion of 1 in y
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [taylor]: Taking taylor expansion of 0 in y
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.934 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.934 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.934 * [taylor]: Taking taylor expansion of 1/2 in y
1.934 * [backup-simplify]: Simplify 1/2 into 1/2
1.934 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.934 * [taylor]: Taking taylor expansion of y in y
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 1 into 1
1.935 * [backup-simplify]: Simplify (* 1 1) into 1
1.935 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.939 * [taylor]: Taking taylor expansion of 0 in y
1.939 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.941 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.941 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.941 * [taylor]: Taking taylor expansion of x in y
1.941 * [backup-simplify]: Simplify x into x
1.941 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.941 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.941 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.941 * [taylor]: Taking taylor expansion of y in y
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.942 * [backup-simplify]: Simplify (/ 1 1) into 1
1.942 * [backup-simplify]: Simplify (+ 0 1) into 1
1.943 * [backup-simplify]: Simplify (sqrt 1) into 1
1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.945 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.945 * [taylor]: Taking taylor expansion of x in x
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [backup-simplify]: Simplify (* 1 1) into 1
1.946 * [backup-simplify]: Simplify (/ 1 1) into 1
1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.946 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.946 * [taylor]: Taking taylor expansion of y in x
1.946 * [backup-simplify]: Simplify y into y
1.946 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.946 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.946 * [backup-simplify]: Simplify (+ 1 0) into 1
1.947 * [backup-simplify]: Simplify (sqrt 1) into 1
1.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.948 * [backup-simplify]: Simplify (+ 0 0) into 0
1.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.949 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.949 * [taylor]: Taking taylor expansion of x in x
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 1 into 1
1.949 * [backup-simplify]: Simplify (* 1 1) into 1
1.949 * [backup-simplify]: Simplify (/ 1 1) into 1
1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.949 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.949 * [taylor]: Taking taylor expansion of y in x
1.949 * [backup-simplify]: Simplify y into y
1.950 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.950 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.950 * [backup-simplify]: Simplify (+ 1 0) into 1
1.950 * [backup-simplify]: Simplify (sqrt 1) into 1
1.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.953 * [taylor]: Taking taylor expansion of 1 in y
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [taylor]: Taking taylor expansion of 0 in y
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.955 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.955 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.956 * [taylor]: Taking taylor expansion of 1/2 in y
1.956 * [backup-simplify]: Simplify 1/2 into 1/2
1.956 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.956 * [taylor]: Taking taylor expansion of y in y
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 1 into 1
1.956 * [backup-simplify]: Simplify (* 1 1) into 1
1.956 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.966 * [taylor]: Taking taylor expansion of 0 in y
1.966 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.968 * * * * [progress]: [ 2 / 3 ] generating series at (2)
1.968 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2)))
1.968 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.968 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.968 * [taylor]: Taking taylor expansion of x in y
1.968 * [backup-simplify]: Simplify x into x
1.968 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.968 * [taylor]: Taking taylor expansion of y in y
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.969 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.969 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.969 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.969 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.969 * [taylor]: Taking taylor expansion of x in x
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 1 into 1
1.970 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.970 * [taylor]: Taking taylor expansion of y in x
1.970 * [backup-simplify]: Simplify y into y
1.970 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.970 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.970 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.970 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.971 * [taylor]: Taking taylor expansion of x in x
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.971 * [taylor]: Taking taylor expansion of y in x
1.971 * [backup-simplify]: Simplify y into y
1.971 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.971 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.971 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.971 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.972 * [backup-simplify]: Simplify (+ 0 0) into 0
1.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.972 * [taylor]: Taking taylor expansion of y in y
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [taylor]: Taking taylor expansion of 0 in y
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (* 1 1) into 1
1.973 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.973 * [backup-simplify]: Simplify (+ 1 0) into 1
1.974 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.974 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.974 * [taylor]: Taking taylor expansion of 1/2 in y
1.974 * [backup-simplify]: Simplify 1/2 into 1/2
1.974 * [taylor]: Taking taylor expansion of y in y
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.977 * [taylor]: Taking taylor expansion of 0 in y
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.978 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.978 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.978 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.978 * [taylor]: Taking taylor expansion of x in y
1.978 * [backup-simplify]: Simplify x into x
1.978 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.978 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.978 * [taylor]: Taking taylor expansion of y in y
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (* 1 1) into 1
1.979 * [backup-simplify]: Simplify (/ 1 1) into 1
1.979 * [backup-simplify]: Simplify (+ 0 1) into 1
1.980 * [backup-simplify]: Simplify (sqrt 1) into 1
1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.981 * [backup-simplify]: Simplify (+ 0 0) into 0
1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.982 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.982 * [taylor]: Taking taylor expansion of x in x
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.982 * [backup-simplify]: Simplify (* 1 1) into 1
1.982 * [backup-simplify]: Simplify (/ 1 1) into 1
1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.982 * [taylor]: Taking taylor expansion of y in x
1.983 * [backup-simplify]: Simplify y into y
1.983 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.983 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.983 * [backup-simplify]: Simplify (+ 1 0) into 1
1.983 * [backup-simplify]: Simplify (sqrt 1) into 1
1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.985 * [backup-simplify]: Simplify (+ 0 0) into 0
1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.985 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.985 * [taylor]: Taking taylor expansion of x in x
1.985 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify 1 into 1
1.986 * [backup-simplify]: Simplify (* 1 1) into 1
1.986 * [backup-simplify]: Simplify (/ 1 1) into 1
1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.986 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.986 * [taylor]: Taking taylor expansion of y in x
1.986 * [backup-simplify]: Simplify y into y
1.986 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.986 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.987 * [backup-simplify]: Simplify (+ 1 0) into 1
1.987 * [backup-simplify]: Simplify (sqrt 1) into 1
1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.988 * [backup-simplify]: Simplify (+ 0 0) into 0
1.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.989 * [taylor]: Taking taylor expansion of 1 in y
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [taylor]: Taking taylor expansion of 0 in y
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.992 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.992 * [taylor]: Taking taylor expansion of 1/2 in y
1.992 * [backup-simplify]: Simplify 1/2 into 1/2
1.992 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.992 * [taylor]: Taking taylor expansion of y in y
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (* 1 1) into 1
1.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.996 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.996 * [backup-simplify]: Simplify (+ 0 0) into 0
1.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.997 * [taylor]: Taking taylor expansion of 0 in y
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.999 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.999 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.999 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.999 * [taylor]: Taking taylor expansion of x in y
1.999 * [backup-simplify]: Simplify x into x
1.999 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.999 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.999 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.999 * [taylor]: Taking taylor expansion of y in y
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify (* 1 1) into 1
2.000 * [backup-simplify]: Simplify (/ 1 1) into 1
2.000 * [backup-simplify]: Simplify (+ 0 1) into 1
2.001 * [backup-simplify]: Simplify (sqrt 1) into 1
2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.002 * [backup-simplify]: Simplify (+ 0 0) into 0
2.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.003 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.003 * [taylor]: Taking taylor expansion of x in x
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify 1 into 1
2.003 * [backup-simplify]: Simplify (* 1 1) into 1
2.004 * [backup-simplify]: Simplify (/ 1 1) into 1
2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.004 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.004 * [taylor]: Taking taylor expansion of y in x
2.004 * [backup-simplify]: Simplify y into y
2.004 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.004 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.004 * [backup-simplify]: Simplify (+ 1 0) into 1
2.005 * [backup-simplify]: Simplify (sqrt 1) into 1
2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.007 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.007 * [taylor]: Taking taylor expansion of x in x
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 1 into 1
2.007 * [backup-simplify]: Simplify (* 1 1) into 1
2.007 * [backup-simplify]: Simplify (/ 1 1) into 1
2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.008 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.008 * [taylor]: Taking taylor expansion of y in x
2.008 * [backup-simplify]: Simplify y into y
2.008 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.008 * [backup-simplify]: Simplify (+ 1 0) into 1
2.008 * [backup-simplify]: Simplify (sqrt 1) into 1
2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.010 * [backup-simplify]: Simplify (+ 0 0) into 0
2.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.010 * [taylor]: Taking taylor expansion of 1 in y
2.010 * [backup-simplify]: Simplify 1 into 1
2.010 * [taylor]: Taking taylor expansion of 0 in y
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.013 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.013 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.013 * [taylor]: Taking taylor expansion of 1/2 in y
2.013 * [backup-simplify]: Simplify 1/2 into 1/2
2.013 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.013 * [taylor]: Taking taylor expansion of y in y
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 1 into 1
2.014 * [backup-simplify]: Simplify (* 1 1) into 1
2.014 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.017 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.018 * [backup-simplify]: Simplify (+ 0 0) into 0
2.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.018 * [taylor]: Taking taylor expansion of 0 in y
2.018 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.020 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1)
2.021 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
2.021 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.021 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.021 * [taylor]: Taking taylor expansion of x in y
2.021 * [backup-simplify]: Simplify x into x
2.021 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.021 * [taylor]: Taking taylor expansion of y in y
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 1 into 1
2.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.021 * [taylor]: Taking taylor expansion of x in x
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 1 into 1
2.021 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.021 * [taylor]: Taking taylor expansion of y in x
2.021 * [backup-simplify]: Simplify y into y
2.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.021 * [taylor]: Taking taylor expansion of x in x
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 1 into 1
2.021 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.021 * [taylor]: Taking taylor expansion of y in x
2.021 * [backup-simplify]: Simplify y into y
2.021 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.021 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.021 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.021 * [taylor]: Taking taylor expansion of y in y
2.021 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify 1 into 1
2.022 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.022 * [backup-simplify]: Simplify (+ 0 0) into 0
2.022 * [taylor]: Taking taylor expansion of 0 in y
2.022 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify (* 1 1) into 1
2.023 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.023 * [backup-simplify]: Simplify (+ 1 0) into 1
2.023 * [taylor]: Taking taylor expansion of 1 in y
2.023 * [backup-simplify]: Simplify 1 into 1
2.023 * [backup-simplify]: Simplify 1 into 1
2.023 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify (* 1 1) into 1
2.024 * [backup-simplify]: Simplify 1 into 1
2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.025 * [backup-simplify]: Simplify (+ 0 0) into 0
2.025 * [taylor]: Taking taylor expansion of 0 in y
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.026 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.028 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [taylor]: Taking taylor expansion of 0 in y
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.029 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.029 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.029 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.029 * [taylor]: Taking taylor expansion of x in y
2.029 * [backup-simplify]: Simplify x into x
2.029 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.029 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.029 * [taylor]: Taking taylor expansion of y in y
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 1 into 1
2.029 * [backup-simplify]: Simplify (* 1 1) into 1
2.030 * [backup-simplify]: Simplify (/ 1 1) into 1
2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.030 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.030 * [taylor]: Taking taylor expansion of x in x
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.030 * [backup-simplify]: Simplify (* 1 1) into 1
2.031 * [backup-simplify]: Simplify (/ 1 1) into 1
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.031 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.031 * [taylor]: Taking taylor expansion of y in x
2.031 * [backup-simplify]: Simplify y into y
2.031 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.031 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.031 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.031 * [taylor]: Taking taylor expansion of x in x
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 1 into 1
2.031 * [backup-simplify]: Simplify (* 1 1) into 1
2.032 * [backup-simplify]: Simplify (/ 1 1) into 1
2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.032 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.032 * [taylor]: Taking taylor expansion of y in x
2.032 * [backup-simplify]: Simplify y into y
2.032 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.032 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.033 * [backup-simplify]: Simplify (+ 1 0) into 1
2.033 * [taylor]: Taking taylor expansion of 1 in y
2.033 * [backup-simplify]: Simplify 1 into 1
2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [taylor]: Taking taylor expansion of 0 in y
2.034 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.036 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.036 * [taylor]: Taking taylor expansion of y in y
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (* 1 1) into 1
2.037 * [backup-simplify]: Simplify (/ 1 1) into 1
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.039 * [taylor]: Taking taylor expansion of 0 in y
2.039 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.043 * [backup-simplify]: Simplify (+ 0 0) into 0
2.043 * [taylor]: Taking taylor expansion of 0 in y
2.043 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.045 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.045 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.046 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.046 * [taylor]: Taking taylor expansion of x in y
2.046 * [backup-simplify]: Simplify x into x
2.046 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.046 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.046 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.046 * [taylor]: Taking taylor expansion of y in y
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (* 1 1) into 1
2.047 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.047 * [taylor]: Taking taylor expansion of x in x
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [backup-simplify]: Simplify (* 1 1) into 1
2.047 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.047 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.047 * [taylor]: Taking taylor expansion of y in x
2.047 * [backup-simplify]: Simplify y into y
2.047 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.048 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.048 * [taylor]: Taking taylor expansion of x in x
2.048 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify 1 into 1
2.048 * [backup-simplify]: Simplify (* 1 1) into 1
2.048 * [backup-simplify]: Simplify (/ 1 1) into 1
2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.048 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.048 * [taylor]: Taking taylor expansion of y in x
2.049 * [backup-simplify]: Simplify y into y
2.049 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.049 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.049 * [backup-simplify]: Simplify (+ 1 0) into 1
2.049 * [taylor]: Taking taylor expansion of 1 in y
2.049 * [backup-simplify]: Simplify 1 into 1
2.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.051 * [backup-simplify]: Simplify (+ 0 0) into 0
2.051 * [taylor]: Taking taylor expansion of 0 in y
2.051 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.053 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.053 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.053 * [taylor]: Taking taylor expansion of y in y
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 1 into 1
2.053 * [backup-simplify]: Simplify (* 1 1) into 1
2.053 * [backup-simplify]: Simplify (/ 1 1) into 1
2.053 * [backup-simplify]: Simplify 1 into 1
2.053 * [backup-simplify]: Simplify 1 into 1
2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.056 * [backup-simplify]: Simplify (+ 0 0) into 0
2.056 * [taylor]: Taking taylor expansion of 0 in y
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.060 * [backup-simplify]: Simplify (+ 0 0) into 0
2.060 * [taylor]: Taking taylor expansion of 0 in y
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.062 * * * [progress]: simplifying candidates
2.063 * [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))
2.063 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (/ 1 2))
 (exp 1)
 (exp (/ 1 2))
 (exp (* (cbrt (log (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (log (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (exp (sqrt (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp 1)
 (exp (log (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (exp (log (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (log (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (exp (log (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))))
 (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (log (sqrt 1)))
 (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (log 1))
 (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (exp (log (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (exp (log (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))))
 (exp (log (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (exp (log (sqrt (- (* h1 h1) (* h0 h0)))))
 (log (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (cbrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (cbrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (* (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))) (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (sqrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (sqrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
2.183 * * * [progress]: adding candidates to table
2.346 * [progress]: [Phase 3 of 3] Extracting.
2.346 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.347 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
2.347 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.382 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.416 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.467 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.499 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.540 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (pow E (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.557 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.602 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (pow E (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.627 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.673 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.725 * * * [regime]: Found split indices: #<option (#s(si 1 31) #s(si 4 205) #s(si 5 255))>
2.726 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.780 * [regimes]: Found splitpoints: (#s(sp 1 x -1.2876568362185878e+137) #s(sp 4 x 2.7153468834491098e+73) #s(sp 5 x +nan.0)) , with alts (#<alt (λ (x y) (* (* (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))))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (pow E (log (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 (* -1 x))))>)
2.780 * [simplify]: Simplifying:
  (if (<= x -1.2876568362185878e+137) (* -1 x) (if (<= x 2.7153468834491098e+73) (sqrt (+ (* x x) (* y y))) x))
2.780 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -1.2876568362185878e+137) (* -1 h0) (if (<= h0 2.7153468834491098e+73) (sqrt (+ (* h0 h0) (* h1 h1))) h0))
4.064 * [regime-testing]: Baseline error score: 31.865576303531874
4.066 * [regime-testing]: Oracle error score: 7.78393341212095
4.070 * [regime-testing]: End program error score: 17.675893899556534
4.128 * [regime-testing]: Target error score: 17.577086538782723