61.363 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.030 * [progress]: [Phase 2 of 3] Improving.
0.030 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.031 * * [simplify]: Extracting # 0 : cost  0
0.031 * * [simplify]: Extracting # 1 : cost  0
0.031 * * [simplify]: Extracting # 2 : cost  0
0.031 * * [simplify]: Extracting # 3 : cost  0
0.031 * * [simplify]: Extracting # 4 : cost  0
0.031 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
0.032 * * [simplify]: Extracting # 0 : cost  0
0.032 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: iteration done:  6  enodes  (cost  7 )
0.033 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.034 * * [progress]: iteration 1 / 4
0.034 * * * [progress]: picking best candidate
0.035 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.036 * * * [progress]: localizing error
0.043 * * * [progress]: generating rewritten candidates
0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.057 * * * [progress]: generating series expansions
0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.058 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.058 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.058 * [taylor]: Taking taylor expansion of x in y
0.058 * [backup-simplify]: Simplify x into x
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.058 * [taylor]: Taking taylor expansion of y in y
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.058 * [taylor]: Taking taylor expansion of x in x
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.058 * [taylor]: Taking taylor expansion of y in x
0.058 * [backup-simplify]: Simplify y into y
0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.058 * [taylor]: Taking taylor expansion of x in x
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.058 * [taylor]: Taking taylor expansion of y in x
0.058 * [backup-simplify]: Simplify y into y
0.058 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.059 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.059 * [backup-simplify]: Simplify (+ 0 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
0.060 * [backup-simplify]: Simplify (* 1 1) into 1
0.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.061 * [backup-simplify]: Simplify (+ 1 0) into 1
0.061 * [taylor]: Taking taylor expansion of 1 in y
0.061 * [backup-simplify]: Simplify 1 into 1
0.061 * [backup-simplify]: Simplify 1 into 1
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (* 1 1) into 1
0.061 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [taylor]: Taking taylor expansion of 0 in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.065 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.065 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
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
0.065 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [backup-simplify]: Simplify y into y
0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (* 1 1) into 1
0.067 * [backup-simplify]: Simplify (/ 1 1) into 1
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.068 * [backup-simplify]: Simplify (+ 1 0) into 1
0.068 * [taylor]: Taking taylor expansion of 1 in y
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (* 1 1) into 1
0.072 * [backup-simplify]: Simplify (/ 1 1) into 1
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [backup-simplify]: Simplify 0 into 0
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 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.081 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.081 * [taylor]: Taking taylor expansion of x in y
0.081 * [backup-simplify]: Simplify x into x
0.082 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (* 1 1) into 1
0.082 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.083 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.084 * [backup-simplify]: Simplify y into y
0.084 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.084 * [taylor]: Taking taylor expansion of x in x
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.085 * [taylor]: Taking taylor expansion of y in x
0.085 * [backup-simplify]: Simplify y into y
0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.085 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.085 * [backup-simplify]: Simplify (+ 1 0) into 1
0.085 * [taylor]: Taking taylor expansion of 1 in y
0.085 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [taylor]: Taking taylor expansion of 0 in y
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.111 * * * [progress]: simplifying candidates
0.111 * [simplify]: Simplifying:
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.112 * * [simplify]: Extracting # 0 : cost  0
0.112 * * [simplify]: Extracting # 1 : cost  0
0.112 * * [simplify]: Extracting # 2 : cost  0
0.112 * * [simplify]: Extracting # 3 : cost  0
0.112 * * [simplify]: Extracting # 4 : cost  0
0.112 * * [simplify]: Extracting # 5 : cost  0
0.112 * * [simplify]: Extracting # 6 : cost  0
0.112 * * [simplify]: iteration  0 :  30  enodes  (cost  166 )
0.124 * * [simplify]: Extracting # 0 : cost  0
0.124 * * [simplify]: Extracting # 1 : cost  0
0.125 * * [simplify]: Extracting # 2 : cost  0
0.125 * * [simplify]: Extracting # 3 : cost  0
0.125 * * [simplify]: Extracting # 4 : cost  0
0.125 * * [simplify]: iteration  1 :  100  enodes  (cost  161 )
0.185 * * [simplify]: Extracting # 0 : cost  0
0.185 * * [simplify]: Extracting # 1 : cost  0
0.186 * * [simplify]: Extracting # 2 : cost  0
0.186 * * [simplify]: Extracting # 3 : cost  0
0.186 * * [simplify]: Extracting # 4 : cost  0
0.187 * * [simplify]: iteration  2 :  291  enodes  (cost  131 )
0.314 * * [simplify]: Extracting # 0 : cost  0
0.315 * * [simplify]: Extracting # 1 : cost  0
0.315 * * [simplify]: Extracting # 2 : cost  0
0.316 * * [simplify]: Extracting # 3 : cost  0
0.317 * * [simplify]: iteration  3 :  694  enodes  (cost  131 )
0.696 * * [simplify]: Extracting # 0 : cost  0
0.699 * * [simplify]: Extracting # 1 : cost  0
0.702 * * [simplify]: Extracting # 2 : cost  0
0.704 * * [simplify]: Extracting # 3 : cost  0
0.707 * * [simplify]: Extracting # 4 : cost  0
0.709 * * [simplify]: iteration  4 :  1837  enodes  (cost  131 )
1.787 * * [simplify]: Extracting # 0 : cost  0
1.794 * * [simplify]: Extracting # 1 : cost  0
1.800 * * [simplify]: Extracting # 2 : cost  0
1.805 * * [simplify]: Extracting # 3 : cost  0
1.811 * * [simplify]: Extracting # 4 : cost  0
1.816 * * [simplify]: iteration done:  5000  enodes  (cost  131 )
1.816 * [simplify]: Simplified to:
  (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 x 6) (pow y 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.817 * * * [progress]: adding candidates to table
1.845 * * [progress]: iteration 2 / 4
1.845 * * * [progress]: picking best candidate
1.847 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
1.847 * * * [progress]: localizing error
1.854 * * * [progress]: generating rewritten candidates
1.854 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.871 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.887 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.956 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
1.978 * * * [progress]: generating series expansions
1.978 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.978 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.978 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.978 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.978 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.978 * [taylor]: Taking taylor expansion of x in y
1.978 * [backup-simplify]: Simplify x into x
1.978 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.978 * [taylor]: Taking taylor expansion of y in y
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.979 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.979 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.979 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.980 * [backup-simplify]: Simplify (+ 0 0) into 0
1.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.980 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.980 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.980 * [taylor]: Taking taylor expansion of x in x
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.980 * [taylor]: Taking taylor expansion of y in x
1.980 * [backup-simplify]: Simplify y into y
1.980 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.980 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.980 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.981 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.981 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.981 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.981 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.981 * [taylor]: Taking taylor expansion of x in x
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 1 into 1
1.981 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.981 * [taylor]: Taking taylor expansion of y in x
1.981 * [backup-simplify]: Simplify y into y
1.982 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.982 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.982 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.982 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.983 * [taylor]: Taking taylor expansion of y in y
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [taylor]: Taking taylor expansion of 0 in y
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (* 1 1) into 1
1.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.984 * [backup-simplify]: Simplify (+ 1 0) into 1
1.985 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.985 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.985 * [taylor]: Taking taylor expansion of 1/2 in y
1.985 * [backup-simplify]: Simplify 1/2 into 1/2
1.985 * [taylor]: Taking taylor expansion of y in y
1.985 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify 1 into 1
1.986 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.986 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.988 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.988 * [backup-simplify]: Simplify (+ 0 0) into 0
1.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.989 * [taylor]: Taking taylor expansion of 0 in y
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.990 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.990 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.990 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.990 * [taylor]: Taking taylor expansion of x in y
1.990 * [backup-simplify]: Simplify x into x
1.991 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.991 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.991 * [taylor]: Taking taylor expansion of y in y
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 1 into 1
1.991 * [backup-simplify]: Simplify (* 1 1) into 1
1.992 * [backup-simplify]: Simplify (/ 1 1) into 1
1.992 * [backup-simplify]: Simplify (+ 0 1) into 1
1.992 * [backup-simplify]: Simplify (sqrt 1) into 1
1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.994 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.994 * [taylor]: Taking taylor expansion of x in x
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.994 * [backup-simplify]: Simplify (* 1 1) into 1
1.995 * [backup-simplify]: Simplify (/ 1 1) into 1
1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.995 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.995 * [taylor]: Taking taylor expansion of y in x
1.995 * [backup-simplify]: Simplify y into y
1.995 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.995 * [backup-simplify]: Simplify (+ 1 0) into 1
1.995 * [backup-simplify]: Simplify (sqrt 1) into 1
1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.996 * [backup-simplify]: Simplify (+ 0 0) into 0
1.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.997 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.997 * [taylor]: Taking taylor expansion of x in x
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 1 into 1
1.997 * [backup-simplify]: Simplify (* 1 1) into 1
1.998 * [backup-simplify]: Simplify (/ 1 1) into 1
1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.998 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.998 * [taylor]: Taking taylor expansion of y in x
1.998 * [backup-simplify]: Simplify y into y
1.998 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.998 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.998 * [backup-simplify]: Simplify (+ 1 0) into 1
1.998 * [backup-simplify]: Simplify (sqrt 1) into 1
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify (+ 0 0) into 0
2.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.000 * [taylor]: Taking taylor expansion of 1 in y
2.000 * [backup-simplify]: Simplify 1 into 1
2.000 * [taylor]: Taking taylor expansion of 0 in y
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.002 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.002 * [taylor]: Taking taylor expansion of 1/2 in y
2.002 * [backup-simplify]: Simplify 1/2 into 1/2
2.002 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.002 * [taylor]: Taking taylor expansion of y in y
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 1 into 1
2.003 * [backup-simplify]: Simplify (* 1 1) into 1
2.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.005 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.006 * [taylor]: Taking taylor expansion of 0 in y
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.007 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.007 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.008 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.008 * [taylor]: Taking taylor expansion of x in y
2.008 * [backup-simplify]: Simplify x into x
2.008 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.008 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.008 * [taylor]: Taking taylor expansion of y in y
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [backup-simplify]: Simplify (* 1 1) into 1
2.008 * [backup-simplify]: Simplify (/ 1 1) into 1
2.009 * [backup-simplify]: Simplify (+ 0 1) into 1
2.009 * [backup-simplify]: Simplify (sqrt 1) into 1
2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.010 * [backup-simplify]: Simplify (+ 0 0) into 0
2.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.010 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.010 * [taylor]: Taking taylor expansion of x in x
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 1 into 1
2.011 * [backup-simplify]: Simplify (* 1 1) into 1
2.011 * [backup-simplify]: Simplify (/ 1 1) into 1
2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.011 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.011 * [taylor]: Taking taylor expansion of y in x
2.011 * [backup-simplify]: Simplify y into y
2.011 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.011 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.012 * [backup-simplify]: Simplify (+ 1 0) into 1
2.012 * [backup-simplify]: Simplify (sqrt 1) into 1
2.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.014 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.014 * [taylor]: Taking taylor expansion of x in x
2.014 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify 1 into 1
2.014 * [backup-simplify]: Simplify (* 1 1) into 1
2.014 * [backup-simplify]: Simplify (/ 1 1) into 1
2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.014 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.014 * [taylor]: Taking taylor expansion of y in x
2.014 * [backup-simplify]: Simplify y into y
2.014 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.014 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.015 * [backup-simplify]: Simplify (+ 1 0) into 1
2.015 * [backup-simplify]: Simplify (sqrt 1) into 1
2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.016 * [taylor]: Taking taylor expansion of 1 in y
2.016 * [backup-simplify]: Simplify 1 into 1
2.016 * [taylor]: Taking taylor expansion of 0 in y
2.016 * [backup-simplify]: Simplify 0 into 0
2.017 * [backup-simplify]: Simplify 1 into 1
2.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.018 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.019 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.019 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.019 * [taylor]: Taking taylor expansion of 1/2 in y
2.019 * [backup-simplify]: Simplify 1/2 into 1/2
2.019 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.019 * [taylor]: Taking taylor expansion of y in y
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 1 into 1
2.019 * [backup-simplify]: Simplify (* 1 1) into 1
2.019 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.024 * [backup-simplify]: Simplify (+ 0 0) into 0
2.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.024 * [taylor]: Taking taylor expansion of 0 in y
2.024 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.027 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.027 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.027 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.027 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.027 * [taylor]: Taking taylor expansion of x in y
2.027 * [backup-simplify]: Simplify x into x
2.027 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.027 * [taylor]: Taking taylor expansion of y in y
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 1 into 1
2.027 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.027 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.028 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.028 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.028 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.028 * [taylor]: Taking taylor expansion of x in x
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 1 into 1
2.028 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.028 * [taylor]: Taking taylor expansion of y in x
2.029 * [backup-simplify]: Simplify y into y
2.029 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.029 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.029 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.029 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.029 * [backup-simplify]: Simplify (+ 0 0) into 0
2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.030 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.030 * [taylor]: Taking taylor expansion of x in x
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.030 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.030 * [taylor]: Taking taylor expansion of y in x
2.030 * [backup-simplify]: Simplify y into y
2.030 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.030 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.030 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.030 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.031 * [backup-simplify]: Simplify (+ 0 0) into 0
2.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.031 * [taylor]: Taking taylor expansion of y in y
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 1 into 1
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [taylor]: Taking taylor expansion of 0 in y
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 1 into 1
2.031 * [backup-simplify]: Simplify (* 1 1) into 1
2.032 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.032 * [backup-simplify]: Simplify (+ 1 0) into 1
2.033 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.033 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.033 * [taylor]: Taking taylor expansion of 1/2 in y
2.033 * [backup-simplify]: Simplify 1/2 into 1/2
2.033 * [taylor]: Taking taylor expansion of y in y
2.033 * [backup-simplify]: Simplify 0 into 0
2.033 * [backup-simplify]: Simplify 1 into 1
2.034 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.043 * [backup-simplify]: Simplify (+ 0 0) into 0
2.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.043 * [taylor]: Taking taylor expansion of 0 in y
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.045 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.045 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.045 * [taylor]: Taking taylor expansion of x in y
2.045 * [backup-simplify]: Simplify x into x
2.045 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.045 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.046 * [taylor]: Taking taylor expansion of y in y
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (* 1 1) into 1
2.046 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [backup-simplify]: Simplify (+ 0 1) into 1
2.047 * [backup-simplify]: Simplify (sqrt 1) into 1
2.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.050 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.050 * [taylor]: Taking taylor expansion of x in x
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.051 * [backup-simplify]: Simplify (* 1 1) into 1
2.051 * [backup-simplify]: Simplify (/ 1 1) into 1
2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.051 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.051 * [taylor]: Taking taylor expansion of y in x
2.051 * [backup-simplify]: Simplify y into y
2.051 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.052 * [backup-simplify]: Simplify (+ 1 0) into 1
2.052 * [backup-simplify]: Simplify (sqrt 1) into 1
2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.053 * [backup-simplify]: Simplify (+ 0 0) into 0
2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.053 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.053 * [taylor]: Taking taylor expansion of x in x
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 1 into 1
2.054 * [backup-simplify]: Simplify (* 1 1) into 1
2.054 * [backup-simplify]: Simplify (/ 1 1) into 1
2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.054 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.054 * [taylor]: Taking taylor expansion of y in x
2.054 * [backup-simplify]: Simplify y into y
2.054 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.054 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.055 * [backup-simplify]: Simplify (+ 1 0) into 1
2.055 * [backup-simplify]: Simplify (sqrt 1) into 1
2.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (+ 0 0) into 0
2.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.057 * [taylor]: Taking taylor expansion of 1 in y
2.057 * [backup-simplify]: Simplify 1 into 1
2.057 * [taylor]: Taking taylor expansion of 0 in y
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 1 into 1
2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.059 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.059 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.059 * [taylor]: Taking taylor expansion of 1/2 in y
2.059 * [backup-simplify]: Simplify 1/2 into 1/2
2.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.059 * [taylor]: Taking taylor expansion of y in y
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 1 into 1
2.059 * [backup-simplify]: Simplify (* 1 1) into 1
2.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.062 * [backup-simplify]: Simplify (+ 0 0) into 0
2.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.062 * [taylor]: Taking taylor expansion of 0 in y
2.062 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.064 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.064 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.064 * [taylor]: Taking taylor expansion of x in y
2.064 * [backup-simplify]: Simplify x into x
2.064 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.064 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.064 * [taylor]: Taking taylor expansion of y in y
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.065 * [backup-simplify]: Simplify (* 1 1) into 1
2.065 * [backup-simplify]: Simplify (/ 1 1) into 1
2.065 * [backup-simplify]: Simplify (+ 0 1) into 1
2.065 * [backup-simplify]: Simplify (sqrt 1) into 1
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.066 * [backup-simplify]: Simplify (+ 0 0) into 0
2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.067 * [taylor]: Taking taylor expansion of x in x
2.067 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify 1 into 1
2.067 * [backup-simplify]: Simplify (* 1 1) into 1
2.067 * [backup-simplify]: Simplify (/ 1 1) into 1
2.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.068 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.068 * [taylor]: Taking taylor expansion of y in x
2.068 * [backup-simplify]: Simplify y into y
2.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.068 * [backup-simplify]: Simplify (+ 1 0) into 1
2.068 * [backup-simplify]: Simplify (sqrt 1) into 1
2.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.069 * [backup-simplify]: Simplify (+ 0 0) into 0
2.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.070 * [taylor]: Taking taylor expansion of x in x
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [backup-simplify]: Simplify (* 1 1) into 1
2.070 * [backup-simplify]: Simplify (/ 1 1) into 1
2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.071 * [taylor]: Taking taylor expansion of y in x
2.071 * [backup-simplify]: Simplify y into y
2.071 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.071 * [backup-simplify]: Simplify (+ 1 0) into 1
2.071 * [backup-simplify]: Simplify (sqrt 1) into 1
2.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.072 * [backup-simplify]: Simplify (+ 0 0) into 0
2.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.073 * [taylor]: Taking taylor expansion of 1 in y
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [taylor]: Taking taylor expansion of 0 in y
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.075 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.075 * [taylor]: Taking taylor expansion of 1/2 in y
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.075 * [taylor]: Taking taylor expansion of y in y
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [backup-simplify]: Simplify (* 1 1) into 1
2.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.078 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.078 * [backup-simplify]: Simplify (+ 0 0) into 0
2.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.079 * [taylor]: Taking taylor expansion of 0 in y
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.080 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.080 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2))
2.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.080 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.080 * [taylor]: Taking taylor expansion of x in y
2.080 * [backup-simplify]: Simplify x into x
2.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.080 * [taylor]: Taking taylor expansion of y in y
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 1 into 1
2.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.081 * [taylor]: Taking taylor expansion of x in x
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.081 * [taylor]: Taking taylor expansion of y in x
2.081 * [backup-simplify]: Simplify y into y
2.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.081 * [taylor]: Taking taylor expansion of x in x
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.081 * [taylor]: Taking taylor expansion of y in x
2.081 * [backup-simplify]: Simplify y into y
2.081 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.081 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.081 * [taylor]: Taking taylor expansion of y in y
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.081 * [backup-simplify]: Simplify (+ 0 0) into 0
2.081 * [taylor]: Taking taylor expansion of 0 in y
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify (* 1 1) into 1
2.082 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.082 * [backup-simplify]: Simplify (+ 1 0) into 1
2.082 * [taylor]: Taking taylor expansion of 1 in y
2.082 * [backup-simplify]: Simplify 1 into 1
2.082 * [backup-simplify]: Simplify 1 into 1
2.082 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify (* 1 1) into 1
2.083 * [backup-simplify]: Simplify 1 into 1
2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.084 * [backup-simplify]: Simplify (+ 0 0) into 0
2.084 * [taylor]: Taking taylor expansion of 0 in y
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.084 * [backup-simplify]: Simplify 0 into 0
2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.086 * [backup-simplify]: Simplify (+ 0 0) into 0
2.086 * [taylor]: Taking taylor expansion of 0 in y
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.086 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.086 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.086 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.086 * [taylor]: Taking taylor expansion of x in y
2.086 * [backup-simplify]: Simplify x into x
2.086 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.086 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.087 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.087 * [taylor]: Taking taylor expansion of y in y
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [backup-simplify]: Simplify 1 into 1
2.087 * [backup-simplify]: Simplify (* 1 1) into 1
2.087 * [backup-simplify]: Simplify (/ 1 1) into 1
2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.087 * [taylor]: Taking taylor expansion of x in x
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [backup-simplify]: Simplify 1 into 1
2.087 * [backup-simplify]: Simplify (* 1 1) into 1
2.088 * [backup-simplify]: Simplify (/ 1 1) into 1
2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.088 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.088 * [taylor]: Taking taylor expansion of y in x
2.088 * [backup-simplify]: Simplify y into y
2.088 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.088 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.088 * [taylor]: Taking taylor expansion of x in x
2.088 * [backup-simplify]: Simplify 0 into 0
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [backup-simplify]: Simplify (* 1 1) into 1
2.088 * [backup-simplify]: Simplify (/ 1 1) into 1
2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.088 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.088 * [taylor]: Taking taylor expansion of y in x
2.088 * [backup-simplify]: Simplify y into y
2.089 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.089 * [backup-simplify]: Simplify (+ 1 0) into 1
2.089 * [taylor]: Taking taylor expansion of 1 in y
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.090 * [backup-simplify]: Simplify (+ 0 0) into 0
2.090 * [taylor]: Taking taylor expansion of 0 in y
2.090 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.091 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.091 * [taylor]: Taking taylor expansion of y in y
2.091 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify 1 into 1
2.092 * [backup-simplify]: Simplify (* 1 1) into 1
2.092 * [backup-simplify]: Simplify (/ 1 1) into 1
2.092 * [backup-simplify]: Simplify 1 into 1
2.092 * [backup-simplify]: Simplify 1 into 1
2.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.094 * [backup-simplify]: Simplify (+ 0 0) into 0
2.094 * [taylor]: Taking taylor expansion of 0 in y
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.094 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.098 * [backup-simplify]: Simplify (+ 0 0) into 0
2.098 * [taylor]: Taking taylor expansion of 0 in y
2.098 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.101 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.101 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.101 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.101 * [taylor]: Taking taylor expansion of x in y
2.101 * [backup-simplify]: Simplify x into x
2.101 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.102 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.102 * [taylor]: Taking taylor expansion of y in y
2.102 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [backup-simplify]: Simplify (* 1 1) into 1
2.103 * [backup-simplify]: Simplify (/ 1 1) into 1
2.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.103 * [taylor]: Taking taylor expansion of x in x
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 1 into 1
2.103 * [backup-simplify]: Simplify (* 1 1) into 1
2.104 * [backup-simplify]: Simplify (/ 1 1) into 1
2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.104 * [taylor]: Taking taylor expansion of y in x
2.104 * [backup-simplify]: Simplify y into y
2.104 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.104 * [taylor]: Taking taylor expansion of x in x
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify (* 1 1) into 1
2.105 * [backup-simplify]: Simplify (/ 1 1) into 1
2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.105 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.105 * [taylor]: Taking taylor expansion of y in x
2.105 * [backup-simplify]: Simplify y into y
2.105 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.106 * [backup-simplify]: Simplify (+ 1 0) into 1
2.106 * [taylor]: Taking taylor expansion of 1 in y
2.106 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.107 * [backup-simplify]: Simplify (+ 0 0) into 0
2.107 * [taylor]: Taking taylor expansion of 0 in y
2.107 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.110 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.110 * [taylor]: Taking taylor expansion of y in y
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 1 into 1
2.110 * [backup-simplify]: Simplify (* 1 1) into 1
2.110 * [backup-simplify]: Simplify (/ 1 1) into 1
2.110 * [backup-simplify]: Simplify 1 into 1
2.111 * [backup-simplify]: Simplify 1 into 1
2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.113 * [backup-simplify]: Simplify (+ 0 0) into 0
2.113 * [taylor]: Taking taylor expansion of 0 in y
2.113 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.117 * [backup-simplify]: Simplify (+ 0 0) into 0
2.117 * [taylor]: Taking taylor expansion of 0 in y
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.118 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
2.118 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
2.118 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.118 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.118 * [taylor]: Taking taylor expansion of x in y
2.118 * [backup-simplify]: Simplify x into x
2.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.118 * [taylor]: Taking taylor expansion of y in y
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify 1 into 1
2.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.119 * [taylor]: Taking taylor expansion of x in x
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 1 into 1
2.119 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.119 * [taylor]: Taking taylor expansion of y in x
2.119 * [backup-simplify]: Simplify y into y
2.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.119 * [taylor]: Taking taylor expansion of x in x
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 1 into 1
2.119 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.119 * [taylor]: Taking taylor expansion of y in x
2.119 * [backup-simplify]: Simplify y into y
2.119 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.119 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.119 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.119 * [taylor]: Taking taylor expansion of y in y
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 1 into 1
2.119 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [taylor]: Taking taylor expansion of 0 in y
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify (* 1 1) into 1
2.120 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.120 * [backup-simplify]: Simplify (+ 1 0) into 1
2.120 * [taylor]: Taking taylor expansion of 1 in y
2.120 * [backup-simplify]: Simplify 1 into 1
2.120 * [backup-simplify]: Simplify 1 into 1
2.120 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify (* 1 1) into 1
2.121 * [backup-simplify]: Simplify 1 into 1
2.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.122 * [backup-simplify]: Simplify (+ 0 0) into 0
2.122 * [taylor]: Taking taylor expansion of 0 in y
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.124 * [backup-simplify]: Simplify (+ 0 0) into 0
2.124 * [taylor]: Taking taylor expansion of 0 in y
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.124 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.124 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.124 * [taylor]: Taking taylor expansion of x in y
2.124 * [backup-simplify]: Simplify x into x
2.124 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.125 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.125 * [taylor]: Taking taylor expansion of y in y
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (* 1 1) into 1
2.125 * [backup-simplify]: Simplify (/ 1 1) into 1
2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.125 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.125 * [taylor]: Taking taylor expansion of x in x
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (* 1 1) into 1
2.126 * [backup-simplify]: Simplify (/ 1 1) into 1
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.126 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.126 * [taylor]: Taking taylor expansion of y in x
2.126 * [backup-simplify]: Simplify y into y
2.126 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.126 * [taylor]: Taking taylor expansion of x in x
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (* 1 1) into 1
2.127 * [backup-simplify]: Simplify (/ 1 1) into 1
2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.127 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.127 * [taylor]: Taking taylor expansion of y in x
2.127 * [backup-simplify]: Simplify y into y
2.127 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.127 * [backup-simplify]: Simplify (+ 1 0) into 1
2.127 * [taylor]: Taking taylor expansion of 1 in y
2.127 * [backup-simplify]: Simplify 1 into 1
2.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.128 * [backup-simplify]: Simplify (+ 0 0) into 0
2.128 * [taylor]: Taking taylor expansion of 0 in y
2.128 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.129 * [taylor]: Taking taylor expansion of y in y
2.129 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify (* 1 1) into 1
2.130 * [backup-simplify]: Simplify (/ 1 1) into 1
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify 1 into 1
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.132 * [backup-simplify]: Simplify (+ 0 0) into 0
2.132 * [taylor]: Taking taylor expansion of 0 in y
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.134 * [backup-simplify]: Simplify (+ 0 0) into 0
2.134 * [taylor]: Taking taylor expansion of 0 in y
2.134 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.136 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.136 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.136 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.136 * [taylor]: Taking taylor expansion of x in y
2.136 * [backup-simplify]: Simplify x into x
2.136 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.136 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.136 * [taylor]: Taking taylor expansion of y in y
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 1 into 1
2.137 * [backup-simplify]: Simplify (* 1 1) into 1
2.137 * [backup-simplify]: Simplify (/ 1 1) into 1
2.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.137 * [taylor]: Taking taylor expansion of x in x
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [backup-simplify]: Simplify (* 1 1) into 1
2.137 * [backup-simplify]: Simplify (/ 1 1) into 1
2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.137 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.137 * [taylor]: Taking taylor expansion of y in x
2.137 * [backup-simplify]: Simplify y into y
2.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.138 * [taylor]: Taking taylor expansion of x in x
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [backup-simplify]: Simplify (* 1 1) into 1
2.138 * [backup-simplify]: Simplify (/ 1 1) into 1
2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.138 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.138 * [taylor]: Taking taylor expansion of y in x
2.138 * [backup-simplify]: Simplify y into y
2.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.139 * [backup-simplify]: Simplify (+ 1 0) into 1
2.139 * [taylor]: Taking taylor expansion of 1 in y
2.139 * [backup-simplify]: Simplify 1 into 1
2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.140 * [backup-simplify]: Simplify (+ 0 0) into 0
2.140 * [taylor]: Taking taylor expansion of 0 in y
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.141 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.141 * [taylor]: Taking taylor expansion of y in y
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [backup-simplify]: Simplify (* 1 1) into 1
2.142 * [backup-simplify]: Simplify (/ 1 1) into 1
2.142 * [backup-simplify]: Simplify 1 into 1
2.142 * [backup-simplify]: Simplify 1 into 1
2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.143 * [backup-simplify]: Simplify (+ 0 0) into 0
2.143 * [taylor]: Taking taylor expansion of 0 in y
2.143 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.146 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.153 * [backup-simplify]: Simplify (+ 0 0) into 0
2.153 * [taylor]: Taking taylor expansion of 0 in y
2.153 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.156 * * * [progress]: simplifying candidates
2.158 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))
  (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))))
  (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
2.163 * * [simplify]: Extracting # 0 : cost  0
2.163 * * [simplify]: Extracting # 1 : cost  0
2.163 * * [simplify]: Extracting # 2 : cost  0
2.164 * * [simplify]: Extracting # 3 : cost  0
2.164 * * [simplify]: Extracting # 4 : cost  0
2.164 * * [simplify]: Extracting # 5 : cost  0
2.164 * * [simplify]: Extracting # 6 : cost  0
2.165 * * [simplify]: iteration  0 :  92  enodes  (cost  1982 )
2.210 * * [simplify]: Extracting # 0 : cost  0
2.210 * * [simplify]: Extracting # 1 : cost  0
2.210 * * [simplify]: Extracting # 2 : cost  0
2.211 * * [simplify]: Extracting # 3 : cost  0
2.211 * * [simplify]: Extracting # 4 : cost  0
2.211 * * [simplify]: Extracting # 5 : cost  0
2.212 * * [simplify]: iteration  1 :  191  enodes  (cost  1397 )
2.315 * * [simplify]: Extracting # 0 : cost  0
2.316 * * [simplify]: Extracting # 1 : cost  0
2.316 * * [simplify]: Extracting # 2 : cost  0
2.317 * * [simplify]: Extracting # 3 : cost  0
2.317 * * [simplify]: Extracting # 4 : cost  0
2.318 * * [simplify]: Extracting # 5 : cost  0
2.318 * * [simplify]: iteration  2 :  550  enodes  (cost  1177 )
2.706 * * [simplify]: Extracting # 0 : cost  0
2.709 * * [simplify]: Extracting # 1 : cost  0
2.712 * * [simplify]: Extracting # 2 : cost  0
2.714 * * [simplify]: Extracting # 3 : cost  0
2.717 * * [simplify]: Extracting # 4 : cost  0
2.719 * * [simplify]: iteration  3 :  1718  enodes  (cost  1138 )
3.973 * * [simplify]: Extracting # 0 : cost  0
3.985 * * [simplify]: Extracting # 1 : cost  0
3.993 * * [simplify]: Extracting # 2 : cost  0
3.998 * * [simplify]: Extracting # 3 : cost  0
4.002 * * [simplify]: Extracting # 4 : cost  0
4.009 * * [simplify]: Extracting # 5 : cost  0
4.014 * * [simplify]: iteration done:  5001  enodes  (cost  1110 )
4.015 * [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 (* (+ y x) (- x 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 (* (+ y x) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  1
  2
  1
  1
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (+ (* x x) (* y y))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  2
  (log (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (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))
  (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y))))
  (- (pow x 4) (pow y 4))
  (* (+ y x) (- x y))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  2
  1
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5)
  (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (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))
  (* (+ y x) (- x y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
4.016 * * * [progress]: adding candidates to table
4.270 * [progress]: [Phase 3 of 3] Extracting.
4.270 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.270 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
4.270 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.280 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.296 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.316 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.336 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.357 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
4.357 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
4.357 * * [simplify]: Extracting # 0 : cost  0
4.357 * * [simplify]: Extracting # 1 : cost  0
4.357 * * [simplify]: Extracting # 2 : cost  0
4.357 * * [simplify]: Extracting # 3 : cost  0
4.357 * * [simplify]: Extracting # 4 : cost  0
4.357 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
4.358 * * [simplify]: Extracting # 0 : cost  0
4.358 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
4.358 * * [simplify]: Extracting # 0 : cost  0
4.358 * * [simplify]: iteration done:  6  enodes  (cost  7 )
4.358 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
5.568 * [regime-testing]: Baseline error score: 0.008751093886735842
5.569 * [regime-testing]: Oracle error score: 0.006250781347668459
5.570 * [regime-testing]: End program error score: 0.008751093886735842