38.467 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.020 * [progress]: [Phase 2 of 3] Improving.
0.020 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.020 * * [simplify]: Extracting # 0 : cost  0
0.020 * * [simplify]: Extracting # 1 : cost  0
0.020 * * [simplify]: Extracting # 2 : cost  0
0.020 * * [simplify]: Extracting # 3 : cost  0
0.020 * * [simplify]: Extracting # 4 : cost  0
0.020 * * [simplify]: Extracting # 5 : cost  0
0.020 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
0.021 * * [simplify]: Extracting # 0 : cost  0
0.021 * * [simplify]: iteration  1 :  7  enodes  (cost  8 )
0.022 * * [simplify]: Extracting # 0 : cost  0
0.023 * * [simplify]: iteration done:  7  enodes  (cost  8 )
0.023 * [simplify]: Simplified to:
  (sqrt (+ (* x x) (* y y)))
0.023 * * [progress]: iteration 1 / 4
0.023 * * * [progress]: picking best candidate
0.025 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.025 * * * [progress]: localizing error
0.031 * * * [progress]: generating rewritten candidates
0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.054 * * * [progress]: generating series expansions
0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.055 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.055 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.055 * [taylor]: Taking taylor expansion of x in y
0.055 * [backup-simplify]: Simplify x into x
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.055 * [taylor]: Taking taylor expansion of y in y
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.055 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.055 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.055 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.056 * [taylor]: Taking taylor expansion of x in x
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.056 * [taylor]: Taking taylor expansion of y in x
0.056 * [backup-simplify]: Simplify y into y
0.056 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.056 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.056 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.057 * [taylor]: Taking taylor expansion of x in x
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.057 * [taylor]: Taking taylor expansion of y in x
0.057 * [backup-simplify]: Simplify y into y
0.057 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.058 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.058 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.058 * [taylor]: Taking taylor expansion of y in y
0.058 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [taylor]: Taking taylor expansion of 0 in y
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (* 1 1) into 1
0.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.060 * [backup-simplify]: Simplify (+ 1 0) into 1
0.060 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.060 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.061 * [taylor]: Taking taylor expansion of 1/2 in y
0.061 * [backup-simplify]: Simplify 1/2 into 1/2
0.061 * [taylor]: Taking taylor expansion of y in y
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 1 into 1
0.061 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.064 * [taylor]: Taking taylor expansion of 0 in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.065 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.065 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.065 * [taylor]: Taking taylor expansion of x in y
0.065 * [backup-simplify]: Simplify x into x
0.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.065 * [taylor]: Taking taylor expansion of y in y
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.066 * [backup-simplify]: Simplify (+ 0 1) into 1
0.067 * [backup-simplify]: Simplify (sqrt 1) into 1
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.069 * [taylor]: Taking taylor expansion of x in x
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (/ 1 1) into 1
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.070 * [taylor]: Taking taylor expansion of y in x
0.070 * [backup-simplify]: Simplify y into y
0.070 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.071 * [backup-simplify]: Simplify (+ 1 0) into 1
0.071 * [backup-simplify]: Simplify (sqrt 1) into 1
0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [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)
0.074 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.074 * [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
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.080 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.080 * [taylor]: Taking taylor expansion of 1/2 in y
0.080 * [backup-simplify]: Simplify 1/2 into 1/2
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (* 1 1) into 1
0.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.086 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.086 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.086 * [taylor]: Taking taylor expansion of x in y
0.086 * [backup-simplify]: Simplify x into x
0.086 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.086 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.086 * [taylor]: Taking taylor expansion of y in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.087 * [backup-simplify]: Simplify (/ 1 1) into 1
0.087 * [backup-simplify]: Simplify (+ 0 1) into 1
0.087 * [backup-simplify]: Simplify (sqrt 1) into 1
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [backup-simplify]: Simplify y into y
0.090 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.091 * [backup-simplify]: Simplify (sqrt 1) into 1
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.094 * [taylor]: Taking taylor expansion of y in x
0.094 * [backup-simplify]: Simplify y into y
0.094 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.095 * [backup-simplify]: Simplify (+ 1 0) into 1
0.095 * [backup-simplify]: Simplify (sqrt 1) into 1
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.097 * [taylor]: Taking taylor expansion of 1 in y
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [taylor]: Taking taylor expansion of 0 in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.100 * [taylor]: Taking taylor expansion of 1/2 in y
0.100 * [backup-simplify]: Simplify 1/2 into 1/2
0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.100 * [taylor]: Taking taylor expansion of y in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (* 1 1) into 1
0.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.106 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.106 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.106 * [taylor]: Taking taylor expansion of x in y
0.106 * [backup-simplify]: Simplify x into x
0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.106 * [taylor]: Taking taylor expansion of y in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.106 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.106 * [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 (+ (* y 0) (* 0 y)) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [taylor]: Taking taylor expansion of 0 in y
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.108 * [backup-simplify]: Simplify (+ 1 0) into 1
0.108 * [taylor]: Taking taylor expansion of 1 in y
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [taylor]: Taking taylor expansion of 0 in y
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.111 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.112 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.112 * [taylor]: Taking taylor expansion of x in y
0.112 * [backup-simplify]: Simplify x into x
0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.112 * [taylor]: Taking taylor expansion of y in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
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 (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.114 * [backup-simplify]: Simplify (/ 1 1) into 1
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.114 * [taylor]: Taking taylor expansion of y in x
0.114 * [backup-simplify]: Simplify y into y
0.114 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
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 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.117 * [taylor]: Taking taylor expansion of y in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [taylor]: Taking taylor expansion of 0 in y
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [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 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.127 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.127 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.127 * [taylor]: Taking taylor expansion of x in y
0.127 * [backup-simplify]: Simplify x into x
0.127 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.127 * [taylor]: Taking taylor expansion of y in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (* 1 1) into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ 1 1) into 1
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.129 * [taylor]: Taking taylor expansion of y in x
0.129 * [backup-simplify]: Simplify y into y
0.129 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.129 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.129 * [taylor]: Taking taylor expansion of x in x
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.130 * [taylor]: Taking taylor expansion of y in x
0.130 * [backup-simplify]: Simplify y into y
0.130 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.130 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.130 * [backup-simplify]: Simplify (+ 1 0) into 1
0.130 * [taylor]: Taking taylor expansion of 1 in y
0.130 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [taylor]: Taking taylor expansion of 0 in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.133 * [taylor]: Taking taylor expansion of y in y
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (* 1 1) into 1
0.134 * [backup-simplify]: Simplify (/ 1 1) into 1
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [taylor]: Taking taylor expansion of 0 in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [taylor]: Taking taylor expansion of 0 in y
0.141 * [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 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.142 * * * [progress]: simplifying candidates
0.143 * [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))
0.144 * * [simplify]: Extracting # 0 : cost  0
0.144 * * [simplify]: Extracting # 1 : cost  0
0.144 * * [simplify]: Extracting # 2 : cost  0
0.144 * * [simplify]: Extracting # 3 : cost  0
0.144 * * [simplify]: Extracting # 4 : cost  0
0.145 * * [simplify]: Extracting # 5 : cost  0
0.145 * * [simplify]: iteration  0 :  48  enodes  (cost  379 )
0.160 * * [simplify]: Extracting # 0 : cost  0
0.160 * * [simplify]: Extracting # 1 : cost  0
0.160 * * [simplify]: Extracting # 2 : cost  0
0.161 * * [simplify]: Extracting # 3 : cost  0
0.161 * * [simplify]: Extracting # 4 : cost  0
0.161 * * [simplify]: iteration  1 :  124  enodes  (cost  347 )
0.230 * * [simplify]: Extracting # 0 : cost  0
0.230 * * [simplify]: Extracting # 1 : cost  0
0.231 * * [simplify]: Extracting # 2 : cost  0
0.231 * * [simplify]: Extracting # 3 : cost  0
0.231 * * [simplify]: Extracting # 4 : cost  0
0.232 * * [simplify]: iteration  2 :  343  enodes  (cost  295 )
0.442 * * [simplify]: Extracting # 0 : cost  0
0.444 * * [simplify]: Extracting # 1 : cost  0
0.445 * * [simplify]: Extracting # 2 : cost  0
0.446 * * [simplify]: Extracting # 3 : cost  0
0.448 * * [simplify]: Extracting # 4 : cost  0
0.454 * * [simplify]: iteration  3 :  968  enodes  (cost  295 )
1.379 * * [simplify]: Extracting # 0 : cost  0
1.383 * * [simplify]: Extracting # 1 : cost  0
1.386 * * [simplify]: Extracting # 2 : cost  0
1.392 * * [simplify]: Extracting # 3 : cost  0
1.395 * * [simplify]: Extracting # 4 : cost  0
1.397 * * [simplify]: iteration  4 :  2668  enodes  (cost  295 )
2.642 * * [simplify]: Extracting # 0 : cost  0
2.650 * * [simplify]: Extracting # 1 : cost  0
2.659 * * [simplify]: Extracting # 2 : cost  0
2.667 * * [simplify]: Extracting # 3 : cost  0
2.676 * * [simplify]: Extracting # 4 : cost  0
2.684 * * [simplify]: iteration done:  5000  enodes  (cost  295 )
2.685 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
2.685 * * * [progress]: adding candidates to table
2.774 * * [progress]: iteration 2 / 4
2.774 * * * [progress]: picking best candidate
2.793 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
2.793 * * * [progress]: localizing error
2.814 * * * [progress]: generating rewritten candidates
2.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
2.828 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
2.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
2.957 * * * [progress]: generating series expansions
2.957 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
2.957 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.957 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.957 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.957 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.957 * [taylor]: Taking taylor expansion of x in y
2.957 * [backup-simplify]: Simplify x into x
2.957 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.957 * [taylor]: Taking taylor expansion of y in y
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.957 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.958 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.958 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.958 * [backup-simplify]: Simplify (+ 0 0) into 0
2.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.959 * [taylor]: Taking taylor expansion of x in x
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.959 * [taylor]: Taking taylor expansion of y in x
2.959 * [backup-simplify]: Simplify y into y
2.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.959 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.959 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.959 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.960 * [backup-simplify]: Simplify (+ 0 0) into 0
2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.960 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.960 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.960 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.960 * [taylor]: Taking taylor expansion of x in x
2.960 * [backup-simplify]: Simplify 0 into 0
2.960 * [backup-simplify]: Simplify 1 into 1
2.960 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.960 * [taylor]: Taking taylor expansion of y in x
2.960 * [backup-simplify]: Simplify y into y
2.960 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.960 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.960 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.961 * [backup-simplify]: Simplify (+ 0 0) into 0
2.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.961 * [taylor]: Taking taylor expansion of y in y
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [taylor]: Taking taylor expansion of 0 in y
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (* 1 1) into 1
2.962 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.962 * [backup-simplify]: Simplify (+ 1 0) into 1
2.963 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.963 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.963 * [taylor]: Taking taylor expansion of 1/2 in y
2.963 * [backup-simplify]: Simplify 1/2 into 1/2
2.963 * [taylor]: Taking taylor expansion of y in y
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 1 into 1
2.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.966 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.966 * [backup-simplify]: Simplify (+ 0 0) into 0
2.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.966 * [taylor]: Taking taylor expansion of 0 in y
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.968 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.968 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.968 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.968 * [taylor]: Taking taylor expansion of x in y
2.968 * [backup-simplify]: Simplify x into x
2.968 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.968 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.968 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.968 * [taylor]: Taking taylor expansion of y in y
2.968 * [backup-simplify]: Simplify 0 into 0
2.968 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (* 1 1) into 1
2.969 * [backup-simplify]: Simplify (/ 1 1) into 1
2.969 * [backup-simplify]: Simplify (+ 0 1) into 1
2.970 * [backup-simplify]: Simplify (sqrt 1) into 1
2.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (+ 0 0) into 0
2.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.972 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.972 * [taylor]: Taking taylor expansion of x in x
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify 1 into 1
2.973 * [backup-simplify]: Simplify (* 1 1) into 1
2.973 * [backup-simplify]: Simplify (/ 1 1) into 1
2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.973 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.973 * [taylor]: Taking taylor expansion of y in x
2.973 * [backup-simplify]: Simplify y into y
2.973 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.973 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.974 * [backup-simplify]: Simplify (+ 1 0) into 1
2.974 * [backup-simplify]: Simplify (sqrt 1) into 1
2.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.976 * [backup-simplify]: Simplify (+ 0 0) into 0
2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.982 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.982 * [taylor]: Taking taylor expansion of x in x
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (* 1 1) into 1
2.983 * [backup-simplify]: Simplify (/ 1 1) into 1
2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.983 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.983 * [taylor]: Taking taylor expansion of y in x
2.983 * [backup-simplify]: Simplify y into y
2.983 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.983 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.984 * [backup-simplify]: Simplify (+ 1 0) into 1
2.984 * [backup-simplify]: Simplify (sqrt 1) into 1
2.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.986 * [backup-simplify]: Simplify (+ 0 0) into 0
2.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.987 * [taylor]: Taking taylor expansion of 1 in y
2.987 * [backup-simplify]: Simplify 1 into 1
2.987 * [taylor]: Taking taylor expansion of 0 in y
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 1 into 1
2.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.989 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.990 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.990 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.990 * [taylor]: Taking taylor expansion of 1/2 in y
2.990 * [backup-simplify]: Simplify 1/2 into 1/2
2.990 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.990 * [taylor]: Taking taylor expansion of y in y
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (* 1 1) into 1
2.991 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.994 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.994 * [backup-simplify]: Simplify (+ 0 0) into 0
2.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.995 * [taylor]: Taking taylor expansion of 0 in y
2.995 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.998 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.998 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.998 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.998 * [taylor]: Taking taylor expansion of x in y
2.998 * [backup-simplify]: Simplify x into x
2.998 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.998 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.998 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.998 * [taylor]: Taking taylor expansion of y in y
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.999 * [backup-simplify]: Simplify (* 1 1) into 1
2.999 * [backup-simplify]: Simplify (/ 1 1) into 1
3.000 * [backup-simplify]: Simplify (+ 0 1) into 1
3.000 * [backup-simplify]: Simplify (sqrt 1) into 1
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (+ 0 0) into 0
3.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.002 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.002 * [taylor]: Taking taylor expansion of x in x
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [backup-simplify]: Simplify 1 into 1
3.003 * [backup-simplify]: Simplify (* 1 1) into 1
3.003 * [backup-simplify]: Simplify (/ 1 1) into 1
3.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.003 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.003 * [taylor]: Taking taylor expansion of y in x
3.003 * [backup-simplify]: Simplify y into y
3.003 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.003 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.004 * [backup-simplify]: Simplify (+ 1 0) into 1
3.004 * [backup-simplify]: Simplify (sqrt 1) into 1
3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ 0 0) into 0
3.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.007 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.007 * [taylor]: Taking taylor expansion of x in x
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify 1 into 1
3.007 * [backup-simplify]: Simplify (* 1 1) into 1
3.007 * [backup-simplify]: Simplify (/ 1 1) into 1
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.007 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.007 * [taylor]: Taking taylor expansion of y in x
3.007 * [backup-simplify]: Simplify y into y
3.008 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.008 * [backup-simplify]: Simplify (+ 1 0) into 1
3.008 * [backup-simplify]: Simplify (sqrt 1) into 1
3.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.010 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.011 * [taylor]: Taking taylor expansion of 1 in y
3.011 * [backup-simplify]: Simplify 1 into 1
3.011 * [taylor]: Taking taylor expansion of 0 in y
3.011 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify 1 into 1
3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.013 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.014 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.014 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.014 * [taylor]: Taking taylor expansion of 1/2 in y
3.014 * [backup-simplify]: Simplify 1/2 into 1/2
3.014 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.014 * [taylor]: Taking taylor expansion of y in y
3.014 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify 1 into 1
3.015 * [backup-simplify]: Simplify (* 1 1) into 1
3.015 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.019 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.019 * [backup-simplify]: Simplify (+ 0 0) into 0
3.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.020 * [taylor]: Taking taylor expansion of 0 in y
3.020 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
3.022 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
3.022 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
3.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
3.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.022 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.022 * [taylor]: Taking taylor expansion of x in y
3.022 * [backup-simplify]: Simplify x into x
3.022 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.022 * [taylor]: Taking taylor expansion of y in y
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify 1 into 1
3.023 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.023 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.023 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.023 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.024 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.024 * [taylor]: Taking taylor expansion of x in x
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.024 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.024 * [taylor]: Taking taylor expansion of y in x
3.024 * [backup-simplify]: Simplify y into y
3.024 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.024 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.024 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.025 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.025 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.025 * [taylor]: Taking taylor expansion of x in x
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 1 into 1
3.025 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.025 * [taylor]: Taking taylor expansion of y in x
3.025 * [backup-simplify]: Simplify y into y
3.025 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.025 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.025 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.025 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.026 * [backup-simplify]: Simplify (+ 0 0) into 0
3.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.026 * [taylor]: Taking taylor expansion of y in y
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 1 into 1
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [taylor]: Taking taylor expansion of 0 in y
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 1 into 1
3.027 * [backup-simplify]: Simplify (* 1 1) into 1
3.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.028 * [backup-simplify]: Simplify (+ 1 0) into 1
3.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.028 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.028 * [taylor]: Taking taylor expansion of 1/2 in y
3.028 * [backup-simplify]: Simplify 1/2 into 1/2
3.028 * [taylor]: Taking taylor expansion of y in y
3.028 * [backup-simplify]: Simplify 0 into 0
3.028 * [backup-simplify]: Simplify 1 into 1
3.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.031 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.031 * [backup-simplify]: Simplify (+ 0 0) into 0
3.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
3.032 * [taylor]: Taking taylor expansion of 0 in y
3.032 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
3.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.033 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.033 * [taylor]: Taking taylor expansion of x in y
3.033 * [backup-simplify]: Simplify x into x
3.033 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.034 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.034 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.034 * [taylor]: Taking taylor expansion of y in y
3.034 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify 1 into 1
3.034 * [backup-simplify]: Simplify (* 1 1) into 1
3.035 * [backup-simplify]: Simplify (/ 1 1) into 1
3.035 * [backup-simplify]: Simplify (+ 0 1) into 1
3.035 * [backup-simplify]: Simplify (sqrt 1) into 1
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.036 * [backup-simplify]: Simplify (+ 0 0) into 0
3.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.037 * [taylor]: Taking taylor expansion of x in x
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.037 * [backup-simplify]: Simplify (* 1 1) into 1
3.037 * [backup-simplify]: Simplify (/ 1 1) into 1
3.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.037 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.037 * [taylor]: Taking taylor expansion of y in x
3.037 * [backup-simplify]: Simplify y into y
3.037 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.038 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.038 * [backup-simplify]: Simplify (+ 1 0) into 1
3.038 * [backup-simplify]: Simplify (sqrt 1) into 1
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.039 * [backup-simplify]: Simplify (+ 0 0) into 0
3.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.040 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.040 * [taylor]: Taking taylor expansion of x in x
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [backup-simplify]: Simplify 1 into 1
3.040 * [backup-simplify]: Simplify (* 1 1) into 1
3.040 * [backup-simplify]: Simplify (/ 1 1) into 1
3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.040 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.040 * [taylor]: Taking taylor expansion of y in x
3.040 * [backup-simplify]: Simplify y into y
3.040 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.041 * [backup-simplify]: Simplify (+ 1 0) into 1
3.041 * [backup-simplify]: Simplify (sqrt 1) into 1
3.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (+ 0 0) into 0
3.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.042 * [taylor]: Taking taylor expansion of 1 in y
3.042 * [backup-simplify]: Simplify 1 into 1
3.042 * [taylor]: Taking taylor expansion of 0 in y
3.042 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 1 into 1
3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.044 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.045 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.045 * [taylor]: Taking taylor expansion of 1/2 in y
3.045 * [backup-simplify]: Simplify 1/2 into 1/2
3.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.045 * [taylor]: Taking taylor expansion of y in y
3.045 * [backup-simplify]: Simplify 0 into 0
3.045 * [backup-simplify]: Simplify 1 into 1
3.045 * [backup-simplify]: Simplify (* 1 1) into 1
3.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.048 * [backup-simplify]: Simplify (+ 0 0) into 0
3.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.048 * [taylor]: Taking taylor expansion of 0 in y
3.048 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.050 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.050 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.050 * [taylor]: Taking taylor expansion of x in y
3.050 * [backup-simplify]: Simplify x into x
3.050 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.050 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.050 * [taylor]: Taking taylor expansion of y in y
3.050 * [backup-simplify]: Simplify 0 into 0
3.050 * [backup-simplify]: Simplify 1 into 1
3.050 * [backup-simplify]: Simplify (* 1 1) into 1
3.050 * [backup-simplify]: Simplify (/ 1 1) into 1
3.051 * [backup-simplify]: Simplify (+ 0 1) into 1
3.051 * [backup-simplify]: Simplify (sqrt 1) into 1
3.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.052 * [backup-simplify]: Simplify (+ 0 0) into 0
3.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.053 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.053 * [taylor]: Taking taylor expansion of x in x
3.053 * [backup-simplify]: Simplify 0 into 0
3.053 * [backup-simplify]: Simplify 1 into 1
3.053 * [backup-simplify]: Simplify (* 1 1) into 1
3.053 * [backup-simplify]: Simplify (/ 1 1) into 1
3.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.053 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.053 * [taylor]: Taking taylor expansion of y in x
3.053 * [backup-simplify]: Simplify y into y
3.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.054 * [backup-simplify]: Simplify (+ 1 0) into 1
3.054 * [backup-simplify]: Simplify (sqrt 1) into 1
3.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (+ 0 0) into 0
3.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.056 * [taylor]: Taking taylor expansion of x in x
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [backup-simplify]: Simplify 1 into 1
3.056 * [backup-simplify]: Simplify (* 1 1) into 1
3.056 * [backup-simplify]: Simplify (/ 1 1) into 1
3.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.056 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.056 * [taylor]: Taking taylor expansion of y in x
3.056 * [backup-simplify]: Simplify y into y
3.056 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.057 * [backup-simplify]: Simplify (+ 1 0) into 1
3.057 * [backup-simplify]: Simplify (sqrt 1) into 1
3.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.058 * [taylor]: Taking taylor expansion of 1 in y
3.058 * [backup-simplify]: Simplify 1 into 1
3.058 * [taylor]: Taking taylor expansion of 0 in y
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 1 into 1
3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.060 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.060 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.060 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.060 * [taylor]: Taking taylor expansion of 1/2 in y
3.061 * [backup-simplify]: Simplify 1/2 into 1/2
3.061 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.061 * [taylor]: Taking taylor expansion of y in y
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify 1 into 1
3.061 * [backup-simplify]: Simplify (* 1 1) into 1
3.061 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.064 * [taylor]: Taking taylor expansion of 0 in y
3.064 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.066 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.066 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2)))
3.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
3.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
3.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.066 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.066 * [taylor]: Taking taylor expansion of x in y
3.066 * [backup-simplify]: Simplify x into x
3.066 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.066 * [taylor]: Taking taylor expansion of y in y
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 1 into 1
3.066 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.066 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.066 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.066 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.067 * [backup-simplify]: Simplify (+ 0 0) into 0
3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.067 * [taylor]: Taking taylor expansion of x in x
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.067 * [taylor]: Taking taylor expansion of y in x
3.067 * [backup-simplify]: Simplify y into y
3.067 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.067 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.067 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.067 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.067 * [backup-simplify]: Simplify (+ 0 0) into 0
3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.068 * [taylor]: Taking taylor expansion of x in x
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.068 * [taylor]: Taking taylor expansion of y in x
3.068 * [backup-simplify]: Simplify y into y
3.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.068 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.068 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.068 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.068 * [backup-simplify]: Simplify (+ 0 0) into 0
3.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.068 * [taylor]: Taking taylor expansion of y in y
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [taylor]: Taking taylor expansion of 0 in y
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.069 * [backup-simplify]: Simplify (* 1 1) into 1
3.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.069 * [backup-simplify]: Simplify (+ 1 0) into 1
3.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.070 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.070 * [taylor]: Taking taylor expansion of 1/2 in y
3.070 * [backup-simplify]: Simplify 1/2 into 1/2
3.070 * [taylor]: Taking taylor expansion of y in y
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.072 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.072 * [backup-simplify]: Simplify (+ 0 0) into 0
3.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
3.072 * [taylor]: Taking taylor expansion of 0 in y
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
3.073 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.073 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.073 * [taylor]: Taking taylor expansion of x in y
3.073 * [backup-simplify]: Simplify x into x
3.073 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.073 * [taylor]: Taking taylor expansion of y in y
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.074 * [backup-simplify]: Simplify (* 1 1) into 1
3.074 * [backup-simplify]: Simplify (/ 1 1) into 1
3.074 * [backup-simplify]: Simplify (+ 0 1) into 1
3.074 * [backup-simplify]: Simplify (sqrt 1) into 1
3.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.075 * [backup-simplify]: Simplify (+ 0 0) into 0
3.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.076 * [taylor]: Taking taylor expansion of x in x
3.076 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [backup-simplify]: Simplify (* 1 1) into 1
3.076 * [backup-simplify]: Simplify (/ 1 1) into 1
3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.077 * [taylor]: Taking taylor expansion of y in x
3.077 * [backup-simplify]: Simplify y into y
3.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.077 * [backup-simplify]: Simplify (+ 1 0) into 1
3.077 * [backup-simplify]: Simplify (sqrt 1) into 1
3.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.078 * [backup-simplify]: Simplify (+ 0 0) into 0
3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.079 * [taylor]: Taking taylor expansion of x in x
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (* 1 1) into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.079 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.079 * [taylor]: Taking taylor expansion of y in x
3.079 * [backup-simplify]: Simplify y into y
3.079 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.080 * [backup-simplify]: Simplify (+ 1 0) into 1
3.080 * [backup-simplify]: Simplify (sqrt 1) into 1
3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (+ 0 0) into 0
3.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.082 * [taylor]: Taking taylor expansion of 1 in y
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [taylor]: Taking taylor expansion of 0 in y
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.084 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.084 * [taylor]: Taking taylor expansion of 1/2 in y
3.084 * [backup-simplify]: Simplify 1/2 into 1/2
3.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.084 * [taylor]: Taking taylor expansion of y in y
3.084 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify 1 into 1
3.084 * [backup-simplify]: Simplify (* 1 1) into 1
3.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.087 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.088 * [taylor]: Taking taylor expansion of 0 in y
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.089 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.090 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.090 * [taylor]: Taking taylor expansion of x in y
3.090 * [backup-simplify]: Simplify x into x
3.090 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.090 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.090 * [taylor]: Taking taylor expansion of y in y
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.090 * [backup-simplify]: Simplify (* 1 1) into 1
3.090 * [backup-simplify]: Simplify (/ 1 1) into 1
3.091 * [backup-simplify]: Simplify (+ 0 1) into 1
3.091 * [backup-simplify]: Simplify (sqrt 1) into 1
3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.096 * [taylor]: Taking taylor expansion of x in x
3.096 * [backup-simplify]: Simplify 0 into 0
3.096 * [backup-simplify]: Simplify 1 into 1
3.096 * [backup-simplify]: Simplify (* 1 1) into 1
3.096 * [backup-simplify]: Simplify (/ 1 1) into 1
3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.096 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.096 * [taylor]: Taking taylor expansion of y in x
3.096 * [backup-simplify]: Simplify y into y
3.096 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.097 * [backup-simplify]: Simplify (+ 1 0) into 1
3.097 * [backup-simplify]: Simplify (sqrt 1) into 1
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (+ 0 0) into 0
3.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.100 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.100 * [taylor]: Taking taylor expansion of x in x
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify 1 into 1
3.100 * [backup-simplify]: Simplify (* 1 1) into 1
3.100 * [backup-simplify]: Simplify (/ 1 1) into 1
3.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.100 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.100 * [taylor]: Taking taylor expansion of y in x
3.100 * [backup-simplify]: Simplify y into y
3.101 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.101 * [backup-simplify]: Simplify (+ 1 0) into 1
3.101 * [backup-simplify]: Simplify (sqrt 1) into 1
3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.103 * [backup-simplify]: Simplify (+ 0 0) into 0
3.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.104 * [taylor]: Taking taylor expansion of 1 in y
3.104 * [backup-simplify]: Simplify 1 into 1
3.104 * [taylor]: Taking taylor expansion of 0 in y
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.107 * [taylor]: Taking taylor expansion of 1/2 in y
3.107 * [backup-simplify]: Simplify 1/2 into 1/2
3.107 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.107 * [taylor]: Taking taylor expansion of y in y
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 1 into 1
3.107 * [backup-simplify]: Simplify (* 1 1) into 1
3.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.112 * [taylor]: Taking taylor expansion of 0 in y
3.112 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.114 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
3.114 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
3.114 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
3.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.114 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.114 * [taylor]: Taking taylor expansion of x in y
3.114 * [backup-simplify]: Simplify x into x
3.114 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.114 * [taylor]: Taking taylor expansion of y in y
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 1 into 1
3.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.115 * [taylor]: Taking taylor expansion of x in x
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.115 * [taylor]: Taking taylor expansion of y in x
3.115 * [backup-simplify]: Simplify y into y
3.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.115 * [taylor]: Taking taylor expansion of x in x
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.115 * [taylor]: Taking taylor expansion of y in x
3.115 * [backup-simplify]: Simplify y into y
3.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.115 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.115 * [taylor]: Taking taylor expansion of y in y
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.116 * [backup-simplify]: Simplify (+ 0 0) into 0
3.116 * [taylor]: Taking taylor expansion of 0 in y
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify (* 1 1) into 1
3.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.117 * [backup-simplify]: Simplify (+ 1 0) into 1
3.117 * [taylor]: Taking taylor expansion of 1 in y
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify (* 1 1) into 1
3.117 * [backup-simplify]: Simplify 1 into 1
3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.119 * [backup-simplify]: Simplify (+ 0 0) into 0
3.119 * [taylor]: Taking taylor expansion of 0 in y
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.121 * [backup-simplify]: Simplify (+ 0 0) into 0
3.121 * [taylor]: Taking taylor expansion of 0 in y
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
3.121 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.122 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.122 * [taylor]: Taking taylor expansion of x in y
3.122 * [backup-simplify]: Simplify x into x
3.122 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.122 * [taylor]: Taking taylor expansion of y in y
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.122 * [backup-simplify]: Simplify (* 1 1) into 1
3.122 * [backup-simplify]: Simplify (/ 1 1) into 1
3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.122 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.122 * [taylor]: Taking taylor expansion of x in x
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.123 * [backup-simplify]: Simplify (* 1 1) into 1
3.123 * [backup-simplify]: Simplify (/ 1 1) into 1
3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.123 * [taylor]: Taking taylor expansion of y in x
3.123 * [backup-simplify]: Simplify y into y
3.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.123 * [taylor]: Taking taylor expansion of x in x
3.123 * [backup-simplify]: Simplify 0 into 0
3.123 * [backup-simplify]: Simplify 1 into 1
3.123 * [backup-simplify]: Simplify (* 1 1) into 1
3.124 * [backup-simplify]: Simplify (/ 1 1) into 1
3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.124 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.124 * [taylor]: Taking taylor expansion of y in x
3.124 * [backup-simplify]: Simplify y into y
3.124 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.124 * [backup-simplify]: Simplify (+ 1 0) into 1
3.124 * [taylor]: Taking taylor expansion of 1 in y
3.124 * [backup-simplify]: Simplify 1 into 1
3.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.125 * [taylor]: Taking taylor expansion of 0 in y
3.125 * [backup-simplify]: Simplify 0 into 0
3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.126 * [taylor]: Taking taylor expansion of y in y
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [backup-simplify]: Simplify (* 1 1) into 1
3.127 * [backup-simplify]: Simplify (/ 1 1) into 1
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.129 * [backup-simplify]: Simplify (+ 0 0) into 0
3.129 * [taylor]: Taking taylor expansion of 0 in y
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.132 * [backup-simplify]: Simplify (+ 0 0) into 0
3.132 * [taylor]: Taking taylor expansion of 0 in y
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
3.133 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.133 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
3.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.133 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.133 * [taylor]: Taking taylor expansion of x in y
3.133 * [backup-simplify]: Simplify x into x
3.133 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.133 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.133 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.133 * [taylor]: Taking taylor expansion of y in y
3.133 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify 1 into 1
3.134 * [backup-simplify]: Simplify (* 1 1) into 1
3.134 * [backup-simplify]: Simplify (/ 1 1) into 1
3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.134 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.134 * [taylor]: Taking taylor expansion of x in x
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify 1 into 1
3.134 * [backup-simplify]: Simplify (* 1 1) into 1
3.135 * [backup-simplify]: Simplify (/ 1 1) into 1
3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.135 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.135 * [taylor]: Taking taylor expansion of y in x
3.135 * [backup-simplify]: Simplify y into y
3.135 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.135 * [taylor]: Taking taylor expansion of x in x
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (* 1 1) into 1
3.136 * [backup-simplify]: Simplify (/ 1 1) into 1
3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.136 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.136 * [taylor]: Taking taylor expansion of y in x
3.136 * [backup-simplify]: Simplify y into y
3.136 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.136 * [backup-simplify]: Simplify (+ 1 0) into 1
3.136 * [taylor]: Taking taylor expansion of 1 in y
3.136 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.137 * [backup-simplify]: Simplify (+ 0 0) into 0
3.137 * [taylor]: Taking taylor expansion of 0 in y
3.137 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.138 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.138 * [taylor]: Taking taylor expansion of y in y
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.139 * [backup-simplify]: Simplify (* 1 1) into 1
3.139 * [backup-simplify]: Simplify (/ 1 1) into 1
3.139 * [backup-simplify]: Simplify 1 into 1
3.139 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.141 * [taylor]: Taking taylor expansion of 0 in y
3.141 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.144 * [backup-simplify]: Simplify (+ 0 0) into 0
3.144 * [taylor]: Taking taylor expansion of 0 in y
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
3.145 * * * [progress]: simplifying candidates
3.147 * [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))))
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  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
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  (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)
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  (sqrt 1)
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  (/ 1 2)
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  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
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  (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
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  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 1 1)
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* 2 1/2)
  (* 2 1)
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  (* 2 (/ 1 2))
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  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1))
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  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
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  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
3.150 * * [simplify]: Extracting # 0 : cost  0
3.151 * * [simplify]: Extracting # 1 : cost  0
3.151 * * [simplify]: Extracting # 2 : cost  0
3.151 * * [simplify]: Extracting # 3 : cost  0
3.151 * * [simplify]: Extracting # 4 : cost  0
3.151 * * [simplify]: Extracting # 5 : cost  0
3.151 * * [simplify]: Extracting # 6 : cost  0
3.151 * * [simplify]: iteration  0 :  121  enodes  (cost  2803 )
3.189 * * [simplify]: Extracting # 0 : cost  0
3.189 * * [simplify]: Extracting # 1 : cost  0
3.190 * * [simplify]: Extracting # 2 : cost  0
3.190 * * [simplify]: Extracting # 3 : cost  0
3.190 * * [simplify]: Extracting # 4 : cost  0
3.190 * * [simplify]: iteration  1 :  233  enodes  (cost  1759 )
3.253 * * [simplify]: Extracting # 0 : cost  0
3.254 * * [simplify]: Extracting # 1 : cost  0
3.255 * * [simplify]: Extracting # 2 : cost  0
3.255 * * [simplify]: Extracting # 3 : cost  0
3.256 * * [simplify]: Extracting # 4 : cost  0
3.256 * * [simplify]: iteration  2 :  638  enodes  (cost  1533 )
3.711 * * [simplify]: Extracting # 0 : cost  0
3.715 * * [simplify]: Extracting # 1 : cost  0
3.719 * * [simplify]: Extracting # 2 : cost  0
3.722 * * [simplify]: Extracting # 3 : cost  0
3.725 * * [simplify]: Extracting # 4 : cost  0
3.728 * * [simplify]: iteration  3 :  2187  enodes  (cost  1496 )
5.014 * * [simplify]: Extracting # 0 : cost  0
5.019 * * [simplify]: Extracting # 1 : cost  0
5.029 * * [simplify]: Extracting # 2 : cost  0
5.034 * * [simplify]: Extracting # 3 : cost  0
5.039 * * [simplify]: Extracting # 4 : cost  0
5.045 * * [simplify]: iteration done:  5000  enodes  (cost  1457 )
5.045 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (cbrt (sqrt (+ (* x x) (* y y))))
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  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
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  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
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  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* y y) (* x x))
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (+ (* y y) (* x x))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  2
  (log (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
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  (pow (sqrt (+ (* x x) (* y y))) 3)
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  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
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  (sqrt (+ (pow y 6) (pow x 6)))
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  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))))
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  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
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  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
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  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
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  (sqrt (sqrt (+ (* x x) (* y y))))
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  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 5)
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  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
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  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
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  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (+ (* x x) (* y y)))
  (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))))
  (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))
  (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))))
  (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
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  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* y y) (* x x)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (pow y 2))
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
5.046 * * * [progress]: adding candidates to table
5.370 * * [progress]: iteration 3 / 4
5.370 * * * [progress]: picking best candidate
5.381 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))>
5.382 * * * [progress]: localizing error
5.413 * * * [progress]: generating rewritten candidates
5.414 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
5.427 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
5.441 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1)
5.463 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
5.479 * * * [progress]: generating series expansions
5.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
5.479 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.479 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.479 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.479 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.479 * [taylor]: Taking taylor expansion of x in y
5.479 * [backup-simplify]: Simplify x into x
5.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.479 * [taylor]: Taking taylor expansion of y in y
5.479 * [backup-simplify]: Simplify 0 into 0
5.479 * [backup-simplify]: Simplify 1 into 1
5.479 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.479 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.479 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.479 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.480 * [backup-simplify]: Simplify (+ 0 0) into 0
5.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.480 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.480 * [taylor]: Taking taylor expansion of x in x
5.480 * [backup-simplify]: Simplify 0 into 0
5.480 * [backup-simplify]: Simplify 1 into 1
5.480 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.480 * [taylor]: Taking taylor expansion of y in x
5.480 * [backup-simplify]: Simplify y into y
5.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.480 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.480 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.481 * [backup-simplify]: Simplify (+ 0 0) into 0
5.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.481 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.481 * [taylor]: Taking taylor expansion of x in x
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 1 into 1
5.481 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.481 * [taylor]: Taking taylor expansion of y in x
5.481 * [backup-simplify]: Simplify y into y
5.481 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.481 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.481 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.482 * [backup-simplify]: Simplify (+ 0 0) into 0
5.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.482 * [taylor]: Taking taylor expansion of y in y
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 1 into 1
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [taylor]: Taking taylor expansion of 0 in y
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 1 into 1
5.482 * [backup-simplify]: Simplify (* 1 1) into 1
5.483 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.483 * [backup-simplify]: Simplify (+ 1 0) into 1
5.483 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.483 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.483 * [taylor]: Taking taylor expansion of 1/2 in y
5.483 * [backup-simplify]: Simplify 1/2 into 1/2
5.483 * [taylor]: Taking taylor expansion of y in y
5.483 * [backup-simplify]: Simplify 0 into 0
5.483 * [backup-simplify]: Simplify 1 into 1
5.484 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 0 into 0
5.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.485 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.486 * [backup-simplify]: Simplify (+ 0 0) into 0
5.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.486 * [taylor]: Taking taylor expansion of 0 in y
5.486 * [backup-simplify]: Simplify 0 into 0
5.486 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.487 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.487 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.487 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.487 * [taylor]: Taking taylor expansion of x in y
5.487 * [backup-simplify]: Simplify x into x
5.487 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.487 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.487 * [taylor]: Taking taylor expansion of y in y
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.488 * [backup-simplify]: Simplify (* 1 1) into 1
5.488 * [backup-simplify]: Simplify (/ 1 1) into 1
5.488 * [backup-simplify]: Simplify (+ 0 1) into 1
5.489 * [backup-simplify]: Simplify (sqrt 1) into 1
5.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.490 * [backup-simplify]: Simplify (+ 0 0) into 0
5.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.491 * [taylor]: Taking taylor expansion of x in x
5.491 * [backup-simplify]: Simplify 0 into 0
5.491 * [backup-simplify]: Simplify 1 into 1
5.491 * [backup-simplify]: Simplify (* 1 1) into 1
5.491 * [backup-simplify]: Simplify (/ 1 1) into 1
5.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.491 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.491 * [taylor]: Taking taylor expansion of y in x
5.491 * [backup-simplify]: Simplify y into y
5.491 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.492 * [backup-simplify]: Simplify (+ 1 0) into 1
5.492 * [backup-simplify]: Simplify (sqrt 1) into 1
5.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.494 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.494 * [taylor]: Taking taylor expansion of x in x
5.494 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify 1 into 1
5.494 * [backup-simplify]: Simplify (* 1 1) into 1
5.494 * [backup-simplify]: Simplify (/ 1 1) into 1
5.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.494 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.494 * [taylor]: Taking taylor expansion of y in x
5.494 * [backup-simplify]: Simplify y into y
5.494 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.495 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.495 * [backup-simplify]: Simplify (+ 1 0) into 1
5.495 * [backup-simplify]: Simplify (sqrt 1) into 1
5.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.496 * [backup-simplify]: Simplify (+ 0 0) into 0
5.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.497 * [taylor]: Taking taylor expansion of 1 in y
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [taylor]: Taking taylor expansion of 0 in y
5.497 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.498 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.499 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.500 * [taylor]: Taking taylor expansion of 1/2 in y
5.500 * [backup-simplify]: Simplify 1/2 into 1/2
5.500 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.500 * [taylor]: Taking taylor expansion of y in y
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 1 into 1
5.500 * [backup-simplify]: Simplify (* 1 1) into 1
5.500 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.504 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.505 * [backup-simplify]: Simplify (+ 0 0) into 0
5.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.505 * [taylor]: Taking taylor expansion of 0 in y
5.505 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.508 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.508 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.508 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.508 * [taylor]: Taking taylor expansion of x in y
5.508 * [backup-simplify]: Simplify x into x
5.508 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.508 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.508 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.508 * [taylor]: Taking taylor expansion of y in y
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify 1 into 1
5.509 * [backup-simplify]: Simplify (* 1 1) into 1
5.509 * [backup-simplify]: Simplify (/ 1 1) into 1
5.510 * [backup-simplify]: Simplify (+ 0 1) into 1
5.510 * [backup-simplify]: Simplify (sqrt 1) into 1
5.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.512 * [backup-simplify]: Simplify (+ 0 0) into 0
5.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.512 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.512 * [taylor]: Taking taylor expansion of x in x
5.512 * [backup-simplify]: Simplify 0 into 0
5.512 * [backup-simplify]: Simplify 1 into 1
5.513 * [backup-simplify]: Simplify (* 1 1) into 1
5.513 * [backup-simplify]: Simplify (/ 1 1) into 1
5.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.513 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.513 * [taylor]: Taking taylor expansion of y in x
5.513 * [backup-simplify]: Simplify y into y
5.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.514 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.514 * [backup-simplify]: Simplify (+ 1 0) into 1
5.514 * [backup-simplify]: Simplify (sqrt 1) into 1
5.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.516 * [backup-simplify]: Simplify (+ 0 0) into 0
5.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.517 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.517 * [taylor]: Taking taylor expansion of x in x
5.517 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (* 1 1) into 1
5.517 * [backup-simplify]: Simplify (/ 1 1) into 1
5.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.517 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.518 * [taylor]: Taking taylor expansion of y in x
5.518 * [backup-simplify]: Simplify y into y
5.518 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.518 * [backup-simplify]: Simplify (+ 1 0) into 1
5.519 * [backup-simplify]: Simplify (sqrt 1) into 1
5.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.520 * [backup-simplify]: Simplify (+ 0 0) into 0
5.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.520 * [taylor]: Taking taylor expansion of 1 in y
5.520 * [backup-simplify]: Simplify 1 into 1
5.520 * [taylor]: Taking taylor expansion of 0 in y
5.520 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify 1 into 1
5.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.522 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.522 * [taylor]: Taking taylor expansion of 1/2 in y
5.522 * [backup-simplify]: Simplify 1/2 into 1/2
5.522 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.522 * [taylor]: Taking taylor expansion of y in y
5.522 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify 1 into 1
5.523 * [backup-simplify]: Simplify (* 1 1) into 1
5.523 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.525 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.525 * [backup-simplify]: Simplify (+ 0 0) into 0
5.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.526 * [taylor]: Taking taylor expansion of 0 in y
5.526 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.527 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.527 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
5.528 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.528 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.528 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.528 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.528 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.528 * [taylor]: Taking taylor expansion of x in y
5.528 * [backup-simplify]: Simplify x into x
5.528 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.528 * [taylor]: Taking taylor expansion of y in y
5.528 * [backup-simplify]: Simplify 0 into 0
5.528 * [backup-simplify]: Simplify 1 into 1
5.528 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.528 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.528 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.528 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.529 * [backup-simplify]: Simplify (+ 0 0) into 0
5.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.529 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.529 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.529 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.529 * [taylor]: Taking taylor expansion of x in x
5.529 * [backup-simplify]: Simplify 0 into 0
5.529 * [backup-simplify]: Simplify 1 into 1
5.529 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.529 * [taylor]: Taking taylor expansion of y in x
5.529 * [backup-simplify]: Simplify y into y
5.529 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.529 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.529 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.530 * [backup-simplify]: Simplify (+ 0 0) into 0
5.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.530 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.530 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.530 * [taylor]: Taking taylor expansion of x in x
5.530 * [backup-simplify]: Simplify 0 into 0
5.530 * [backup-simplify]: Simplify 1 into 1
5.530 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.530 * [taylor]: Taking taylor expansion of y in x
5.530 * [backup-simplify]: Simplify y into y
5.530 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.530 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.530 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.530 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.531 * [backup-simplify]: Simplify (+ 0 0) into 0
5.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.531 * [taylor]: Taking taylor expansion of y in y
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 1 into 1
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [taylor]: Taking taylor expansion of 0 in y
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 1 into 1
5.532 * [backup-simplify]: Simplify (* 1 1) into 1
5.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.532 * [backup-simplify]: Simplify (+ 1 0) into 1
5.533 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.533 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.533 * [taylor]: Taking taylor expansion of 1/2 in y
5.533 * [backup-simplify]: Simplify 1/2 into 1/2
5.533 * [taylor]: Taking taylor expansion of y in y
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 1 into 1
5.534 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.536 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.536 * [backup-simplify]: Simplify (+ 0 0) into 0
5.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.536 * [taylor]: Taking taylor expansion of 0 in y
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify 0 into 0
5.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify 0 into 0
5.537 * [backup-simplify]: Simplify 0 into 0
5.537 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.538 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.538 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.538 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.538 * [taylor]: Taking taylor expansion of x in y
5.538 * [backup-simplify]: Simplify x into x
5.538 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.538 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.538 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.538 * [taylor]: Taking taylor expansion of y in y
5.538 * [backup-simplify]: Simplify 0 into 0
5.538 * [backup-simplify]: Simplify 1 into 1
5.539 * [backup-simplify]: Simplify (* 1 1) into 1
5.539 * [backup-simplify]: Simplify (/ 1 1) into 1
5.540 * [backup-simplify]: Simplify (+ 0 1) into 1
5.540 * [backup-simplify]: Simplify (sqrt 1) into 1
5.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.542 * [backup-simplify]: Simplify (+ 0 0) into 0
5.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.543 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.543 * [taylor]: Taking taylor expansion of x in x
5.543 * [backup-simplify]: Simplify 0 into 0
5.543 * [backup-simplify]: Simplify 1 into 1
5.543 * [backup-simplify]: Simplify (* 1 1) into 1
5.544 * [backup-simplify]: Simplify (/ 1 1) into 1
5.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.544 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.544 * [taylor]: Taking taylor expansion of y in x
5.544 * [backup-simplify]: Simplify y into y
5.544 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.544 * [backup-simplify]: Simplify (+ 1 0) into 1
5.545 * [backup-simplify]: Simplify (sqrt 1) into 1
5.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.546 * [backup-simplify]: Simplify (+ 0 0) into 0
5.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.547 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.547 * [taylor]: Taking taylor expansion of x in x
5.547 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify 1 into 1
5.547 * [backup-simplify]: Simplify (* 1 1) into 1
5.548 * [backup-simplify]: Simplify (/ 1 1) into 1
5.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.548 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.548 * [taylor]: Taking taylor expansion of y in x
5.548 * [backup-simplify]: Simplify y into y
5.548 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.548 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.548 * [backup-simplify]: Simplify (+ 1 0) into 1
5.549 * [backup-simplify]: Simplify (sqrt 1) into 1
5.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.550 * [backup-simplify]: Simplify (+ 0 0) into 0
5.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.551 * [taylor]: Taking taylor expansion of 1 in y
5.551 * [backup-simplify]: Simplify 1 into 1
5.551 * [taylor]: Taking taylor expansion of 0 in y
5.551 * [backup-simplify]: Simplify 0 into 0
5.551 * [backup-simplify]: Simplify 1 into 1
5.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.554 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.554 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.554 * [taylor]: Taking taylor expansion of 1/2 in y
5.554 * [backup-simplify]: Simplify 1/2 into 1/2
5.554 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.554 * [taylor]: Taking taylor expansion of y in y
5.554 * [backup-simplify]: Simplify 0 into 0
5.554 * [backup-simplify]: Simplify 1 into 1
5.555 * [backup-simplify]: Simplify (* 1 1) into 1
5.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.556 * [backup-simplify]: Simplify 0 into 0
5.556 * [backup-simplify]: Simplify 0 into 0
5.556 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.558 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.559 * [backup-simplify]: Simplify (+ 0 0) into 0
5.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.559 * [taylor]: Taking taylor expansion of 0 in y
5.559 * [backup-simplify]: Simplify 0 into 0
5.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.561 * [backup-simplify]: Simplify 0 into 0
5.561 * [backup-simplify]: Simplify 0 into 0
5.561 * [backup-simplify]: Simplify 0 into 0
5.561 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.561 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.562 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.562 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.562 * [taylor]: Taking taylor expansion of x in y
5.562 * [backup-simplify]: Simplify x into x
5.562 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.562 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.562 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.562 * [taylor]: Taking taylor expansion of y in y
5.562 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify 1 into 1
5.562 * [backup-simplify]: Simplify (* 1 1) into 1
5.563 * [backup-simplify]: Simplify (/ 1 1) into 1
5.563 * [backup-simplify]: Simplify (+ 0 1) into 1
5.563 * [backup-simplify]: Simplify (sqrt 1) into 1
5.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.565 * [backup-simplify]: Simplify (+ 0 0) into 0
5.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.566 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.566 * [taylor]: Taking taylor expansion of x in x
5.566 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify 1 into 1
5.566 * [backup-simplify]: Simplify (* 1 1) into 1
5.566 * [backup-simplify]: Simplify (/ 1 1) into 1
5.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.566 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.566 * [taylor]: Taking taylor expansion of y in x
5.567 * [backup-simplify]: Simplify y into y
5.567 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.567 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.567 * [backup-simplify]: Simplify (+ 1 0) into 1
5.568 * [backup-simplify]: Simplify (sqrt 1) into 1
5.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.572 * [backup-simplify]: Simplify (+ 0 0) into 0
5.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.573 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.573 * [taylor]: Taking taylor expansion of x in x
5.573 * [backup-simplify]: Simplify 0 into 0
5.573 * [backup-simplify]: Simplify 1 into 1
5.573 * [backup-simplify]: Simplify (* 1 1) into 1
5.573 * [backup-simplify]: Simplify (/ 1 1) into 1
5.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.573 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.573 * [taylor]: Taking taylor expansion of y in x
5.573 * [backup-simplify]: Simplify y into y
5.573 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.574 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.574 * [backup-simplify]: Simplify (+ 1 0) into 1
5.574 * [backup-simplify]: Simplify (sqrt 1) into 1
5.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.575 * [backup-simplify]: Simplify (+ 0 0) into 0
5.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.576 * [taylor]: Taking taylor expansion of 1 in y
5.576 * [backup-simplify]: Simplify 1 into 1
5.576 * [taylor]: Taking taylor expansion of 0 in y
5.576 * [backup-simplify]: Simplify 0 into 0
5.576 * [backup-simplify]: Simplify 1 into 1
5.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.578 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.578 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.578 * [taylor]: Taking taylor expansion of 1/2 in y
5.578 * [backup-simplify]: Simplify 1/2 into 1/2
5.578 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.578 * [taylor]: Taking taylor expansion of y in y
5.578 * [backup-simplify]: Simplify 0 into 0
5.578 * [backup-simplify]: Simplify 1 into 1
5.578 * [backup-simplify]: Simplify (* 1 1) into 1
5.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.579 * [backup-simplify]: Simplify 0 into 0
5.579 * [backup-simplify]: Simplify 0 into 0
5.579 * [backup-simplify]: Simplify 0 into 0
5.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.581 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.581 * [backup-simplify]: Simplify (+ 0 0) into 0
5.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.581 * [taylor]: Taking taylor expansion of 0 in y
5.581 * [backup-simplify]: Simplify 0 into 0
5.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.583 * [backup-simplify]: Simplify 0 into 0
5.583 * [backup-simplify]: Simplify 0 into 0
5.583 * [backup-simplify]: Simplify 0 into 0
5.583 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.583 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1)
5.583 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.583 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.583 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.583 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.583 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.583 * [taylor]: Taking taylor expansion of x in y
5.583 * [backup-simplify]: Simplify x into x
5.583 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.583 * [taylor]: Taking taylor expansion of y in y
5.583 * [backup-simplify]: Simplify 0 into 0
5.583 * [backup-simplify]: Simplify 1 into 1
5.583 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.583 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.583 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.583 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.584 * [backup-simplify]: Simplify (+ 0 0) into 0
5.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.584 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.584 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.584 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.584 * [taylor]: Taking taylor expansion of x in x
5.584 * [backup-simplify]: Simplify 0 into 0
5.584 * [backup-simplify]: Simplify 1 into 1
5.584 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.584 * [taylor]: Taking taylor expansion of y in x
5.584 * [backup-simplify]: Simplify y into y
5.584 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.584 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.584 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.584 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.584 * [backup-simplify]: Simplify (+ 0 0) into 0
5.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.585 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.585 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.585 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.585 * [taylor]: Taking taylor expansion of x in x
5.585 * [backup-simplify]: Simplify 0 into 0
5.585 * [backup-simplify]: Simplify 1 into 1
5.585 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.585 * [taylor]: Taking taylor expansion of y in x
5.585 * [backup-simplify]: Simplify y into y
5.585 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.585 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.585 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.585 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.585 * [backup-simplify]: Simplify (+ 0 0) into 0
5.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.585 * [taylor]: Taking taylor expansion of y in y
5.585 * [backup-simplify]: Simplify 0 into 0
5.585 * [backup-simplify]: Simplify 1 into 1
5.585 * [backup-simplify]: Simplify 0 into 0
5.585 * [taylor]: Taking taylor expansion of 0 in y
5.585 * [backup-simplify]: Simplify 0 into 0
5.586 * [backup-simplify]: Simplify 0 into 0
5.586 * [backup-simplify]: Simplify 1 into 1
5.586 * [backup-simplify]: Simplify (* 1 1) into 1
5.586 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.586 * [backup-simplify]: Simplify (+ 1 0) into 1
5.587 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.587 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.587 * [taylor]: Taking taylor expansion of 1/2 in y
5.587 * [backup-simplify]: Simplify 1/2 into 1/2
5.587 * [taylor]: Taking taylor expansion of y in y
5.587 * [backup-simplify]: Simplify 0 into 0
5.587 * [backup-simplify]: Simplify 1 into 1
5.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.588 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.589 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.589 * [backup-simplify]: Simplify (+ 0 0) into 0
5.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.589 * [taylor]: Taking taylor expansion of 0 in y
5.589 * [backup-simplify]: Simplify 0 into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.590 * [backup-simplify]: Simplify 0 into 0
5.590 * [backup-simplify]: Simplify 0 into 0
5.590 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.590 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.590 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.590 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.590 * [taylor]: Taking taylor expansion of x in y
5.590 * [backup-simplify]: Simplify x into x
5.590 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.590 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.591 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.591 * [taylor]: Taking taylor expansion of y in y
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 1 into 1
5.591 * [backup-simplify]: Simplify (* 1 1) into 1
5.591 * [backup-simplify]: Simplify (/ 1 1) into 1
5.591 * [backup-simplify]: Simplify (+ 0 1) into 1
5.592 * [backup-simplify]: Simplify (sqrt 1) into 1
5.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.593 * [backup-simplify]: Simplify (+ 0 0) into 0
5.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.593 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.593 * [taylor]: Taking taylor expansion of x in x
5.593 * [backup-simplify]: Simplify 0 into 0
5.593 * [backup-simplify]: Simplify 1 into 1
5.593 * [backup-simplify]: Simplify (* 1 1) into 1
5.594 * [backup-simplify]: Simplify (/ 1 1) into 1
5.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.594 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.594 * [taylor]: Taking taylor expansion of y in x
5.594 * [backup-simplify]: Simplify y into y
5.594 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.594 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.594 * [backup-simplify]: Simplify (+ 1 0) into 1
5.594 * [backup-simplify]: Simplify (sqrt 1) into 1
5.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.595 * [backup-simplify]: Simplify (+ 0 0) into 0
5.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.596 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.596 * [taylor]: Taking taylor expansion of x in x
5.596 * [backup-simplify]: Simplify 0 into 0
5.596 * [backup-simplify]: Simplify 1 into 1
5.596 * [backup-simplify]: Simplify (* 1 1) into 1
5.596 * [backup-simplify]: Simplify (/ 1 1) into 1
5.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.597 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.597 * [taylor]: Taking taylor expansion of y in x
5.597 * [backup-simplify]: Simplify y into y
5.597 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.597 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.597 * [backup-simplify]: Simplify (+ 1 0) into 1
5.597 * [backup-simplify]: Simplify (sqrt 1) into 1
5.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.598 * [backup-simplify]: Simplify (+ 0 0) into 0
5.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.599 * [taylor]: Taking taylor expansion of 1 in y
5.599 * [backup-simplify]: Simplify 1 into 1
5.599 * [taylor]: Taking taylor expansion of 0 in y
5.599 * [backup-simplify]: Simplify 0 into 0
5.599 * [backup-simplify]: Simplify 1 into 1
5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.600 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.601 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.601 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.601 * [taylor]: Taking taylor expansion of 1/2 in y
5.601 * [backup-simplify]: Simplify 1/2 into 1/2
5.601 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.601 * [taylor]: Taking taylor expansion of y in y
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 1 into 1
5.601 * [backup-simplify]: Simplify (* 1 1) into 1
5.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.604 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.604 * [backup-simplify]: Simplify (+ 0 0) into 0
5.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.604 * [taylor]: Taking taylor expansion of 0 in y
5.604 * [backup-simplify]: Simplify 0 into 0
5.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.606 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.606 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.606 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.606 * [taylor]: Taking taylor expansion of x in y
5.606 * [backup-simplify]: Simplify x into x
5.606 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.606 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.606 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.606 * [taylor]: Taking taylor expansion of y in y
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 1 into 1
5.607 * [backup-simplify]: Simplify (* 1 1) into 1
5.607 * [backup-simplify]: Simplify (/ 1 1) into 1
5.607 * [backup-simplify]: Simplify (+ 0 1) into 1
5.607 * [backup-simplify]: Simplify (sqrt 1) into 1
5.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.608 * [backup-simplify]: Simplify (+ 0 0) into 0
5.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.609 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.609 * [taylor]: Taking taylor expansion of x in x
5.609 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify 1 into 1
5.609 * [backup-simplify]: Simplify (* 1 1) into 1
5.609 * [backup-simplify]: Simplify (/ 1 1) into 1
5.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.609 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.609 * [taylor]: Taking taylor expansion of y in x
5.609 * [backup-simplify]: Simplify y into y
5.609 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.610 * [backup-simplify]: Simplify (+ 1 0) into 1
5.610 * [backup-simplify]: Simplify (sqrt 1) into 1
5.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.611 * [backup-simplify]: Simplify (+ 0 0) into 0
5.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.612 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.612 * [taylor]: Taking taylor expansion of x in x
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [backup-simplify]: Simplify (* 1 1) into 1
5.612 * [backup-simplify]: Simplify (/ 1 1) into 1
5.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.612 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.612 * [taylor]: Taking taylor expansion of y in x
5.612 * [backup-simplify]: Simplify y into y
5.612 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.612 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.613 * [backup-simplify]: Simplify (+ 1 0) into 1
5.613 * [backup-simplify]: Simplify (sqrt 1) into 1
5.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.614 * [backup-simplify]: Simplify (+ 0 0) into 0
5.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.614 * [taylor]: Taking taylor expansion of 1 in y
5.615 * [backup-simplify]: Simplify 1 into 1
5.615 * [taylor]: Taking taylor expansion of 0 in y
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 1 into 1
5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.616 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.617 * [taylor]: Taking taylor expansion of 1/2 in y
5.617 * [backup-simplify]: Simplify 1/2 into 1/2
5.617 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.617 * [taylor]: Taking taylor expansion of y in y
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 1 into 1
5.617 * [backup-simplify]: Simplify (* 1 1) into 1
5.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.620 * [backup-simplify]: Simplify (+ 0 0) into 0
5.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.620 * [taylor]: Taking taylor expansion of 0 in y
5.620 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.621 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
5.622 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
5.622 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
5.622 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
5.622 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.622 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.622 * [taylor]: Taking taylor expansion of x in y
5.622 * [backup-simplify]: Simplify x into x
5.622 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.622 * [taylor]: Taking taylor expansion of y in y
5.622 * [backup-simplify]: Simplify 0 into 0
5.622 * [backup-simplify]: Simplify 1 into 1
5.622 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.622 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.622 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.622 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.622 * [backup-simplify]: Simplify (+ 0 0) into 0
5.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.622 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.622 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.622 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.623 * [taylor]: Taking taylor expansion of x in x
5.623 * [backup-simplify]: Simplify 0 into 0
5.623 * [backup-simplify]: Simplify 1 into 1
5.623 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.623 * [taylor]: Taking taylor expansion of y in x
5.623 * [backup-simplify]: Simplify y into y
5.623 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.623 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.623 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.623 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.623 * [backup-simplify]: Simplify (+ 0 0) into 0
5.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.623 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
5.623 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.623 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.623 * [taylor]: Taking taylor expansion of x in x
5.623 * [backup-simplify]: Simplify 0 into 0
5.623 * [backup-simplify]: Simplify 1 into 1
5.623 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.623 * [taylor]: Taking taylor expansion of y in x
5.623 * [backup-simplify]: Simplify y into y
5.623 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.624 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.624 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.624 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.624 * [backup-simplify]: Simplify (+ 0 0) into 0
5.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.624 * [taylor]: Taking taylor expansion of y in y
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 1 into 1
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [taylor]: Taking taylor expansion of 0 in y
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 1 into 1
5.624 * [backup-simplify]: Simplify (* 1 1) into 1
5.625 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.625 * [backup-simplify]: Simplify (+ 1 0) into 1
5.625 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.625 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.626 * [taylor]: Taking taylor expansion of 1/2 in y
5.626 * [backup-simplify]: Simplify 1/2 into 1/2
5.626 * [taylor]: Taking taylor expansion of y in y
5.626 * [backup-simplify]: Simplify 0 into 0
5.626 * [backup-simplify]: Simplify 1 into 1
5.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.626 * [backup-simplify]: Simplify 0 into 0
5.626 * [backup-simplify]: Simplify 0 into 0
5.626 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.627 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.628 * [backup-simplify]: Simplify (+ 0 0) into 0
5.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.628 * [taylor]: Taking taylor expansion of 0 in y
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.629 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.629 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.629 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.629 * [taylor]: Taking taylor expansion of x in y
5.629 * [backup-simplify]: Simplify x into x
5.629 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.629 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.629 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.629 * [taylor]: Taking taylor expansion of y in y
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 1 into 1
5.629 * [backup-simplify]: Simplify (* 1 1) into 1
5.629 * [backup-simplify]: Simplify (/ 1 1) into 1
5.630 * [backup-simplify]: Simplify (+ 0 1) into 1
5.630 * [backup-simplify]: Simplify (sqrt 1) into 1
5.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.631 * [backup-simplify]: Simplify (+ 0 0) into 0
5.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.632 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.632 * [taylor]: Taking taylor expansion of x in x
5.632 * [backup-simplify]: Simplify 0 into 0
5.632 * [backup-simplify]: Simplify 1 into 1
5.632 * [backup-simplify]: Simplify (* 1 1) into 1
5.632 * [backup-simplify]: Simplify (/ 1 1) into 1
5.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.632 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.632 * [taylor]: Taking taylor expansion of y in x
5.632 * [backup-simplify]: Simplify y into y
5.632 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.632 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.633 * [backup-simplify]: Simplify (+ 1 0) into 1
5.633 * [backup-simplify]: Simplify (sqrt 1) into 1
5.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.634 * [backup-simplify]: Simplify (+ 0 0) into 0
5.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.635 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.635 * [taylor]: Taking taylor expansion of x in x
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify 1 into 1
5.635 * [backup-simplify]: Simplify (* 1 1) into 1
5.636 * [backup-simplify]: Simplify (/ 1 1) into 1
5.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.636 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.636 * [taylor]: Taking taylor expansion of y in x
5.636 * [backup-simplify]: Simplify y into y
5.636 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.636 * [backup-simplify]: Simplify (+ 1 0) into 1
5.636 * [backup-simplify]: Simplify (sqrt 1) into 1
5.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.637 * [backup-simplify]: Simplify (+ 0 0) into 0
5.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.638 * [taylor]: Taking taylor expansion of 1 in y
5.638 * [backup-simplify]: Simplify 1 into 1
5.638 * [taylor]: Taking taylor expansion of 0 in y
5.638 * [backup-simplify]: Simplify 0 into 0
5.638 * [backup-simplify]: Simplify 1 into 1
5.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.639 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.640 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.640 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.640 * [taylor]: Taking taylor expansion of 1/2 in y
5.640 * [backup-simplify]: Simplify 1/2 into 1/2
5.640 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.640 * [taylor]: Taking taylor expansion of y in y
5.640 * [backup-simplify]: Simplify 0 into 0
5.640 * [backup-simplify]: Simplify 1 into 1
5.641 * [backup-simplify]: Simplify (* 1 1) into 1
5.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.642 * [backup-simplify]: Simplify 0 into 0
5.642 * [backup-simplify]: Simplify 0 into 0
5.642 * [backup-simplify]: Simplify 0 into 0
5.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.643 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.644 * [backup-simplify]: Simplify (+ 0 0) into 0
5.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.644 * [taylor]: Taking taylor expansion of 0 in y
5.644 * [backup-simplify]: Simplify 0 into 0
5.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.645 * [backup-simplify]: Simplify 0 into 0
5.645 * [backup-simplify]: Simplify 0 into 0
5.645 * [backup-simplify]: Simplify 0 into 0
5.645 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.645 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.645 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.646 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.646 * [taylor]: Taking taylor expansion of x in y
5.646 * [backup-simplify]: Simplify x into x
5.646 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.646 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.646 * [taylor]: Taking taylor expansion of y in y
5.646 * [backup-simplify]: Simplify 0 into 0
5.646 * [backup-simplify]: Simplify 1 into 1
5.646 * [backup-simplify]: Simplify (* 1 1) into 1
5.646 * [backup-simplify]: Simplify (/ 1 1) into 1
5.647 * [backup-simplify]: Simplify (+ 0 1) into 1
5.647 * [backup-simplify]: Simplify (sqrt 1) into 1
5.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.648 * [backup-simplify]: Simplify (+ 0 0) into 0
5.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.648 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.648 * [taylor]: Taking taylor expansion of x in x
5.648 * [backup-simplify]: Simplify 0 into 0
5.648 * [backup-simplify]: Simplify 1 into 1
5.649 * [backup-simplify]: Simplify (* 1 1) into 1
5.649 * [backup-simplify]: Simplify (/ 1 1) into 1
5.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.649 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.649 * [taylor]: Taking taylor expansion of y in x
5.649 * [backup-simplify]: Simplify y into y
5.649 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.649 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.649 * [backup-simplify]: Simplify (+ 1 0) into 1
5.650 * [backup-simplify]: Simplify (sqrt 1) into 1
5.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.651 * [backup-simplify]: Simplify (+ 0 0) into 0
5.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.651 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.651 * [taylor]: Taking taylor expansion of x in x
5.651 * [backup-simplify]: Simplify 0 into 0
5.651 * [backup-simplify]: Simplify 1 into 1
5.652 * [backup-simplify]: Simplify (* 1 1) into 1
5.652 * [backup-simplify]: Simplify (/ 1 1) into 1
5.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.652 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.652 * [taylor]: Taking taylor expansion of y in x
5.652 * [backup-simplify]: Simplify y into y
5.652 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.652 * [backup-simplify]: Simplify (+ 1 0) into 1
5.653 * [backup-simplify]: Simplify (sqrt 1) into 1
5.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.654 * [backup-simplify]: Simplify (+ 0 0) into 0
5.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.654 * [taylor]: Taking taylor expansion of 1 in y
5.654 * [backup-simplify]: Simplify 1 into 1
5.654 * [taylor]: Taking taylor expansion of 0 in y
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify 1 into 1
5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.655 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.656 * [taylor]: Taking taylor expansion of 1/2 in y
5.656 * [backup-simplify]: Simplify 1/2 into 1/2
5.656 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.656 * [taylor]: Taking taylor expansion of y in y
5.656 * [backup-simplify]: Simplify 0 into 0
5.656 * [backup-simplify]: Simplify 1 into 1
5.657 * [backup-simplify]: Simplify (* 1 1) into 1
5.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.659 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.660 * [backup-simplify]: Simplify (+ 0 0) into 0
5.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.660 * [taylor]: Taking taylor expansion of 0 in y
5.661 * [backup-simplify]: Simplify 0 into 0
5.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.662 * [backup-simplify]: Simplify 0 into 0
5.662 * [backup-simplify]: Simplify 0 into 0
5.662 * [backup-simplify]: Simplify 0 into 0
5.662 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.662 * * * [progress]: simplifying candidates
5.664 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
5.665 * * [simplify]: Extracting # 0 : cost  0
5.666 * * [simplify]: Extracting # 1 : cost  0
5.666 * * [simplify]: Extracting # 2 : cost  0
5.666 * * [simplify]: Extracting # 3 : cost  0
5.666 * * [simplify]: Extracting # 4 : cost  0
5.666 * * [simplify]: Extracting # 5 : cost  0
5.666 * * [simplify]: Extracting # 6 : cost  0
5.666 * * [simplify]: iteration  0 :  38  enodes  (cost  852 )
5.683 * * [simplify]: Extracting # 0 : cost  0
5.683 * * [simplify]: Extracting # 1 : cost  0
5.684 * * [simplify]: Extracting # 2 : cost  0
5.684 * * [simplify]: Extracting # 3 : cost  0
5.684 * * [simplify]: Extracting # 4 : cost  0
5.684 * * [simplify]: iteration  1 :  91  enodes  (cost  744 )
5.718 * * [simplify]: Extracting # 0 : cost  0
5.718 * * [simplify]: Extracting # 1 : cost  0
5.718 * * [simplify]: Extracting # 2 : cost  0
5.719 * * [simplify]: Extracting # 3 : cost  0
5.719 * * [simplify]: Extracting # 4 : cost  0
5.719 * * [simplify]: iteration  2 :  205  enodes  (cost  680 )
5.816 * * [simplify]: Extracting # 0 : cost  0
5.817 * * [simplify]: Extracting # 1 : cost  0
5.818 * * [simplify]: Extracting # 2 : cost  0
5.818 * * [simplify]: Extracting # 3 : cost  0
5.819 * * [simplify]: Extracting # 4 : cost  0
5.819 * * [simplify]: iteration  3 :  444  enodes  (cost  656 )
6.039 * * [simplify]: Extracting # 0 : cost  0
6.041 * * [simplify]: Extracting # 1 : cost  0
6.043 * * [simplify]: Extracting # 2 : cost  0
6.044 * * [simplify]: Extracting # 3 : cost  0
6.045 * * [simplify]: iteration  4 :  1114  enodes  (cost  656 )
6.974 * * [simplify]: Extracting # 0 : cost  0
6.977 * * [simplify]: Extracting # 1 : cost  0
6.980 * * [simplify]: Extracting # 2 : cost  0
6.982 * * [simplify]: Extracting # 3 : cost  0
6.984 * * [simplify]: Extracting # 4 : cost  0
6.987 * * [simplify]: iteration  5 :  3182  enodes  (cost  656 )
8.526 * * [simplify]: Extracting # 0 : cost  0
8.534 * * [simplify]: Extracting # 1 : cost  0
8.539 * * [simplify]: Extracting # 2 : cost  0
8.544 * * [simplify]: Extracting # 3 : cost  0
8.548 * * [simplify]: Extracting # 4 : cost  0
8.557 * * [simplify]: iteration done:  5001  enodes  (cost  656 )
8.557 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
8.558 * * * [progress]: adding candidates to table
8.929 * * [progress]: iteration 4 / 4
8.929 * * * [progress]: picking best candidate
8.938 * * * * [pick]: Picked  #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>
8.938 * * * [progress]: localizing error
8.955 * * * [progress]: generating rewritten candidates
8.955 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
8.968 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
8.984 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1)
8.999 * * * [progress]: generating series expansions
8.999 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
9.000 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
9.000 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
9.000 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
9.000 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.000 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.000 * [taylor]: Taking taylor expansion of x in y
9.000 * [backup-simplify]: Simplify x into x
9.000 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.000 * [taylor]: Taking taylor expansion of y in y
9.000 * [backup-simplify]: Simplify 0 into 0
9.000 * [backup-simplify]: Simplify 1 into 1
9.000 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.000 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.000 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.000 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.001 * [backup-simplify]: Simplify (+ 0 0) into 0
9.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.001 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.001 * [taylor]: Taking taylor expansion of x in x
9.001 * [backup-simplify]: Simplify 0 into 0
9.001 * [backup-simplify]: Simplify 1 into 1
9.001 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.001 * [taylor]: Taking taylor expansion of y in x
9.001 * [backup-simplify]: Simplify y into y
9.001 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.001 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.002 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.002 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.002 * [backup-simplify]: Simplify (+ 0 0) into 0
9.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.002 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.002 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.002 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.002 * [taylor]: Taking taylor expansion of x in x
9.002 * [backup-simplify]: Simplify 0 into 0
9.002 * [backup-simplify]: Simplify 1 into 1
9.002 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.002 * [taylor]: Taking taylor expansion of y in x
9.002 * [backup-simplify]: Simplify y into y
9.002 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.003 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.003 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.003 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.003 * [backup-simplify]: Simplify (+ 0 0) into 0
9.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.003 * [taylor]: Taking taylor expansion of y in y
9.003 * [backup-simplify]: Simplify 0 into 0
9.003 * [backup-simplify]: Simplify 1 into 1
9.003 * [backup-simplify]: Simplify 0 into 0
9.003 * [taylor]: Taking taylor expansion of 0 in y
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [backup-simplify]: Simplify 1 into 1
9.004 * [backup-simplify]: Simplify (* 1 1) into 1
9.004 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.005 * [backup-simplify]: Simplify (+ 1 0) into 1
9.007 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
9.007 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
9.007 * [taylor]: Taking taylor expansion of 1/2 in y
9.007 * [backup-simplify]: Simplify 1/2 into 1/2
9.007 * [taylor]: Taking taylor expansion of y in y
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [backup-simplify]: Simplify 1 into 1
9.007 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.008 * [backup-simplify]: Simplify 0 into 0
9.008 * [backup-simplify]: Simplify 0 into 0
9.008 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.010 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.010 * [backup-simplify]: Simplify (+ 0 0) into 0
9.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
9.010 * [taylor]: Taking taylor expansion of 0 in y
9.010 * [backup-simplify]: Simplify 0 into 0
9.010 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.011 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
9.011 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.011 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.011 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.012 * [taylor]: Taking taylor expansion of x in y
9.012 * [backup-simplify]: Simplify x into x
9.012 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.012 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.012 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.012 * [taylor]: Taking taylor expansion of y in y
9.012 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify 1 into 1
9.012 * [backup-simplify]: Simplify (* 1 1) into 1
9.013 * [backup-simplify]: Simplify (/ 1 1) into 1
9.013 * [backup-simplify]: Simplify (+ 0 1) into 1
9.013 * [backup-simplify]: Simplify (sqrt 1) into 1
9.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.015 * [backup-simplify]: Simplify (+ 0 0) into 0
9.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.015 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.015 * [taylor]: Taking taylor expansion of x in x
9.015 * [backup-simplify]: Simplify 0 into 0
9.015 * [backup-simplify]: Simplify 1 into 1
9.016 * [backup-simplify]: Simplify (* 1 1) into 1
9.016 * [backup-simplify]: Simplify (/ 1 1) into 1
9.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.016 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.016 * [taylor]: Taking taylor expansion of y in x
9.016 * [backup-simplify]: Simplify y into y
9.016 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.016 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.017 * [backup-simplify]: Simplify (+ 1 0) into 1
9.017 * [backup-simplify]: Simplify (sqrt 1) into 1
9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.019 * [backup-simplify]: Simplify (+ 0 0) into 0
9.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.019 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.019 * [taylor]: Taking taylor expansion of x in x
9.019 * [backup-simplify]: Simplify 0 into 0
9.019 * [backup-simplify]: Simplify 1 into 1
9.020 * [backup-simplify]: Simplify (* 1 1) into 1
9.020 * [backup-simplify]: Simplify (/ 1 1) into 1
9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.020 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.020 * [taylor]: Taking taylor expansion of y in x
9.020 * [backup-simplify]: Simplify y into y
9.020 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.020 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.021 * [backup-simplify]: Simplify (+ 1 0) into 1
9.021 * [backup-simplify]: Simplify (sqrt 1) into 1
9.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.022 * [backup-simplify]: Simplify (+ 0 0) into 0
9.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.023 * [taylor]: Taking taylor expansion of 1 in y
9.023 * [backup-simplify]: Simplify 1 into 1
9.023 * [taylor]: Taking taylor expansion of 0 in y
9.023 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify 1 into 1
9.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.025 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.026 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.026 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.026 * [taylor]: Taking taylor expansion of 1/2 in y
9.026 * [backup-simplify]: Simplify 1/2 into 1/2
9.026 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.026 * [taylor]: Taking taylor expansion of y in y
9.026 * [backup-simplify]: Simplify 0 into 0
9.026 * [backup-simplify]: Simplify 1 into 1
9.026 * [backup-simplify]: Simplify (* 1 1) into 1
9.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.028 * [backup-simplify]: Simplify 0 into 0
9.028 * [backup-simplify]: Simplify 0 into 0
9.028 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.030 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.030 * [backup-simplify]: Simplify (+ 0 0) into 0
9.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.031 * [taylor]: Taking taylor expansion of 0 in y
9.031 * [backup-simplify]: Simplify 0 into 0
9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.032 * [backup-simplify]: Simplify 0 into 0
9.032 * [backup-simplify]: Simplify 0 into 0
9.032 * [backup-simplify]: Simplify 0 into 0
9.032 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.033 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.033 * [taylor]: Taking taylor expansion of x in y
9.033 * [backup-simplify]: Simplify x into x
9.033 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.033 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.033 * [taylor]: Taking taylor expansion of y in y
9.033 * [backup-simplify]: Simplify 0 into 0
9.033 * [backup-simplify]: Simplify 1 into 1
9.034 * [backup-simplify]: Simplify (* 1 1) into 1
9.034 * [backup-simplify]: Simplify (/ 1 1) into 1
9.034 * [backup-simplify]: Simplify (+ 0 1) into 1
9.035 * [backup-simplify]: Simplify (sqrt 1) into 1
9.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.036 * [backup-simplify]: Simplify (+ 0 0) into 0
9.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.037 * [taylor]: Taking taylor expansion of x in x
9.037 * [backup-simplify]: Simplify 0 into 0
9.037 * [backup-simplify]: Simplify 1 into 1
9.037 * [backup-simplify]: Simplify (* 1 1) into 1
9.037 * [backup-simplify]: Simplify (/ 1 1) into 1
9.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.037 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.037 * [taylor]: Taking taylor expansion of y in x
9.038 * [backup-simplify]: Simplify y into y
9.038 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.038 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.038 * [backup-simplify]: Simplify (+ 1 0) into 1
9.038 * [backup-simplify]: Simplify (sqrt 1) into 1
9.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.040 * [backup-simplify]: Simplify (+ 0 0) into 0
9.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.041 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.041 * [taylor]: Taking taylor expansion of x in x
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify 1 into 1
9.041 * [backup-simplify]: Simplify (* 1 1) into 1
9.041 * [backup-simplify]: Simplify (/ 1 1) into 1
9.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.041 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.041 * [taylor]: Taking taylor expansion of y in x
9.041 * [backup-simplify]: Simplify y into y
9.041 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.042 * [backup-simplify]: Simplify (+ 1 0) into 1
9.042 * [backup-simplify]: Simplify (sqrt 1) into 1
9.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.044 * [backup-simplify]: Simplify (+ 0 0) into 0
9.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.044 * [taylor]: Taking taylor expansion of 1 in y
9.044 * [backup-simplify]: Simplify 1 into 1
9.044 * [taylor]: Taking taylor expansion of 0 in y
9.044 * [backup-simplify]: Simplify 0 into 0
9.044 * [backup-simplify]: Simplify 1 into 1
9.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.046 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.047 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.047 * [taylor]: Taking taylor expansion of 1/2 in y
9.047 * [backup-simplify]: Simplify 1/2 into 1/2
9.047 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.047 * [taylor]: Taking taylor expansion of y in y
9.047 * [backup-simplify]: Simplify 0 into 0
9.047 * [backup-simplify]: Simplify 1 into 1
9.048 * [backup-simplify]: Simplify (* 1 1) into 1
9.048 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.055 * [backup-simplify]: Simplify 0 into 0
9.055 * [backup-simplify]: Simplify 0 into 0
9.055 * [backup-simplify]: Simplify 0 into 0
9.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.057 * [backup-simplify]: Simplify (+ 0 0) into 0
9.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.058 * [taylor]: Taking taylor expansion of 0 in y
9.058 * [backup-simplify]: Simplify 0 into 0
9.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.060 * [backup-simplify]: Simplify 0 into 0
9.060 * [backup-simplify]: Simplify 0 into 0
9.060 * [backup-simplify]: Simplify 0 into 0
9.060 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.060 * * * * [progress]: [ 2 / 3 ] generating series at (2)
9.060 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2)))
9.060 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
9.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
9.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.060 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.060 * [taylor]: Taking taylor expansion of x in y
9.060 * [backup-simplify]: Simplify x into x
9.060 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.060 * [taylor]: Taking taylor expansion of y in y
9.060 * [backup-simplify]: Simplify 0 into 0
9.060 * [backup-simplify]: Simplify 1 into 1
9.061 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.061 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.061 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.061 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.061 * [backup-simplify]: Simplify (+ 0 0) into 0
9.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.061 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.061 * [taylor]: Taking taylor expansion of x in x
9.061 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify 1 into 1
9.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.062 * [taylor]: Taking taylor expansion of y in x
9.062 * [backup-simplify]: Simplify y into y
9.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.062 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.062 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.062 * [backup-simplify]: Simplify (+ 0 0) into 0
9.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
9.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.063 * [taylor]: Taking taylor expansion of x in x
9.063 * [backup-simplify]: Simplify 0 into 0
9.063 * [backup-simplify]: Simplify 1 into 1
9.063 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.063 * [taylor]: Taking taylor expansion of y in x
9.063 * [backup-simplify]: Simplify y into y
9.063 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.063 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.063 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.063 * [backup-simplify]: Simplify (+ 0 0) into 0
9.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.064 * [taylor]: Taking taylor expansion of y in y
9.064 * [backup-simplify]: Simplify 0 into 0
9.064 * [backup-simplify]: Simplify 1 into 1
9.064 * [backup-simplify]: Simplify 0 into 0
9.064 * [taylor]: Taking taylor expansion of 0 in y
9.064 * [backup-simplify]: Simplify 0 into 0
9.064 * [backup-simplify]: Simplify 0 into 0
9.064 * [backup-simplify]: Simplify 1 into 1
9.064 * [backup-simplify]: Simplify (* 1 1) into 1
9.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.065 * [backup-simplify]: Simplify (+ 1 0) into 1
9.065 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
9.065 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
9.065 * [taylor]: Taking taylor expansion of 1/2 in y
9.066 * [backup-simplify]: Simplify 1/2 into 1/2
9.066 * [taylor]: Taking taylor expansion of y in y
9.066 * [backup-simplify]: Simplify 0 into 0
9.066 * [backup-simplify]: Simplify 1 into 1
9.066 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.067 * [backup-simplify]: Simplify 0 into 0
9.067 * [backup-simplify]: Simplify 0 into 0
9.067 * [backup-simplify]: Simplify 0 into 0
9.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.068 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.068 * [backup-simplify]: Simplify (+ 0 0) into 0
9.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
9.068 * [taylor]: Taking taylor expansion of 0 in y
9.068 * [backup-simplify]: Simplify 0 into 0
9.068 * [backup-simplify]: Simplify 0 into 0
9.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.069 * [backup-simplify]: Simplify 0 into 0
9.069 * [backup-simplify]: Simplify 0 into 0
9.069 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
9.070 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.070 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.070 * [taylor]: Taking taylor expansion of x in y
9.070 * [backup-simplify]: Simplify x into x
9.070 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.070 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.070 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.070 * [taylor]: Taking taylor expansion of y in y
9.070 * [backup-simplify]: Simplify 0 into 0
9.070 * [backup-simplify]: Simplify 1 into 1
9.071 * [backup-simplify]: Simplify (* 1 1) into 1
9.071 * [backup-simplify]: Simplify (/ 1 1) into 1
9.071 * [backup-simplify]: Simplify (+ 0 1) into 1
9.072 * [backup-simplify]: Simplify (sqrt 1) into 1
9.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.073 * [backup-simplify]: Simplify (+ 0 0) into 0
9.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.074 * [taylor]: Taking taylor expansion of x in x
9.074 * [backup-simplify]: Simplify 0 into 0
9.074 * [backup-simplify]: Simplify 1 into 1
9.074 * [backup-simplify]: Simplify (* 1 1) into 1
9.074 * [backup-simplify]: Simplify (/ 1 1) into 1
9.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.074 * [taylor]: Taking taylor expansion of y in x
9.075 * [backup-simplify]: Simplify y into y
9.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.075 * [backup-simplify]: Simplify (+ 1 0) into 1
9.075 * [backup-simplify]: Simplify (sqrt 1) into 1
9.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.077 * [backup-simplify]: Simplify (+ 0 0) into 0
9.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.078 * [taylor]: Taking taylor expansion of x in x
9.078 * [backup-simplify]: Simplify 0 into 0
9.078 * [backup-simplify]: Simplify 1 into 1
9.078 * [backup-simplify]: Simplify (* 1 1) into 1
9.078 * [backup-simplify]: Simplify (/ 1 1) into 1
9.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.078 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.078 * [taylor]: Taking taylor expansion of y in x
9.078 * [backup-simplify]: Simplify y into y
9.078 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.079 * [backup-simplify]: Simplify (+ 1 0) into 1
9.079 * [backup-simplify]: Simplify (sqrt 1) into 1
9.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.081 * [backup-simplify]: Simplify (+ 0 0) into 0
9.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.081 * [taylor]: Taking taylor expansion of 1 in y
9.081 * [backup-simplify]: Simplify 1 into 1
9.081 * [taylor]: Taking taylor expansion of 0 in y
9.081 * [backup-simplify]: Simplify 0 into 0
9.081 * [backup-simplify]: Simplify 1 into 1
9.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.084 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.084 * [taylor]: Taking taylor expansion of 1/2 in y
9.084 * [backup-simplify]: Simplify 1/2 into 1/2
9.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.084 * [taylor]: Taking taylor expansion of y in y
9.084 * [backup-simplify]: Simplify 0 into 0
9.084 * [backup-simplify]: Simplify 1 into 1
9.085 * [backup-simplify]: Simplify (* 1 1) into 1
9.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.086 * [backup-simplify]: Simplify 0 into 0
9.086 * [backup-simplify]: Simplify 0 into 0
9.086 * [backup-simplify]: Simplify 0 into 0
9.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.088 * [backup-simplify]: Simplify (+ 0 0) into 0
9.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.089 * [taylor]: Taking taylor expansion of 0 in y
9.089 * [backup-simplify]: Simplify 0 into 0
9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.091 * [backup-simplify]: Simplify 0 into 0
9.091 * [backup-simplify]: Simplify 0 into 0
9.091 * [backup-simplify]: Simplify 0 into 0
9.091 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.091 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
9.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.091 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.091 * [taylor]: Taking taylor expansion of x in y
9.091 * [backup-simplify]: Simplify x into x
9.091 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.092 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.092 * [taylor]: Taking taylor expansion of y in y
9.092 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify 1 into 1
9.092 * [backup-simplify]: Simplify (* 1 1) into 1
9.092 * [backup-simplify]: Simplify (/ 1 1) into 1
9.093 * [backup-simplify]: Simplify (+ 0 1) into 1
9.093 * [backup-simplify]: Simplify (sqrt 1) into 1
9.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.094 * [backup-simplify]: Simplify (+ 0 0) into 0
9.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.095 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.095 * [taylor]: Taking taylor expansion of x in x
9.095 * [backup-simplify]: Simplify 0 into 0
9.095 * [backup-simplify]: Simplify 1 into 1
9.096 * [backup-simplify]: Simplify (* 1 1) into 1
9.096 * [backup-simplify]: Simplify (/ 1 1) into 1
9.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.096 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.096 * [taylor]: Taking taylor expansion of y in x
9.096 * [backup-simplify]: Simplify y into y
9.096 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.097 * [backup-simplify]: Simplify (+ 1 0) into 1
9.097 * [backup-simplify]: Simplify (sqrt 1) into 1
9.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.098 * [backup-simplify]: Simplify (+ 0 0) into 0
9.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.099 * [taylor]: Taking taylor expansion of x in x
9.099 * [backup-simplify]: Simplify 0 into 0
9.099 * [backup-simplify]: Simplify 1 into 1
9.100 * [backup-simplify]: Simplify (* 1 1) into 1
9.100 * [backup-simplify]: Simplify (/ 1 1) into 1
9.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.100 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.100 * [taylor]: Taking taylor expansion of y in x
9.100 * [backup-simplify]: Simplify y into y
9.100 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.100 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.101 * [backup-simplify]: Simplify (+ 1 0) into 1
9.101 * [backup-simplify]: Simplify (sqrt 1) into 1
9.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.102 * [backup-simplify]: Simplify (+ 0 0) into 0
9.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.103 * [taylor]: Taking taylor expansion of 1 in y
9.103 * [backup-simplify]: Simplify 1 into 1
9.103 * [taylor]: Taking taylor expansion of 0 in y
9.103 * [backup-simplify]: Simplify 0 into 0
9.103 * [backup-simplify]: Simplify 1 into 1
9.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.105 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.106 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.106 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.106 * [taylor]: Taking taylor expansion of 1/2 in y
9.106 * [backup-simplify]: Simplify 1/2 into 1/2
9.106 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.106 * [taylor]: Taking taylor expansion of y in y
9.106 * [backup-simplify]: Simplify 0 into 0
9.106 * [backup-simplify]: Simplify 1 into 1
9.106 * [backup-simplify]: Simplify (* 1 1) into 1
9.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.108 * [backup-simplify]: Simplify 0 into 0
9.108 * [backup-simplify]: Simplify 0 into 0
9.108 * [backup-simplify]: Simplify 0 into 0
9.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.110 * [backup-simplify]: Simplify (+ 0 0) into 0
9.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.111 * [taylor]: Taking taylor expansion of 0 in y
9.111 * [backup-simplify]: Simplify 0 into 0
9.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.112 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1)
9.113 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
9.113 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
9.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.113 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.113 * [taylor]: Taking taylor expansion of x in y
9.113 * [backup-simplify]: Simplify x into x
9.113 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.113 * [taylor]: Taking taylor expansion of y in y
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.113 * [taylor]: Taking taylor expansion of x in x
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.113 * [taylor]: Taking taylor expansion of y in x
9.113 * [backup-simplify]: Simplify y into y
9.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.113 * [taylor]: Taking taylor expansion of x in x
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.113 * [taylor]: Taking taylor expansion of y in x
9.113 * [backup-simplify]: Simplify y into y
9.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.114 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.114 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.114 * [taylor]: Taking taylor expansion of y in y
9.114 * [backup-simplify]: Simplify 0 into 0
9.114 * [backup-simplify]: Simplify 1 into 1
9.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.114 * [backup-simplify]: Simplify (+ 0 0) into 0
9.114 * [taylor]: Taking taylor expansion of 0 in y
9.114 * [backup-simplify]: Simplify 0 into 0
9.114 * [backup-simplify]: Simplify 0 into 0
9.114 * [backup-simplify]: Simplify (* 1 1) into 1
9.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.115 * [backup-simplify]: Simplify (+ 1 0) into 1
9.115 * [taylor]: Taking taylor expansion of 1 in y
9.115 * [backup-simplify]: Simplify 1 into 1
9.115 * [backup-simplify]: Simplify 1 into 1
9.115 * [backup-simplify]: Simplify 0 into 0
9.116 * [backup-simplify]: Simplify (* 1 1) into 1
9.116 * [backup-simplify]: Simplify 1 into 1
9.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.117 * [backup-simplify]: Simplify (+ 0 0) into 0
9.117 * [taylor]: Taking taylor expansion of 0 in y
9.117 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.120 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.120 * [backup-simplify]: Simplify (+ 0 0) into 0
9.120 * [taylor]: Taking taylor expansion of 0 in y
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
9.121 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
9.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.121 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.121 * [taylor]: Taking taylor expansion of x in y
9.121 * [backup-simplify]: Simplify x into x
9.121 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.121 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.121 * [taylor]: Taking taylor expansion of y in y
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify (* 1 1) into 1
9.122 * [backup-simplify]: Simplify (/ 1 1) into 1
9.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.122 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.122 * [taylor]: Taking taylor expansion of x in x
9.122 * [backup-simplify]: Simplify 0 into 0
9.122 * [backup-simplify]: Simplify 1 into 1
9.122 * [backup-simplify]: Simplify (* 1 1) into 1
9.122 * [backup-simplify]: Simplify (/ 1 1) into 1
9.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.123 * [taylor]: Taking taylor expansion of y in x
9.123 * [backup-simplify]: Simplify y into y
9.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.123 * [taylor]: Taking taylor expansion of x in x
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 1 into 1
9.123 * [backup-simplify]: Simplify (* 1 1) into 1
9.124 * [backup-simplify]: Simplify (/ 1 1) into 1
9.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.124 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.124 * [taylor]: Taking taylor expansion of y in x
9.124 * [backup-simplify]: Simplify y into y
9.124 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.124 * [backup-simplify]: Simplify (+ 1 0) into 1
9.124 * [taylor]: Taking taylor expansion of 1 in y
9.124 * [backup-simplify]: Simplify 1 into 1
9.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.126 * [backup-simplify]: Simplify (+ 0 0) into 0
9.126 * [taylor]: Taking taylor expansion of 0 in y
9.126 * [backup-simplify]: Simplify 0 into 0
9.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.127 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.127 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.128 * [taylor]: Taking taylor expansion of y in y
9.128 * [backup-simplify]: Simplify 0 into 0
9.128 * [backup-simplify]: Simplify 1 into 1
9.128 * [backup-simplify]: Simplify (* 1 1) into 1
9.128 * [backup-simplify]: Simplify (/ 1 1) into 1
9.128 * [backup-simplify]: Simplify 1 into 1
9.128 * [backup-simplify]: Simplify 1 into 1
9.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.131 * [backup-simplify]: Simplify (+ 0 0) into 0
9.131 * [taylor]: Taking taylor expansion of 0 in y
9.131 * [backup-simplify]: Simplify 0 into 0
9.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 0 into 0
9.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.135 * [backup-simplify]: Simplify (+ 0 0) into 0
9.135 * [taylor]: Taking taylor expansion of 0 in y
9.135 * [backup-simplify]: Simplify 0 into 0
9.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.136 * [backup-simplify]: Simplify 0 into 0
9.136 * [backup-simplify]: Simplify 0 into 0
9.136 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
9.137 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.137 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
9.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.137 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.137 * [taylor]: Taking taylor expansion of x in y
9.137 * [backup-simplify]: Simplify x into x
9.137 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.137 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.138 * [taylor]: Taking taylor expansion of y in y
9.138 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify 1 into 1
9.138 * [backup-simplify]: Simplify (* 1 1) into 1
9.138 * [backup-simplify]: Simplify (/ 1 1) into 1
9.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.138 * [taylor]: Taking taylor expansion of x in x
9.138 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify 1 into 1
9.139 * [backup-simplify]: Simplify (* 1 1) into 1
9.139 * [backup-simplify]: Simplify (/ 1 1) into 1
9.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.139 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.139 * [taylor]: Taking taylor expansion of y in x
9.139 * [backup-simplify]: Simplify y into y
9.139 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.139 * [taylor]: Taking taylor expansion of x in x
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify 1 into 1
9.140 * [backup-simplify]: Simplify (* 1 1) into 1
9.140 * [backup-simplify]: Simplify (/ 1 1) into 1
9.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.140 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.140 * [taylor]: Taking taylor expansion of y in x
9.140 * [backup-simplify]: Simplify y into y
9.140 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.141 * [backup-simplify]: Simplify (+ 1 0) into 1
9.141 * [taylor]: Taking taylor expansion of 1 in y
9.141 * [backup-simplify]: Simplify 1 into 1
9.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.142 * [backup-simplify]: Simplify (+ 0 0) into 0
9.142 * [taylor]: Taking taylor expansion of 0 in y
9.142 * [backup-simplify]: Simplify 0 into 0
9.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.145 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.145 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.145 * [taylor]: Taking taylor expansion of y in y
9.145 * [backup-simplify]: Simplify 0 into 0
9.145 * [backup-simplify]: Simplify 1 into 1
9.145 * [backup-simplify]: Simplify (* 1 1) into 1
9.146 * [backup-simplify]: Simplify (/ 1 1) into 1
9.146 * [backup-simplify]: Simplify 1 into 1
9.146 * [backup-simplify]: Simplify 1 into 1
9.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.147 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.148 * [backup-simplify]: Simplify (+ 0 0) into 0
9.148 * [taylor]: Taking taylor expansion of 0 in y
9.148 * [backup-simplify]: Simplify 0 into 0
9.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.149 * [backup-simplify]: Simplify 0 into 0
9.149 * [backup-simplify]: Simplify 0 into 0
9.149 * [backup-simplify]: Simplify 0 into 0
9.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.152 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.152 * [backup-simplify]: Simplify (+ 0 0) into 0
9.152 * [taylor]: Taking taylor expansion of 0 in y
9.152 * [backup-simplify]: Simplify 0 into 0
9.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.154 * [backup-simplify]: Simplify 0 into 0
9.154 * [backup-simplify]: Simplify 0 into 0
9.154 * [backup-simplify]: Simplify 0 into 0
9.154 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
9.154 * * * [progress]: simplifying candidates
9.155 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* y y))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (exp (log (sqrt (cbrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* x x) (* y y)))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* x x) (* y y)))))
  (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (exp (log (sqrt (- (* x x) (* y y)))))
  (log (exp (log (sqrt (+ (* x x) (* y y))))))
  (exp (exp (log (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))))
  (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))
  (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y))))))
  (sqrt (exp (log (sqrt (+ (* x x) (* y y))))))
  (sqrt (exp (log (sqrt (+ (* x x) (* y y))))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
9.157 * * [simplify]: Extracting # 0 : cost  0
9.157 * * [simplify]: Extracting # 1 : cost  0
9.157 * * [simplify]: Extracting # 2 : cost  0
9.158 * * [simplify]: Extracting # 3 : cost  0
9.158 * * [simplify]: Extracting # 4 : cost  0
9.158 * * [simplify]: Extracting # 5 : cost  0
9.158 * * [simplify]: Extracting # 6 : cost  0
9.158 * * [simplify]: iteration  0 :  87  enodes  (cost  739 )
9.188 * * [simplify]: Extracting # 0 : cost  0
9.189 * * [simplify]: Extracting # 1 : cost  0
9.189 * * [simplify]: Extracting # 2 : cost  0
9.189 * * [simplify]: Extracting # 3 : cost  0
9.189 * * [simplify]: Extracting # 4 : cost  0
9.190 * * [simplify]: iteration  1 :  169  enodes  (cost  626 )
9.258 * * [simplify]: Extracting # 0 : cost  0
9.259 * * [simplify]: Extracting # 1 : cost  0
9.259 * * [simplify]: Extracting # 2 : cost  0
9.260 * * [simplify]: Extracting # 3 : cost  0
9.261 * * [simplify]: Extracting # 4 : cost  0
9.261 * * [simplify]: iteration  2 :  398  enodes  (cost  534 )
9.493 * * [simplify]: Extracting # 0 : cost  0
9.495 * * [simplify]: Extracting # 1 : cost  0
9.496 * * [simplify]: Extracting # 2 : cost  0
9.497 * * [simplify]: Extracting # 3 : cost  0
9.498 * * [simplify]: Extracting # 4 : cost  0
9.500 * * [simplify]: iteration  3 :  1056  enodes  (cost  534 )
10.252 * * [simplify]: Extracting # 0 : cost  0
10.257 * * [simplify]: Extracting # 1 : cost  0
10.262 * * [simplify]: Extracting # 2 : cost  0
10.266 * * [simplify]: Extracting # 3 : cost  0
10.269 * * [simplify]: Extracting # 4 : cost  0
10.272 * * [simplify]: iteration  4 :  2807  enodes  (cost  528 )
11.444 * * [simplify]: Extracting # 0 : cost  0
11.451 * * [simplify]: Extracting # 1 : cost  0
11.459 * * [simplify]: Extracting # 2 : cost  0
11.471 * * [simplify]: Extracting # 3 : cost  0
11.478 * * [simplify]: Extracting # 4 : cost  0
11.485 * * [simplify]: Extracting # 5 : cost  0
11.489 * * [simplify]: iteration done:  5001  enodes  (cost  528 )
11.490 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp 1/2)
  E
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* y y))))))
  E
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
11.490 * * * [progress]: adding candidates to table
11.642 * [progress]: [Phase 3 of 3] Extracting.
11.642 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
11.644 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
11.644 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
11.685 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
11.725 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
11.761 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)>)
11.795 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
11.844 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))>)
11.867 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
11.923 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
11.951 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
12.020 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
12.078 * * * [regime]: Found split indices: #<option (#s(si 4 34) #s(si 2 211) #s(si 3 255))>
12.079 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
12.130 * [regimes]: Found splitpoints: (#s(sp 4 x -1.1564076018637175e+112) #s(sp 2 x 1.3595155319523303e+138) #s(sp 3 x +nan.0)) , with alts (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (exp (log y)))> #<alt (λ (x y) (pow (exp 1/2) (log (+ (* x x) (* y y)))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (- x))))> #<alt (λ (x y) (exp (log x)))>)
12.131 * [simplify]: Simplifying:
  (if (<= x -1.1564076018637175e+112) (- x) (if (<= x 1.3595155319523303e+138) (sqrt (+ (* x x) (* y y))) x))
12.131 * * [simplify]: Extracting # 0 : cost  0
12.131 * * [simplify]: Extracting # 1 : cost  0
12.131 * * [simplify]: Extracting # 2 : cost  0
12.131 * * [simplify]: Extracting # 3 : cost  0
12.131 * * [simplify]: Extracting # 4 : cost  0
12.131 * * [simplify]: Extracting # 5 : cost  0
12.131 * * [simplify]: Extracting # 6 : cost  0
12.131 * * [simplify]: Extracting # 7 : cost  0
12.131 * * [simplify]: Extracting # 8 : cost  0
12.131 * * [simplify]: Extracting # 9 : cost  0
12.131 * * [simplify]: iteration  0 :  13  enodes  (cost  19 )
12.132 * * [simplify]: Extracting # 0 : cost  0
12.132 * * [simplify]: iteration  1 :  14  enodes  (cost  19 )
12.132 * * [simplify]: Extracting # 0 : cost  0
12.132 * * [simplify]: iteration done:  14  enodes  (cost  19 )
12.132 * [simplify]: Simplified to:
  (if (<= x -1.1564076018637175e+112) (- x) (if (<= x 1.3595155319523303e+138) (sqrt (+ (* x x) (* y y))) x))
13.218 * [regime-testing]: Baseline error score: 31.60898001601765
13.220 * [regime-testing]: Oracle error score: 7.884190684029036
13.227 * [regime-testing]: End program error score: 17.792082895301338
13.273 * [regime-testing]: Target error score: 17.829435822792775