81.525 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.028 * [progress]: [Phase 2 of 3] Improving.
0.028 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.028 * * [simplify]: Extracting # 0 : cost  0
0.028 * * [simplify]: Extracting # 1 : cost  0
0.028 * * [simplify]: Extracting # 2 : cost  0
0.028 * * [simplify]: Extracting # 3 : cost  0
0.028 * * [simplify]: Extracting # 4 : cost  0
0.028 * * [simplify]: Extracting # 5 : cost  0
0.028 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
0.029 * * [simplify]: Extracting # 0 : cost  0
0.029 * * [simplify]: iteration  1 :  7  enodes  (cost  8 )
0.030 * * [simplify]: Extracting # 0 : cost  0
0.030 * * [simplify]: iteration done:  7  enodes  (cost  8 )
0.030 * [simplify]: Simplified to:
  (sqrt (+ (* x x) (* y y)))
0.031 * * [progress]: iteration 1 / 4
0.031 * * * [progress]: picking best candidate
0.033 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.033 * * * [progress]: localizing error
0.040 * * * [progress]: generating rewritten candidates
0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.074 * * * [progress]: generating series expansions
0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.074 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.074 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [backup-simplify]: Simplify x into x
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.075 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.075 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.075 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.076 * [taylor]: Taking taylor expansion of x in x
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [backup-simplify]: Simplify y into y
0.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.077 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.077 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [backup-simplify]: Simplify y into y
0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.078 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.079 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify 0 into 0
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (* 1 1) into 1
0.080 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.081 * [backup-simplify]: Simplify (+ 1 0) into 1
0.081 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.081 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.081 * [taylor]: Taking taylor expansion of 1/2 in y
0.081 * [backup-simplify]: Simplify 1/2 into 1/2
0.081 * [taylor]: Taking taylor expansion of y in y
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.085 * [taylor]: Taking taylor expansion of x in y
0.085 * [backup-simplify]: Simplify x into x
0.085 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.085 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [backup-simplify]: Simplify (+ 0 1) into 1
0.086 * [backup-simplify]: Simplify (sqrt 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
0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.088 * [taylor]: Taking taylor expansion of x in x
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.088 * [taylor]: Taking taylor expansion of y in x
0.088 * [backup-simplify]: Simplify y into y
0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.089 * [backup-simplify]: Simplify (+ 1 0) into 1
0.089 * [backup-simplify]: Simplify (sqrt 1) into 1
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [backup-simplify]: Simplify y into y
0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (sqrt 1) into 1
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.093 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.096 * [taylor]: Taking taylor expansion of 1/2 in y
0.096 * [backup-simplify]: Simplify 1/2 into 1/2
0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.101 * [taylor]: Taking taylor expansion of x in y
0.101 * [backup-simplify]: Simplify x into x
0.101 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.101 * [taylor]: Taking taylor expansion of y in y
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (* 1 1) into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.102 * [backup-simplify]: Simplify (+ 0 1) into 1
0.102 * [backup-simplify]: Simplify (sqrt 1) into 1
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.105 * [backup-simplify]: Simplify (+ 1 0) into 1
0.105 * [backup-simplify]: Simplify (sqrt 1) into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.107 * [taylor]: Taking taylor expansion of x in x
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.108 * [backup-simplify]: Simplify (+ 1 0) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.110 * [taylor]: Taking taylor expansion of 1 in y
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.112 * [taylor]: Taking taylor expansion of 1/2 in y
0.112 * [backup-simplify]: Simplify 1/2 into 1/2
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.112 * [taylor]: Taking taylor expansion of y in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.117 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.118 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.118 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.118 * [taylor]: Taking taylor expansion of x in y
0.118 * [backup-simplify]: Simplify x into x
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.118 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [taylor]: Taking taylor expansion of 0 in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.119 * [backup-simplify]: Simplify (+ 1 0) into 1
0.119 * [taylor]: Taking taylor expansion of 1 in y
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (* 1 1) into 1
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [taylor]: Taking taylor expansion of 0 in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [taylor]: Taking taylor expansion of 0 in y
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.123 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.124 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.124 * [taylor]: Taking taylor expansion of x in y
0.124 * [backup-simplify]: Simplify x into x
0.124 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.124 * [taylor]: Taking taylor expansion of y in y
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.124 * [taylor]: Taking taylor expansion of x in x
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (* 1 1) into 1
0.125 * [backup-simplify]: Simplify (/ 1 1) into 1
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.125 * [taylor]: Taking taylor expansion of y in x
0.125 * [backup-simplify]: Simplify y into y
0.125 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.125 * [taylor]: Taking taylor expansion of x in x
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.126 * [taylor]: Taking taylor expansion of y in x
0.126 * [backup-simplify]: Simplify y into y
0.126 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.126 * [backup-simplify]: Simplify (+ 1 0) into 1
0.126 * [taylor]: Taking taylor expansion of 1 in y
0.126 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.129 * [taylor]: Taking taylor expansion of y in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ 1 1) into 1
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.138 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.138 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.139 * [taylor]: Taking taylor expansion of x in y
0.139 * [backup-simplify]: Simplify x into x
0.139 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify (/ 1 1) into 1
0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.141 * [taylor]: Taking taylor expansion of y in x
0.141 * [backup-simplify]: Simplify y into y
0.141 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.142 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.142 * [taylor]: Taking taylor expansion of x in x
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.143 * [backup-simplify]: Simplify (/ 1 1) into 1
0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.143 * [taylor]: Taking taylor expansion of y in x
0.143 * [backup-simplify]: Simplify y into y
0.143 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.143 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.144 * [backup-simplify]: Simplify (+ 1 0) into 1
0.144 * [taylor]: Taking taylor expansion of 1 in y
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [taylor]: Taking taylor expansion of 0 in y
0.146 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.148 * [taylor]: Taking taylor expansion of y in y
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (* 1 1) into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [taylor]: Taking taylor expansion of 0 in y
0.152 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.160 * * * [progress]: simplifying candidates
0.161 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.162 * * [simplify]: Extracting # 0 : cost  0
0.162 * * [simplify]: Extracting # 1 : cost  0
0.162 * * [simplify]: Extracting # 2 : cost  0
0.162 * * [simplify]: Extracting # 3 : cost  0
0.163 * * [simplify]: Extracting # 4 : cost  0
0.163 * * [simplify]: Extracting # 5 : cost  0
0.163 * * [simplify]: iteration  0 :  48  enodes  (cost  379 )
0.187 * * [simplify]: Extracting # 0 : cost  0
0.187 * * [simplify]: Extracting # 1 : cost  0
0.188 * * [simplify]: Extracting # 2 : cost  0
0.188 * * [simplify]: Extracting # 3 : cost  0
0.188 * * [simplify]: Extracting # 4 : cost  0
0.189 * * [simplify]: iteration  1 :  143  enodes  (cost  347 )
0.250 * * [simplify]: Extracting # 0 : cost  0
0.251 * * [simplify]: Extracting # 1 : cost  0
0.251 * * [simplify]: Extracting # 2 : cost  0
0.252 * * [simplify]: Extracting # 3 : cost  0
0.257 * * [simplify]: Extracting # 4 : cost  0
0.258 * * [simplify]: iteration  2 :  758  enodes  (cost  295 )
0.629 * * [simplify]: Extracting # 0 : cost  0
0.642 * * [simplify]: Extracting # 1 : cost  0
0.651 * * [simplify]: Extracting # 2 : cost  0
0.658 * * [simplify]: Extracting # 3 : cost  0
0.665 * * [simplify]: Extracting # 4 : cost  0
0.673 * * [simplify]: iteration done:  5000  enodes  (cost  295 )
0.673 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
0.673 * * * [progress]: adding candidates to table
0.766 * * [progress]: iteration 2 / 4
0.766 * * * [progress]: picking best candidate
0.773 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.773 * * * [progress]: localizing error
0.792 * * * [progress]: generating rewritten candidates
0.792 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.807 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
0.938 * * * [progress]: generating series expansions
0.938 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.938 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.938 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.938 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.938 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.938 * [taylor]: Taking taylor expansion of x in y
0.938 * [backup-simplify]: Simplify x into x
0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.938 * [taylor]: Taking taylor expansion of y in y
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify 1 into 1
0.939 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.939 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.939 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.939 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.940 * [backup-simplify]: Simplify (+ 0 0) into 0
0.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.940 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.940 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.940 * [taylor]: Taking taylor expansion of x in x
0.940 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify 1 into 1
0.940 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.940 * [taylor]: Taking taylor expansion of y in x
0.940 * [backup-simplify]: Simplify y into y
0.940 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.940 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.940 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.940 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.941 * [backup-simplify]: Simplify (+ 0 0) into 0
0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.941 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.941 * [taylor]: Taking taylor expansion of x in x
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify 1 into 1
0.941 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.941 * [taylor]: Taking taylor expansion of y in x
0.941 * [backup-simplify]: Simplify y into y
0.941 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.941 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.941 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.941 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.942 * [backup-simplify]: Simplify (+ 0 0) into 0
0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.942 * [taylor]: Taking taylor expansion of y in y
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 1 into 1
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in y
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 1 into 1
0.942 * [backup-simplify]: Simplify (* 1 1) into 1
0.942 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.943 * [backup-simplify]: Simplify (+ 1 0) into 1
0.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.943 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.943 * [taylor]: Taking taylor expansion of 1/2 in y
0.943 * [backup-simplify]: Simplify 1/2 into 1/2
0.943 * [taylor]: Taking taylor expansion of y in y
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify 1 into 1
0.944 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.945 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.945 * [backup-simplify]: Simplify (+ 0 0) into 0
0.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.946 * [taylor]: Taking taylor expansion of 0 in y
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.946 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.946 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.947 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.947 * [taylor]: Taking taylor expansion of x in y
0.947 * [backup-simplify]: Simplify x into x
0.947 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.947 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.947 * [taylor]: Taking taylor expansion of y in y
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 1 into 1
0.947 * [backup-simplify]: Simplify (* 1 1) into 1
0.947 * [backup-simplify]: Simplify (/ 1 1) into 1
0.948 * [backup-simplify]: Simplify (+ 0 1) into 1
0.949 * [backup-simplify]: Simplify (sqrt 1) into 1
0.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.950 * [backup-simplify]: Simplify (+ 0 0) into 0
0.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.950 * [taylor]: Taking taylor expansion of x in x
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 1 into 1
0.951 * [backup-simplify]: Simplify (* 1 1) into 1
0.951 * [backup-simplify]: Simplify (/ 1 1) into 1
0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.951 * [taylor]: Taking taylor expansion of y in x
0.951 * [backup-simplify]: Simplify y into y
0.951 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.952 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.952 * [backup-simplify]: Simplify (+ 1 0) into 1
0.952 * [backup-simplify]: Simplify (sqrt 1) into 1
0.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.954 * [backup-simplify]: Simplify (+ 0 0) into 0
0.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.955 * [taylor]: Taking taylor expansion of x in x
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify (* 1 1) into 1
0.956 * [backup-simplify]: Simplify (/ 1 1) into 1
0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.956 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.956 * [taylor]: Taking taylor expansion of y in x
0.956 * [backup-simplify]: Simplify y into y
0.956 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.956 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.956 * [backup-simplify]: Simplify (+ 1 0) into 1
0.957 * [backup-simplify]: Simplify (sqrt 1) into 1
0.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.958 * [backup-simplify]: Simplify (+ 0 0) into 0
0.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.959 * [taylor]: Taking taylor expansion of 1 in y
0.959 * [backup-simplify]: Simplify 1 into 1
0.959 * [taylor]: Taking taylor expansion of 0 in y
0.959 * [backup-simplify]: Simplify 0 into 0
0.959 * [backup-simplify]: Simplify 1 into 1
0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.961 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.962 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.963 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.963 * [taylor]: Taking taylor expansion of 1/2 in y
0.963 * [backup-simplify]: Simplify 1/2 into 1/2
0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.963 * [taylor]: Taking taylor expansion of y in y
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 1 into 1
0.963 * [backup-simplify]: Simplify (* 1 1) into 1
0.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.966 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.966 * [backup-simplify]: Simplify (+ 0 0) into 0
0.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.967 * [taylor]: Taking taylor expansion of 0 in y
0.967 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.968 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.968 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.968 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.968 * [taylor]: Taking taylor expansion of x in y
0.968 * [backup-simplify]: Simplify x into x
0.968 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.969 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.969 * [taylor]: Taking taylor expansion of y in y
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify 1 into 1
0.969 * [backup-simplify]: Simplify (* 1 1) into 1
0.969 * [backup-simplify]: Simplify (/ 1 1) into 1
0.969 * [backup-simplify]: Simplify (+ 0 1) into 1
0.970 * [backup-simplify]: Simplify (sqrt 1) into 1
0.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.971 * [backup-simplify]: Simplify (+ 0 0) into 0
0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.971 * [taylor]: Taking taylor expansion of x in x
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 1 into 1
0.971 * [backup-simplify]: Simplify (* 1 1) into 1
0.972 * [backup-simplify]: Simplify (/ 1 1) into 1
0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.972 * [taylor]: Taking taylor expansion of y in x
0.972 * [backup-simplify]: Simplify y into y
0.972 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.972 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.972 * [backup-simplify]: Simplify (+ 1 0) into 1
0.973 * [backup-simplify]: Simplify (sqrt 1) into 1
0.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.974 * [backup-simplify]: Simplify (+ 0 0) into 0
0.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.974 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.974 * [taylor]: Taking taylor expansion of x in x
0.974 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify 1 into 1
0.974 * [backup-simplify]: Simplify (* 1 1) into 1
0.975 * [backup-simplify]: Simplify (/ 1 1) into 1
0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.975 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.975 * [taylor]: Taking taylor expansion of y in x
0.975 * [backup-simplify]: Simplify y into y
0.975 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.975 * [backup-simplify]: Simplify (+ 1 0) into 1
0.975 * [backup-simplify]: Simplify (sqrt 1) into 1
0.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.977 * [backup-simplify]: Simplify (+ 0 0) into 0
0.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.977 * [taylor]: Taking taylor expansion of 1 in y
0.977 * [backup-simplify]: Simplify 1 into 1
0.977 * [taylor]: Taking taylor expansion of 0 in y
0.977 * [backup-simplify]: Simplify 0 into 0
0.977 * [backup-simplify]: Simplify 1 into 1
0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.978 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.983 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.983 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.984 * [taylor]: Taking taylor expansion of 1/2 in y
0.984 * [backup-simplify]: Simplify 1/2 into 1/2
0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.984 * [taylor]: Taking taylor expansion of y in y
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify 1 into 1
0.984 * [backup-simplify]: Simplify (* 1 1) into 1
0.984 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.989 * [backup-simplify]: Simplify (+ 0 0) into 0
0.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.989 * [taylor]: Taking taylor expansion of 0 in y
0.989 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.991 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
0.992 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.992 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.992 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.992 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.992 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.992 * [taylor]: Taking taylor expansion of x in y
0.992 * [backup-simplify]: Simplify x into x
0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.992 * [taylor]: Taking taylor expansion of y in y
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify 1 into 1
0.992 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.992 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.992 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.992 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.993 * [backup-simplify]: Simplify (+ 0 0) into 0
0.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.993 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.993 * [taylor]: Taking taylor expansion of x in x
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.993 * [taylor]: Taking taylor expansion of y in x
0.993 * [backup-simplify]: Simplify y into y
0.993 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.993 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.993 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.993 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.994 * [backup-simplify]: Simplify (+ 0 0) into 0
0.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.994 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.994 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.994 * [taylor]: Taking taylor expansion of x in x
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify 1 into 1
0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.994 * [taylor]: Taking taylor expansion of y in x
0.994 * [backup-simplify]: Simplify y into y
0.994 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.994 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.995 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.995 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.995 * [backup-simplify]: Simplify (+ 0 0) into 0
0.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.995 * [taylor]: Taking taylor expansion of y in y
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify 1 into 1
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [taylor]: Taking taylor expansion of 0 in y
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify 1 into 1
0.996 * [backup-simplify]: Simplify (* 1 1) into 1
0.996 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.997 * [backup-simplify]: Simplify (+ 1 0) into 1
0.997 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.998 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.998 * [taylor]: Taking taylor expansion of 1/2 in y
0.998 * [backup-simplify]: Simplify 1/2 into 1/2
0.998 * [taylor]: Taking taylor expansion of y in y
0.998 * [backup-simplify]: Simplify 0 into 0
0.998 * [backup-simplify]: Simplify 1 into 1
0.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.000 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.001 * [backup-simplify]: Simplify (+ 0 0) into 0
1.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.001 * [taylor]: Taking taylor expansion of 0 in y
1.001 * [backup-simplify]: Simplify 0 into 0
1.001 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.002 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.002 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.002 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.002 * [taylor]: Taking taylor expansion of x in y
1.002 * [backup-simplify]: Simplify x into x
1.002 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.003 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.003 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.003 * [taylor]: Taking taylor expansion of y in y
1.003 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify 1 into 1
1.003 * [backup-simplify]: Simplify (* 1 1) into 1
1.003 * [backup-simplify]: Simplify (/ 1 1) into 1
1.004 * [backup-simplify]: Simplify (+ 0 1) into 1
1.004 * [backup-simplify]: Simplify (sqrt 1) into 1
1.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (+ 0 0) into 0
1.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.007 * [taylor]: Taking taylor expansion of x in x
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify 1 into 1
1.007 * [backup-simplify]: Simplify (* 1 1) into 1
1.007 * [backup-simplify]: Simplify (/ 1 1) into 1
1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.007 * [taylor]: Taking taylor expansion of y in x
1.007 * [backup-simplify]: Simplify y into y
1.007 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.008 * [backup-simplify]: Simplify (+ 1 0) into 1
1.008 * [backup-simplify]: Simplify (sqrt 1) into 1
1.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.010 * [backup-simplify]: Simplify (+ 0 0) into 0
1.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.011 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.011 * [taylor]: Taking taylor expansion of x in x
1.011 * [backup-simplify]: Simplify 0 into 0
1.011 * [backup-simplify]: Simplify 1 into 1
1.012 * [backup-simplify]: Simplify (* 1 1) into 1
1.012 * [backup-simplify]: Simplify (/ 1 1) into 1
1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.012 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.012 * [taylor]: Taking taylor expansion of y in x
1.012 * [backup-simplify]: Simplify y into y
1.012 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.013 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.013 * [backup-simplify]: Simplify (+ 1 0) into 1
1.014 * [backup-simplify]: Simplify (sqrt 1) into 1
1.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.015 * [backup-simplify]: Simplify (+ 0 0) into 0
1.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.016 * [taylor]: Taking taylor expansion of 1 in y
1.016 * [backup-simplify]: Simplify 1 into 1
1.016 * [taylor]: Taking taylor expansion of 0 in y
1.016 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify 1 into 1
1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.019 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.020 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.020 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.020 * [taylor]: Taking taylor expansion of 1/2 in y
1.020 * [backup-simplify]: Simplify 1/2 into 1/2
1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.020 * [taylor]: Taking taylor expansion of y in y
1.020 * [backup-simplify]: Simplify 0 into 0
1.020 * [backup-simplify]: Simplify 1 into 1
1.020 * [backup-simplify]: Simplify (* 1 1) into 1
1.021 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.023 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.024 * [backup-simplify]: Simplify (+ 0 0) into 0
1.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.024 * [taylor]: Taking taylor expansion of 0 in y
1.024 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.026 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.026 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.027 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.027 * [taylor]: Taking taylor expansion of x in y
1.027 * [backup-simplify]: Simplify x into x
1.027 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.027 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.027 * [taylor]: Taking taylor expansion of y in y
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify 1 into 1
1.027 * [backup-simplify]: Simplify (* 1 1) into 1
1.028 * [backup-simplify]: Simplify (/ 1 1) into 1
1.028 * [backup-simplify]: Simplify (+ 0 1) into 1
1.029 * [backup-simplify]: Simplify (sqrt 1) into 1
1.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.031 * [backup-simplify]: Simplify (+ 0 0) into 0
1.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.032 * [taylor]: Taking taylor expansion of x in x
1.032 * [backup-simplify]: Simplify 0 into 0
1.032 * [backup-simplify]: Simplify 1 into 1
1.032 * [backup-simplify]: Simplify (* 1 1) into 1
1.032 * [backup-simplify]: Simplify (/ 1 1) into 1
1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.032 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.032 * [taylor]: Taking taylor expansion of y in x
1.033 * [backup-simplify]: Simplify y into y
1.033 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.033 * [backup-simplify]: Simplify (+ 1 0) into 1
1.034 * [backup-simplify]: Simplify (sqrt 1) into 1
1.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.036 * [backup-simplify]: Simplify (+ 0 0) into 0
1.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.037 * [taylor]: Taking taylor expansion of x in x
1.037 * [backup-simplify]: Simplify 0 into 0
1.037 * [backup-simplify]: Simplify 1 into 1
1.037 * [backup-simplify]: Simplify (* 1 1) into 1
1.037 * [backup-simplify]: Simplify (/ 1 1) into 1
1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.038 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.038 * [taylor]: Taking taylor expansion of y in x
1.038 * [backup-simplify]: Simplify y into y
1.038 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.038 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.038 * [backup-simplify]: Simplify (+ 1 0) into 1
1.039 * [backup-simplify]: Simplify (sqrt 1) into 1
1.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.041 * [backup-simplify]: Simplify (+ 0 0) into 0
1.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.041 * [taylor]: Taking taylor expansion of 1 in y
1.042 * [backup-simplify]: Simplify 1 into 1
1.042 * [taylor]: Taking taylor expansion of 0 in y
1.042 * [backup-simplify]: Simplify 0 into 0
1.042 * [backup-simplify]: Simplify 1 into 1
1.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.045 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.045 * [taylor]: Taking taylor expansion of 1/2 in y
1.045 * [backup-simplify]: Simplify 1/2 into 1/2
1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.045 * [taylor]: Taking taylor expansion of y in y
1.045 * [backup-simplify]: Simplify 0 into 0
1.045 * [backup-simplify]: Simplify 1 into 1
1.045 * [backup-simplify]: Simplify (* 1 1) into 1
1.046 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.047 * [backup-simplify]: Simplify 0 into 0
1.047 * [backup-simplify]: Simplify 0 into 0
1.047 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.050 * [backup-simplify]: Simplify (+ 0 0) into 0
1.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.050 * [taylor]: Taking taylor expansion of 0 in y
1.050 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.051 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.052 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2)))
1.052 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.052 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.052 * [taylor]: Taking taylor expansion of x in y
1.052 * [backup-simplify]: Simplify x into x
1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.052 * [taylor]: Taking taylor expansion of y in y
1.052 * [backup-simplify]: Simplify 0 into 0
1.052 * [backup-simplify]: Simplify 1 into 1
1.052 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.052 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.052 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.052 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.052 * [backup-simplify]: Simplify (+ 0 0) into 0
1.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.052 * [taylor]: Taking taylor expansion of x in x
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify 1 into 1
1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.053 * [taylor]: Taking taylor expansion of y in x
1.053 * [backup-simplify]: Simplify y into y
1.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.053 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.053 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.053 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.053 * [backup-simplify]: Simplify (+ 0 0) into 0
1.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.053 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.053 * [taylor]: Taking taylor expansion of x in x
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify 1 into 1
1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.053 * [taylor]: Taking taylor expansion of y in x
1.053 * [backup-simplify]: Simplify y into y
1.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.054 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.054 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.054 * [backup-simplify]: Simplify (+ 0 0) into 0
1.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.054 * [taylor]: Taking taylor expansion of y in y
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 1 into 1
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [taylor]: Taking taylor expansion of 0 in y
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 1 into 1
1.055 * [backup-simplify]: Simplify (* 1 1) into 1
1.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.055 * [backup-simplify]: Simplify (+ 1 0) into 1
1.056 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.056 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.056 * [taylor]: Taking taylor expansion of 1/2 in y
1.056 * [backup-simplify]: Simplify 1/2 into 1/2
1.056 * [taylor]: Taking taylor expansion of y in y
1.056 * [backup-simplify]: Simplify 0 into 0
1.056 * [backup-simplify]: Simplify 1 into 1
1.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.056 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.058 * [backup-simplify]: Simplify (+ 0 0) into 0
1.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.058 * [taylor]: Taking taylor expansion of 0 in y
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.059 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.059 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.059 * [taylor]: Taking taylor expansion of x in y
1.059 * [backup-simplify]: Simplify x into x
1.059 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.059 * [taylor]: Taking taylor expansion of y in y
1.059 * [backup-simplify]: Simplify 0 into 0
1.059 * [backup-simplify]: Simplify 1 into 1
1.059 * [backup-simplify]: Simplify (* 1 1) into 1
1.060 * [backup-simplify]: Simplify (/ 1 1) into 1
1.060 * [backup-simplify]: Simplify (+ 0 1) into 1
1.060 * [backup-simplify]: Simplify (sqrt 1) into 1
1.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.061 * [backup-simplify]: Simplify (+ 0 0) into 0
1.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.062 * [taylor]: Taking taylor expansion of x in x
1.062 * [backup-simplify]: Simplify 0 into 0
1.062 * [backup-simplify]: Simplify 1 into 1
1.062 * [backup-simplify]: Simplify (* 1 1) into 1
1.062 * [backup-simplify]: Simplify (/ 1 1) into 1
1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.062 * [taylor]: Taking taylor expansion of y in x
1.062 * [backup-simplify]: Simplify y into y
1.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.063 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.063 * [backup-simplify]: Simplify (+ 1 0) into 1
1.063 * [backup-simplify]: Simplify (sqrt 1) into 1
1.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.064 * [backup-simplify]: Simplify (+ 0 0) into 0
1.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.065 * [taylor]: Taking taylor expansion of x in x
1.065 * [backup-simplify]: Simplify 0 into 0
1.065 * [backup-simplify]: Simplify 1 into 1
1.065 * [backup-simplify]: Simplify (* 1 1) into 1
1.065 * [backup-simplify]: Simplify (/ 1 1) into 1
1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.065 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.065 * [taylor]: Taking taylor expansion of y in x
1.065 * [backup-simplify]: Simplify y into y
1.065 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.066 * [backup-simplify]: Simplify (+ 1 0) into 1
1.066 * [backup-simplify]: Simplify (sqrt 1) into 1
1.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.067 * [backup-simplify]: Simplify (+ 0 0) into 0
1.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.067 * [taylor]: Taking taylor expansion of 1 in y
1.067 * [backup-simplify]: Simplify 1 into 1
1.067 * [taylor]: Taking taylor expansion of 0 in y
1.068 * [backup-simplify]: Simplify 0 into 0
1.068 * [backup-simplify]: Simplify 1 into 1
1.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.069 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.070 * [taylor]: Taking taylor expansion of 1/2 in y
1.070 * [backup-simplify]: Simplify 1/2 into 1/2
1.070 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.070 * [taylor]: Taking taylor expansion of y in y
1.070 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify 1 into 1
1.070 * [backup-simplify]: Simplify (* 1 1) into 1
1.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.071 * [backup-simplify]: Simplify 0 into 0
1.071 * [backup-simplify]: Simplify 0 into 0
1.071 * [backup-simplify]: Simplify 0 into 0
1.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.073 * [backup-simplify]: Simplify (+ 0 0) into 0
1.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.073 * [taylor]: Taking taylor expansion of 0 in y
1.073 * [backup-simplify]: Simplify 0 into 0
1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.075 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.075 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.075 * [taylor]: Taking taylor expansion of x in y
1.075 * [backup-simplify]: Simplify x into x
1.075 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.075 * [taylor]: Taking taylor expansion of y in y
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 1 into 1
1.076 * [backup-simplify]: Simplify (* 1 1) into 1
1.076 * [backup-simplify]: Simplify (/ 1 1) into 1
1.076 * [backup-simplify]: Simplify (+ 0 1) into 1
1.076 * [backup-simplify]: Simplify (sqrt 1) into 1
1.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.078 * [backup-simplify]: Simplify (+ 0 0) into 0
1.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.079 * [taylor]: Taking taylor expansion of x in x
1.079 * [backup-simplify]: Simplify 0 into 0
1.079 * [backup-simplify]: Simplify 1 into 1
1.079 * [backup-simplify]: Simplify (* 1 1) into 1
1.080 * [backup-simplify]: Simplify (/ 1 1) into 1
1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.080 * [taylor]: Taking taylor expansion of y in x
1.080 * [backup-simplify]: Simplify y into y
1.080 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.081 * [backup-simplify]: Simplify (+ 1 0) into 1
1.081 * [backup-simplify]: Simplify (sqrt 1) into 1
1.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.083 * [backup-simplify]: Simplify (+ 0 0) into 0
1.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.084 * [taylor]: Taking taylor expansion of x in x
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 1 into 1
1.084 * [backup-simplify]: Simplify (* 1 1) into 1
1.084 * [backup-simplify]: Simplify (/ 1 1) into 1
1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.084 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.084 * [taylor]: Taking taylor expansion of y in x
1.085 * [backup-simplify]: Simplify y into y
1.085 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.085 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.085 * [backup-simplify]: Simplify (+ 1 0) into 1
1.085 * [backup-simplify]: Simplify (sqrt 1) into 1
1.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.087 * [backup-simplify]: Simplify (+ 0 0) into 0
1.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.088 * [taylor]: Taking taylor expansion of 1 in y
1.088 * [backup-simplify]: Simplify 1 into 1
1.088 * [taylor]: Taking taylor expansion of 0 in y
1.088 * [backup-simplify]: Simplify 0 into 0
1.088 * [backup-simplify]: Simplify 1 into 1
1.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.090 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.091 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.091 * [taylor]: Taking taylor expansion of 1/2 in y
1.091 * [backup-simplify]: Simplify 1/2 into 1/2
1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.091 * [taylor]: Taking taylor expansion of y in y
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify 1 into 1
1.092 * [backup-simplify]: Simplify (* 1 1) into 1
1.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 0 into 0
1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.095 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.096 * [backup-simplify]: Simplify (+ 0 0) into 0
1.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.097 * [taylor]: Taking taylor expansion of 0 in y
1.097 * [backup-simplify]: Simplify 0 into 0
1.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.098 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.098 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.098 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
1.098 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
1.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.098 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.098 * [taylor]: Taking taylor expansion of x in y
1.098 * [backup-simplify]: Simplify x into x
1.098 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.098 * [taylor]: Taking taylor expansion of y in y
1.098 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify 1 into 1
1.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.098 * [taylor]: Taking taylor expansion of x in x
1.098 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify 1 into 1
1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.098 * [taylor]: Taking taylor expansion of y in x
1.098 * [backup-simplify]: Simplify y into y
1.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.098 * [taylor]: Taking taylor expansion of x in x
1.098 * [backup-simplify]: Simplify 0 into 0
1.098 * [backup-simplify]: Simplify 1 into 1
1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.098 * [taylor]: Taking taylor expansion of y in x
1.098 * [backup-simplify]: Simplify y into y
1.099 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.099 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.099 * [taylor]: Taking taylor expansion of y in y
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify 1 into 1
1.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.099 * [backup-simplify]: Simplify (+ 0 0) into 0
1.099 * [taylor]: Taking taylor expansion of 0 in y
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify (* 1 1) into 1
1.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.100 * [backup-simplify]: Simplify (+ 1 0) into 1
1.100 * [taylor]: Taking taylor expansion of 1 in y
1.100 * [backup-simplify]: Simplify 1 into 1
1.100 * [backup-simplify]: Simplify 1 into 1
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify (* 1 1) into 1
1.100 * [backup-simplify]: Simplify 1 into 1
1.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.101 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.101 * [backup-simplify]: Simplify (+ 0 0) into 0
1.101 * [taylor]: Taking taylor expansion of 0 in y
1.101 * [backup-simplify]: Simplify 0 into 0
1.101 * [backup-simplify]: Simplify 0 into 0
1.101 * [backup-simplify]: Simplify 0 into 0
1.102 * [backup-simplify]: Simplify 0 into 0
1.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.102 * [backup-simplify]: Simplify 0 into 0
1.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.103 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.103 * [backup-simplify]: Simplify (+ 0 0) into 0
1.103 * [taylor]: Taking taylor expansion of 0 in y
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 0 into 0
1.104 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
1.104 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.104 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.104 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.104 * [taylor]: Taking taylor expansion of x in y
1.104 * [backup-simplify]: Simplify x into x
1.104 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.104 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.104 * [taylor]: Taking taylor expansion of y in y
1.104 * [backup-simplify]: Simplify 0 into 0
1.104 * [backup-simplify]: Simplify 1 into 1
1.104 * [backup-simplify]: Simplify (* 1 1) into 1
1.105 * [backup-simplify]: Simplify (/ 1 1) into 1
1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.105 * [taylor]: Taking taylor expansion of x in x
1.105 * [backup-simplify]: Simplify 0 into 0
1.105 * [backup-simplify]: Simplify 1 into 1
1.105 * [backup-simplify]: Simplify (* 1 1) into 1
1.108 * [backup-simplify]: Simplify (/ 1 1) into 1
1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.108 * [taylor]: Taking taylor expansion of y in x
1.108 * [backup-simplify]: Simplify y into y
1.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.108 * [taylor]: Taking taylor expansion of x in x
1.108 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify 1 into 1
1.109 * [backup-simplify]: Simplify (* 1 1) into 1
1.109 * [backup-simplify]: Simplify (/ 1 1) into 1
1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.109 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.109 * [taylor]: Taking taylor expansion of y in x
1.109 * [backup-simplify]: Simplify y into y
1.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.110 * [backup-simplify]: Simplify (+ 1 0) into 1
1.110 * [taylor]: Taking taylor expansion of 1 in y
1.110 * [backup-simplify]: Simplify 1 into 1
1.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.111 * [backup-simplify]: Simplify (+ 0 0) into 0
1.111 * [taylor]: Taking taylor expansion of 0 in y
1.111 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.112 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.112 * [taylor]: Taking taylor expansion of y in y
1.112 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify 1 into 1
1.113 * [backup-simplify]: Simplify (* 1 1) into 1
1.113 * [backup-simplify]: Simplify (/ 1 1) into 1
1.113 * [backup-simplify]: Simplify 1 into 1
1.113 * [backup-simplify]: Simplify 1 into 1
1.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.115 * [backup-simplify]: Simplify (+ 0 0) into 0
1.115 * [taylor]: Taking taylor expansion of 0 in y
1.115 * [backup-simplify]: Simplify 0 into 0
1.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.118 * [backup-simplify]: Simplify (+ 0 0) into 0
1.118 * [taylor]: Taking taylor expansion of 0 in y
1.118 * [backup-simplify]: Simplify 0 into 0
1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.119 * [backup-simplify]: Simplify 0 into 0
1.119 * [backup-simplify]: Simplify 0 into 0
1.119 * [backup-simplify]: Simplify 0 into 0
1.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
1.120 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.120 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.120 * [taylor]: Taking taylor expansion of x in y
1.120 * [backup-simplify]: Simplify x into x
1.120 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.120 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.120 * [taylor]: Taking taylor expansion of y in y
1.120 * [backup-simplify]: Simplify 0 into 0
1.120 * [backup-simplify]: Simplify 1 into 1
1.120 * [backup-simplify]: Simplify (* 1 1) into 1
1.120 * [backup-simplify]: Simplify (/ 1 1) into 1
1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.121 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.121 * [taylor]: Taking taylor expansion of x in x
1.121 * [backup-simplify]: Simplify 0 into 0
1.121 * [backup-simplify]: Simplify 1 into 1
1.121 * [backup-simplify]: Simplify (* 1 1) into 1
1.121 * [backup-simplify]: Simplify (/ 1 1) into 1
1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.121 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.121 * [taylor]: Taking taylor expansion of y in x
1.121 * [backup-simplify]: Simplify y into y
1.121 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.121 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.121 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.122 * [taylor]: Taking taylor expansion of x in x
1.122 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify 1 into 1
1.122 * [backup-simplify]: Simplify (* 1 1) into 1
1.122 * [backup-simplify]: Simplify (/ 1 1) into 1
1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.122 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.122 * [taylor]: Taking taylor expansion of y in x
1.122 * [backup-simplify]: Simplify y into y
1.122 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.123 * [backup-simplify]: Simplify (+ 1 0) into 1
1.123 * [taylor]: Taking taylor expansion of 1 in y
1.123 * [backup-simplify]: Simplify 1 into 1
1.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.124 * [backup-simplify]: Simplify (+ 0 0) into 0
1.124 * [taylor]: Taking taylor expansion of 0 in y
1.124 * [backup-simplify]: Simplify 0 into 0
1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.126 * [taylor]: Taking taylor expansion of y in y
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 1 into 1
1.126 * [backup-simplify]: Simplify (* 1 1) into 1
1.127 * [backup-simplify]: Simplify (/ 1 1) into 1
1.127 * [backup-simplify]: Simplify 1 into 1
1.127 * [backup-simplify]: Simplify 1 into 1
1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.130 * [backup-simplify]: Simplify (+ 0 0) into 0
1.130 * [taylor]: Taking taylor expansion of 0 in y
1.130 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.131 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 0 into 0
1.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.135 * [backup-simplify]: Simplify (+ 0 0) into 0
1.135 * [taylor]: Taking taylor expansion of 0 in y
1.135 * [backup-simplify]: Simplify 0 into 0
1.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.138 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
1.138 * * * [progress]: simplifying candidates
1.142 * [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)))))
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  (sqrt 1)
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  (/ 1 2)
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  (+ 1 1)
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  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* 2 1/2)
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  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
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  (+ (pow x 2) (pow y 2))
1.149 * * [simplify]: Extracting # 0 : cost  0
1.149 * * [simplify]: Extracting # 1 : cost  0
1.149 * * [simplify]: Extracting # 2 : cost  0
1.150 * * [simplify]: Extracting # 3 : cost  0
1.150 * * [simplify]: Extracting # 4 : cost  0
1.150 * * [simplify]: Extracting # 5 : cost  0
1.150 * * [simplify]: Extracting # 6 : cost  0
1.151 * * [simplify]: iteration  0 :  121  enodes  (cost  2803 )
1.198 * * [simplify]: Extracting # 0 : cost  0
1.198 * * [simplify]: Extracting # 1 : cost  0
1.199 * * [simplify]: Extracting # 2 : cost  0
1.199 * * [simplify]: Extracting # 3 : cost  0
1.199 * * [simplify]: Extracting # 4 : cost  0
1.199 * * [simplify]: iteration  1 :  293  enodes  (cost  1770 )
1.387 * * [simplify]: Extracting # 0 : cost  0
1.390 * * [simplify]: Extracting # 1 : cost  0
1.394 * * [simplify]: Extracting # 2 : cost  0
1.396 * * [simplify]: Extracting # 3 : cost  0
1.399 * * [simplify]: Extracting # 4 : cost  0
1.402 * * [simplify]: Extracting # 5 : cost  0
1.404 * * [simplify]: iteration  2 :  1403  enodes  (cost  1533 )
2.198 * * [simplify]: Extracting # 0 : cost  0
2.216 * * [simplify]: Extracting # 1 : cost  0
2.222 * * [simplify]: Extracting # 2 : cost  0
2.228 * * [simplify]: Extracting # 3 : cost  0
2.238 * * [simplify]: Extracting # 4 : cost  0
2.245 * * [simplify]: iteration done:  5001  enodes  (cost  1506 )
2.245 * [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)))))
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  1
  (sqrt (+ (* y y) (* x x)))
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  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
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  1
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  1/2
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  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* y y) (* x x))
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  2
  (log (sqrt (+ (* x x) (* y y))))
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  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
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  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
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  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
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  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
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  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  2
  1/2
  1
  1/2
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  (sqrt (+ (* y y) (* x x)))
  (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))))
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  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* y y) (* x x)) 3)
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
2.246 * * * [progress]: adding candidates to table
2.528 * * [progress]: iteration 3 / 4
2.528 * * * [progress]: picking best candidate
2.533 * * * * [pick]: Picked  #<alt (λ (x y) x)>
2.533 * * * [progress]: localizing error
2.535 * * * [progress]: generating rewritten candidates
2.535 * * * [progress]: generating series expansions
2.535 * * * [progress]: simplifying candidates
2.535 * [simplify]: Simplifying:
  
2.535 * * [simplify]: Extracting # 0 : cost  0
2.535 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
2.535 * * [simplify]: Extracting # 0 : cost  0
2.535 * * [simplify]: iteration done:  0  enodes  (cost  0 )
2.535 * [simplify]: Simplified to:
  
2.535 * * * [progress]: adding candidates to table
2.536 * * [progress]: iteration 4 / 4
2.536 * * * [progress]: picking best candidate
2.539 * * * * [pick]: Picked  #<alt (λ (x y) (- x))>
2.539 * * * [progress]: localizing error
2.543 * * * [progress]: generating rewritten candidates
2.543 * * * [progress]: generating series expansions
2.543 * * * [progress]: simplifying candidates
2.543 * [simplify]: Simplifying:
  
2.543 * * [simplify]: Extracting # 0 : cost  0
2.543 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
2.543 * * [simplify]: Extracting # 0 : cost  0
2.543 * * [simplify]: iteration done:  0  enodes  (cost  0 )
2.543 * [simplify]: Simplified to:
  
2.543 * * * [progress]: adding candidates to table
2.544 * [progress]: [Phase 3 of 3] Extracting.
2.544 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.544 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
2.544 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.576 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.596 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.615 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.631 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.650 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.663 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.702 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.717 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.751 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.780 * * * [regime]: Found split indices: #<option (#s(si 2 39) #s(si 4 205) #s(si 3 255))>
2.781 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.845 * [regimes]: Found splitpoints: (#s(sp 2 x -1.1785944497771992e+109) #s(sp 4 x 1.8767613226768584e+119) #s(sp 3 x +nan.0)) , with alts (#<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (- x))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.845 * [simplify]: Simplifying:
  (if (<= x -1.1785944497771992e+109) (- x) (if (<= x 1.8767613226768584e+119) (sqrt (+ (* x x) (* y y))) x))
2.845 * * [simplify]: Extracting # 0 : cost  0
2.845 * * [simplify]: Extracting # 1 : cost  0
2.846 * * [simplify]: Extracting # 2 : cost  0
2.846 * * [simplify]: Extracting # 3 : cost  0
2.846 * * [simplify]: Extracting # 4 : cost  0
2.846 * * [simplify]: Extracting # 5 : cost  0
2.846 * * [simplify]: Extracting # 6 : cost  0
2.846 * * [simplify]: Extracting # 7 : cost  0
2.846 * * [simplify]: Extracting # 8 : cost  0
2.846 * * [simplify]: Extracting # 9 : cost  0
2.846 * * [simplify]: iteration  0 :  13  enodes  (cost  19 )
2.846 * * [simplify]: Extracting # 0 : cost  0
2.846 * * [simplify]: iteration  1 :  14  enodes  (cost  19 )
2.847 * * [simplify]: Extracting # 0 : cost  0
2.847 * * [simplify]: iteration done:  14  enodes  (cost  19 )
2.847 * [simplify]: Simplified to:
  (if (<= x -1.1785944497771992e+109) (- x) (if (<= x 1.8767613226768584e+119) (sqrt (+ (* x x) (* y y))) x))
3.711 * [regime-testing]: Baseline error score: 31.74505198713332
3.714 * [regime-testing]: Oracle error score: 8.0688757688618
3.718 * [regime-testing]: End program error score: 17.810174161379226
3.763 * [regime-testing]: Target error score: 17.877184705929615