7.827 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.034 * [progress]: [Phase 2 of 3] Improving.
0.034 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.035 * * [simplify]: iteration 0: 6 enodes
0.036 * * [simplify]: iteration 1: 7 enodes
0.038 * * [simplify]: iteration complete: 7 enodes
0.038 * * [simplify]: Extracting #0: cost 1 inf + 0
0.038 * * [simplify]: Extracting #1: cost 2 inf + 0
0.038 * * [simplify]: Extracting #2: cost 4 inf + 0
0.038 * * [simplify]: Extracting #3: cost 6 inf + 0
0.038 * * [simplify]: Extracting #4: cost 3 inf + 43
0.039 * * [simplify]: Extracting #5: cost 0 inf + 368
0.039 * [simplify]: Simplified to:
  (sqrt (+ (* x x) (* y y)))
0.040 * * [progress]: iteration 1 / 4
0.040 * * * [progress]: picking best candidate
0.046 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.046 * * * [progress]: localizing error
0.065 * * * [progress]: generating rewritten candidates
0.066 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.078 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.091 * * * [progress]: generating series expansions
0.091 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.091 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
0.091 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.091 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.091 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.092 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.092 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.093 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [backup-simplify]: Simplify y into y
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.093 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.093 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.093 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.094 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.094 * [taylor]: Taking taylor expansion of y in x
0.094 * [backup-simplify]: Simplify y into y
0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.094 * [taylor]: Taking taylor expansion of x in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.094 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.094 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.095 * [taylor]: Taking taylor expansion of y in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (+ 0 1) into 1
0.097 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.097 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.097 * [taylor]: Taking taylor expansion of 1/2 in y
0.098 * [backup-simplify]: Simplify 1/2 into 1/2
0.098 * [taylor]: Taking taylor expansion of y in y
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 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 (* 1 (* y 1)) into y
0.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.102 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.102 * [taylor]: Taking taylor expansion of x in y
0.102 * [backup-simplify]: Simplify x into x
0.102 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.102 * [backup-simplify]: Simplify (+ 1 0) 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
0.104 * [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 y 2)) (/ 1 (pow x 2)))) in x
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.104 * [taylor]: Taking taylor expansion of y in x
0.104 * [backup-simplify]: Simplify y into y
0.104 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
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
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [backup-simplify]: Simplify (+ 0 1) 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 y 2)) (/ 1 (pow x 2)))) in x
0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.107 * [taylor]: Taking taylor expansion of y in x
0.107 * [backup-simplify]: Simplify y into y
0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.107 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
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
0.108 * [backup-simplify]: Simplify (+ 0 1) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.109 * [taylor]: Taking taylor expansion of 1 in y
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [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 (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.111 * [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
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.114 * [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 (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.115 * [taylor]: Taking taylor expansion of 0 in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.117 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.117 * [taylor]: Taking taylor expansion of y in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.117 * [backup-simplify]: Simplify (/ 1 1) into 1
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.117 * [taylor]: Taking taylor expansion of x in y
0.117 * [backup-simplify]: Simplify x into x
0.117 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.118 * [backup-simplify]: Simplify (+ 1 0) into 1
0.118 * [backup-simplify]: Simplify (sqrt 1) into 1
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.129 * [taylor]: Taking taylor expansion of y in x
0.129 * [backup-simplify]: Simplify y into y
0.129 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.129 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.129 * [taylor]: Taking taylor expansion of x in x
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [backup-simplify]: Simplify (+ 0 1) into 1
0.131 * [backup-simplify]: Simplify (sqrt 1) into 1
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.134 * [taylor]: Taking taylor expansion of y in x
0.134 * [backup-simplify]: Simplify y into y
0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.135 * [taylor]: Taking taylor expansion of x in x
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [backup-simplify]: Simplify (+ 0 1) into 1
0.137 * [backup-simplify]: Simplify (sqrt 1) into 1
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.139 * [taylor]: Taking taylor expansion of 1 in y
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of 0 in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.143 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.143 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.143 * [taylor]: Taking taylor expansion of 1/2 in y
0.143 * [backup-simplify]: Simplify 1/2 into 1/2
0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.143 * [taylor]: Taking taylor expansion of y in y
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (* 1 1) into 1
0.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.148 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.148 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.148 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.148 * [taylor]: Taking taylor expansion of x in y
0.148 * [backup-simplify]: Simplify x into x
0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.148 * [taylor]: Taking taylor expansion of y in x
0.148 * [backup-simplify]: Simplify y into y
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.148 * [taylor]: Taking taylor expansion of x in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.148 * [taylor]: Taking taylor expansion of y in x
0.148 * [backup-simplify]: Simplify y into y
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.148 * [taylor]: Taking taylor expansion of x in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.149 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.149 * [taylor]: Taking taylor expansion of y in y
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [taylor]: Taking taylor expansion of 0 in y
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.149 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (+ 0 1) into 1
0.150 * [taylor]: Taking taylor expansion of 1 in y
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.153 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [taylor]: Taking taylor expansion of 0 in y
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.154 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.154 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.154 * [taylor]: Taking taylor expansion of y in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (* 1 1) into 1
0.154 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.154 * [taylor]: Taking taylor expansion of x in y
0.154 * [backup-simplify]: Simplify x into x
0.154 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.154 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.155 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (* 1 1) into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.155 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.155 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify (/ 1 1) into 1
0.156 * [backup-simplify]: Simplify (+ 0 1) into 1
0.156 * [taylor]: Taking taylor expansion of 1 in y
0.156 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.159 * [taylor]: Taking taylor expansion of y in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in y
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.166 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.166 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.166 * [taylor]: Taking taylor expansion of y in y
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.166 * [backup-simplify]: Simplify (/ 1 1) into 1
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.166 * [taylor]: Taking taylor expansion of x in y
0.166 * [backup-simplify]: Simplify x into x
0.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.167 * [taylor]: Taking taylor expansion of y in x
0.167 * [backup-simplify]: Simplify y into y
0.167 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.167 * [taylor]: Taking taylor expansion of x in x
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* 1 1) into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.167 * [taylor]: Taking taylor expansion of y in x
0.167 * [backup-simplify]: Simplify y into y
0.167 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.168 * [taylor]: Taking taylor expansion of x in x
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [backup-simplify]: Simplify (+ 0 1) into 1
0.168 * [taylor]: Taking taylor expansion of 1 in y
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [taylor]: Taking taylor expansion of 0 in y
0.169 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.171 * [taylor]: Taking taylor expansion of y in y
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (* 1 1) into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [taylor]: Taking taylor expansion of 0 in y
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [taylor]: Taking taylor expansion of 0 in y
0.180 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.182 * * * [progress]: simplifying candidates
0.183 * [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 y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
0.184 * * [simplify]: iteration 0: 48 enodes
0.202 * * [simplify]: iteration 1: 142 enodes
0.274 * * [simplify]: iteration 2: 770 enodes
0.594 * * [simplify]: iteration complete: 5000 enodes
0.594 * * [simplify]: Extracting #0: cost 28 inf + 0
0.594 * * [simplify]: Extracting #1: cost 262 inf + 4
0.598 * * [simplify]: Extracting #2: cost 1739 inf + 4350
0.613 * * [simplify]: Extracting #3: cost 1667 inf + 70823
1.078 * * [simplify]: Extracting #4: cost 347 inf + 269973
1.147 * * [simplify]: Extracting #5: cost 43 inf + 330604
1.223 * * [simplify]: Extracting #6: cost 0 inf + 342675
1.303 * [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))))
  (* (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y)))))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (* (+ x y) (- x 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)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))
  (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ x y) (- x y))
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.305 * * * [progress]: adding candidates to table
1.521 * * [progress]: iteration 2 / 4
1.521 * * * [progress]: picking best candidate
1.554 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
1.554 * * * [progress]: localizing error
1.590 * * * [progress]: generating rewritten candidates
1.590 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.610 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.662 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
1.676 * * * [progress]: generating series expansions
1.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.676 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.676 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.677 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.677 * [taylor]: Taking taylor expansion of y in y
1.677 * [backup-simplify]: Simplify 0 into 0
1.677 * [backup-simplify]: Simplify 1 into 1
1.677 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.677 * [taylor]: Taking taylor expansion of x in y
1.677 * [backup-simplify]: Simplify x into x
1.677 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.677 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.677 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.677 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.678 * [backup-simplify]: Simplify (+ 0 0) into 0
1.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.678 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.678 * [taylor]: Taking taylor expansion of y in x
1.678 * [backup-simplify]: Simplify y into y
1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.678 * [taylor]: Taking taylor expansion of x in x
1.678 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify 1 into 1
1.679 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.679 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.679 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.679 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.680 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.680 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.680 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.680 * [taylor]: Taking taylor expansion of y in x
1.680 * [backup-simplify]: Simplify y into y
1.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.680 * [taylor]: Taking taylor expansion of x in x
1.680 * [backup-simplify]: Simplify 0 into 0
1.680 * [backup-simplify]: Simplify 1 into 1
1.680 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.680 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.680 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.680 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.681 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.681 * [taylor]: Taking taylor expansion of y in y
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [backup-simplify]: Simplify 1 into 1
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [taylor]: Taking taylor expansion of 0 in y
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [backup-simplify]: Simplify 1 into 1
1.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.682 * [backup-simplify]: Simplify (* 1 1) into 1
1.683 * [backup-simplify]: Simplify (+ 0 1) into 1
1.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.683 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.683 * [taylor]: Taking taylor expansion of 1/2 in y
1.683 * [backup-simplify]: Simplify 1/2 into 1/2
1.683 * [taylor]: Taking taylor expansion of y in y
1.683 * [backup-simplify]: Simplify 0 into 0
1.684 * [backup-simplify]: Simplify 1 into 1
1.684 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.686 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.687 * [backup-simplify]: Simplify (+ 0 0) into 0
1.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.687 * [taylor]: Taking taylor expansion of 0 in y
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.688 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.689 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.689 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.689 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.689 * [taylor]: Taking taylor expansion of y in y
1.689 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify 1 into 1
1.689 * [backup-simplify]: Simplify (* 1 1) into 1
1.690 * [backup-simplify]: Simplify (/ 1 1) into 1
1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.690 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.690 * [taylor]: Taking taylor expansion of x in y
1.690 * [backup-simplify]: Simplify x into x
1.690 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.690 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.690 * [backup-simplify]: Simplify (+ 1 0) into 1
1.691 * [backup-simplify]: Simplify (sqrt 1) into 1
1.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.693 * [backup-simplify]: Simplify (+ 0 0) into 0
1.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.693 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.693 * [taylor]: Taking taylor expansion of y in x
1.694 * [backup-simplify]: Simplify y into y
1.694 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.694 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.694 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.694 * [taylor]: Taking taylor expansion of x in x
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify 1 into 1
1.694 * [backup-simplify]: Simplify (* 1 1) into 1
1.695 * [backup-simplify]: Simplify (/ 1 1) into 1
1.695 * [backup-simplify]: Simplify (+ 0 1) into 1
1.695 * [backup-simplify]: Simplify (sqrt 1) into 1
1.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.697 * [backup-simplify]: Simplify (+ 0 0) into 0
1.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.698 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.698 * [taylor]: Taking taylor expansion of y in x
1.698 * [backup-simplify]: Simplify y into y
1.698 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.698 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.698 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.698 * [taylor]: Taking taylor expansion of x in x
1.699 * [backup-simplify]: Simplify 0 into 0
1.699 * [backup-simplify]: Simplify 1 into 1
1.699 * [backup-simplify]: Simplify (* 1 1) into 1
1.699 * [backup-simplify]: Simplify (/ 1 1) into 1
1.700 * [backup-simplify]: Simplify (+ 0 1) into 1
1.700 * [backup-simplify]: Simplify (sqrt 1) into 1
1.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.702 * [backup-simplify]: Simplify (+ 0 0) into 0
1.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.703 * [taylor]: Taking taylor expansion of 1 in y
1.703 * [backup-simplify]: Simplify 1 into 1
1.703 * [taylor]: Taking taylor expansion of 0 in y
1.703 * [backup-simplify]: Simplify 0 into 0
1.703 * [backup-simplify]: Simplify 1 into 1
1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.704 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.705 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.705 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.705 * [taylor]: Taking taylor expansion of 1/2 in y
1.705 * [backup-simplify]: Simplify 1/2 into 1/2
1.705 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.705 * [taylor]: Taking taylor expansion of y in y
1.705 * [backup-simplify]: Simplify 0 into 0
1.705 * [backup-simplify]: Simplify 1 into 1
1.705 * [backup-simplify]: Simplify (* 1 1) into 1
1.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.708 * [backup-simplify]: Simplify (+ 0 0) into 0
1.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.708 * [taylor]: Taking taylor expansion of 0 in y
1.708 * [backup-simplify]: Simplify 0 into 0
1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.710 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.710 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.710 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.710 * [taylor]: Taking taylor expansion of y in y
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 1 into 1
1.710 * [backup-simplify]: Simplify (* 1 1) into 1
1.710 * [backup-simplify]: Simplify (/ 1 1) into 1
1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.710 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.711 * [taylor]: Taking taylor expansion of x in y
1.711 * [backup-simplify]: Simplify x into x
1.711 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.711 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.711 * [backup-simplify]: Simplify (+ 1 0) into 1
1.711 * [backup-simplify]: Simplify (sqrt 1) into 1
1.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.712 * [backup-simplify]: Simplify (+ 0 0) into 0
1.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.713 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.713 * [taylor]: Taking taylor expansion of y in x
1.713 * [backup-simplify]: Simplify y into y
1.713 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.713 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.713 * [taylor]: Taking taylor expansion of x in x
1.713 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify 1 into 1
1.713 * [backup-simplify]: Simplify (* 1 1) into 1
1.714 * [backup-simplify]: Simplify (/ 1 1) into 1
1.714 * [backup-simplify]: Simplify (+ 0 1) into 1
1.714 * [backup-simplify]: Simplify (sqrt 1) into 1
1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.715 * [backup-simplify]: Simplify (+ 0 0) into 0
1.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.716 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.716 * [taylor]: Taking taylor expansion of y in x
1.716 * [backup-simplify]: Simplify y into y
1.716 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.716 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.716 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.716 * [taylor]: Taking taylor expansion of x in x
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 1 into 1
1.716 * [backup-simplify]: Simplify (* 1 1) into 1
1.716 * [backup-simplify]: Simplify (/ 1 1) into 1
1.717 * [backup-simplify]: Simplify (+ 0 1) into 1
1.717 * [backup-simplify]: Simplify (sqrt 1) into 1
1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.718 * [backup-simplify]: Simplify (+ 0 0) into 0
1.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.718 * [taylor]: Taking taylor expansion of 1 in y
1.718 * [backup-simplify]: Simplify 1 into 1
1.718 * [taylor]: Taking taylor expansion of 0 in y
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify 1 into 1
1.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.720 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.721 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.721 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.721 * [taylor]: Taking taylor expansion of 1/2 in y
1.721 * [backup-simplify]: Simplify 1/2 into 1/2
1.721 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.721 * [taylor]: Taking taylor expansion of y in y
1.721 * [backup-simplify]: Simplify 0 into 0
1.721 * [backup-simplify]: Simplify 1 into 1
1.721 * [backup-simplify]: Simplify (* 1 1) into 1
1.721 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.723 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.724 * [backup-simplify]: Simplify (+ 0 0) into 0
1.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.724 * [taylor]: Taking taylor expansion of 0 in y
1.725 * [backup-simplify]: Simplify 0 into 0
1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.726 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
1.726 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.726 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.726 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.726 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.726 * [taylor]: Taking taylor expansion of y in y
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 1 into 1
1.726 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.726 * [taylor]: Taking taylor expansion of x in y
1.726 * [backup-simplify]: Simplify x into x
1.726 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.726 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.726 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.726 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.727 * [backup-simplify]: Simplify (+ 0 0) into 0
1.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.727 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.727 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.727 * [taylor]: Taking taylor expansion of y in x
1.727 * [backup-simplify]: Simplify y into y
1.727 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.727 * [taylor]: Taking taylor expansion of x in x
1.727 * [backup-simplify]: Simplify 0 into 0
1.727 * [backup-simplify]: Simplify 1 into 1
1.727 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.727 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.727 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.727 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.727 * [backup-simplify]: Simplify (+ 0 0) into 0
1.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.728 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.728 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.728 * [taylor]: Taking taylor expansion of y in x
1.728 * [backup-simplify]: Simplify y into y
1.728 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.728 * [taylor]: Taking taylor expansion of x in x
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.728 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.728 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.728 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.728 * [backup-simplify]: Simplify (+ 0 0) into 0
1.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.728 * [taylor]: Taking taylor expansion of y in y
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [taylor]: Taking taylor expansion of 0 in y
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.729 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.729 * [backup-simplify]: Simplify (* 1 1) into 1
1.729 * [backup-simplify]: Simplify (+ 0 1) into 1
1.730 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.730 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.730 * [taylor]: Taking taylor expansion of 1/2 in y
1.730 * [backup-simplify]: Simplify 1/2 into 1/2
1.730 * [taylor]: Taking taylor expansion of y in y
1.730 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify 1 into 1
1.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.732 * [backup-simplify]: Simplify (+ 0 0) into 0
1.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.733 * [taylor]: Taking taylor expansion of 0 in y
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.734 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.734 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.734 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.734 * [taylor]: Taking taylor expansion of y in y
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify 1 into 1
1.735 * [backup-simplify]: Simplify (* 1 1) into 1
1.735 * [backup-simplify]: Simplify (/ 1 1) into 1
1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.735 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.735 * [taylor]: Taking taylor expansion of x in y
1.735 * [backup-simplify]: Simplify x into x
1.735 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.735 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.736 * [backup-simplify]: Simplify (+ 1 0) into 1
1.736 * [backup-simplify]: Simplify (sqrt 1) into 1
1.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.738 * [backup-simplify]: Simplify (+ 0 0) into 0
1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.739 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.739 * [taylor]: Taking taylor expansion of y in x
1.739 * [backup-simplify]: Simplify y into y
1.739 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.739 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.739 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.739 * [taylor]: Taking taylor expansion of x in x
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.740 * [backup-simplify]: Simplify (* 1 1) into 1
1.740 * [backup-simplify]: Simplify (/ 1 1) into 1
1.741 * [backup-simplify]: Simplify (+ 0 1) into 1
1.741 * [backup-simplify]: Simplify (sqrt 1) into 1
1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.743 * [backup-simplify]: Simplify (+ 0 0) into 0
1.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.743 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.743 * [taylor]: Taking taylor expansion of y in x
1.744 * [backup-simplify]: Simplify y into y
1.744 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.744 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.744 * [taylor]: Taking taylor expansion of x in x
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify 1 into 1
1.744 * [backup-simplify]: Simplify (* 1 1) into 1
1.745 * [backup-simplify]: Simplify (/ 1 1) into 1
1.745 * [backup-simplify]: Simplify (+ 0 1) into 1
1.745 * [backup-simplify]: Simplify (sqrt 1) into 1
1.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (+ 0 0) into 0
1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.748 * [taylor]: Taking taylor expansion of 1 in y
1.748 * [backup-simplify]: Simplify 1 into 1
1.748 * [taylor]: Taking taylor expansion of 0 in y
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify 1 into 1
1.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.750 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.752 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.752 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.752 * [taylor]: Taking taylor expansion of 1/2 in y
1.752 * [backup-simplify]: Simplify 1/2 into 1/2
1.752 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.752 * [taylor]: Taking taylor expansion of y in y
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 1 into 1
1.752 * [backup-simplify]: Simplify (* 1 1) into 1
1.752 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.757 * [backup-simplify]: Simplify (+ 0 0) into 0
1.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.758 * [taylor]: Taking taylor expansion of 0 in y
1.758 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.760 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.760 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.760 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.760 * [taylor]: Taking taylor expansion of y in y
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 1 into 1
1.760 * [backup-simplify]: Simplify (* 1 1) into 1
1.760 * [backup-simplify]: Simplify (/ 1 1) into 1
1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.760 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.760 * [taylor]: Taking taylor expansion of x in y
1.760 * [backup-simplify]: Simplify x into x
1.760 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.761 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.761 * [backup-simplify]: Simplify (+ 1 0) into 1
1.761 * [backup-simplify]: Simplify (sqrt 1) into 1
1.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.762 * [backup-simplify]: Simplify (+ 0 0) into 0
1.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.763 * [taylor]: Taking taylor expansion of y in x
1.763 * [backup-simplify]: Simplify y into y
1.763 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.763 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.763 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.763 * [taylor]: Taking taylor expansion of x in x
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.763 * [backup-simplify]: Simplify (* 1 1) into 1
1.763 * [backup-simplify]: Simplify (/ 1 1) into 1
1.764 * [backup-simplify]: Simplify (+ 0 1) into 1
1.764 * [backup-simplify]: Simplify (sqrt 1) into 1
1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.765 * [backup-simplify]: Simplify (+ 0 0) into 0
1.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.766 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.766 * [taylor]: Taking taylor expansion of y in x
1.766 * [backup-simplify]: Simplify y into y
1.766 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.766 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.766 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.766 * [taylor]: Taking taylor expansion of x in x
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 1 into 1
1.766 * [backup-simplify]: Simplify (* 1 1) into 1
1.766 * [backup-simplify]: Simplify (/ 1 1) into 1
1.767 * [backup-simplify]: Simplify (+ 0 1) into 1
1.767 * [backup-simplify]: Simplify (sqrt 1) into 1
1.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.768 * [taylor]: Taking taylor expansion of 1 in y
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [taylor]: Taking taylor expansion of 0 in y
1.768 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 1 into 1
1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.770 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.771 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.771 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.771 * [taylor]: Taking taylor expansion of 1/2 in y
1.771 * [backup-simplify]: Simplify 1/2 into 1/2
1.771 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.771 * [taylor]: Taking taylor expansion of y in y
1.771 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify 1 into 1
1.771 * [backup-simplify]: Simplify (* 1 1) into 1
1.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.773 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.774 * [backup-simplify]: Simplify (+ 0 0) into 0
1.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.775 * [taylor]: Taking taylor expansion of 0 in y
1.775 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.776 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.776 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow y 2) (pow x 2)))
1.776 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.776 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.776 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.776 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.776 * [taylor]: Taking taylor expansion of y in y
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 1 into 1
1.776 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.777 * [taylor]: Taking taylor expansion of x in y
1.777 * [backup-simplify]: Simplify x into x
1.777 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.777 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.777 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.777 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.777 * [backup-simplify]: Simplify (+ 0 0) into 0
1.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.777 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.777 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.777 * [taylor]: Taking taylor expansion of y in x
1.777 * [backup-simplify]: Simplify y into y
1.777 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.777 * [taylor]: Taking taylor expansion of x in x
1.777 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify 1 into 1
1.777 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.777 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.778 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.778 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.778 * [backup-simplify]: Simplify (+ 0 0) into 0
1.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.778 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.778 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.778 * [taylor]: Taking taylor expansion of y in x
1.778 * [backup-simplify]: Simplify y into y
1.778 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.778 * [taylor]: Taking taylor expansion of x in x
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify 1 into 1
1.778 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.778 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.778 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.778 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.779 * [backup-simplify]: Simplify (+ 0 0) into 0
1.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.779 * [taylor]: Taking taylor expansion of y in y
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [taylor]: Taking taylor expansion of 0 in y
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.780 * [backup-simplify]: Simplify (* 1 1) into 1
1.780 * [backup-simplify]: Simplify (+ 0 1) into 1
1.780 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.780 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.780 * [taylor]: Taking taylor expansion of 1/2 in y
1.780 * [backup-simplify]: Simplify 1/2 into 1/2
1.780 * [taylor]: Taking taylor expansion of y in y
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 1 into 1
1.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.782 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.782 * [backup-simplify]: Simplify (+ 0 0) into 0
1.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.783 * [taylor]: Taking taylor expansion of 0 in y
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.784 * [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 y 2)) (/ 1 (pow x 2))))
1.784 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.784 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.784 * [taylor]: Taking taylor expansion of y in y
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify 1 into 1
1.784 * [backup-simplify]: Simplify (* 1 1) into 1
1.784 * [backup-simplify]: Simplify (/ 1 1) into 1
1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.784 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.784 * [taylor]: Taking taylor expansion of x in y
1.784 * [backup-simplify]: Simplify x into x
1.784 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.784 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.785 * [backup-simplify]: Simplify (+ 1 0) into 1
1.785 * [backup-simplify]: Simplify (sqrt 1) into 1
1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ 0 0) into 0
1.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.787 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.787 * [taylor]: Taking taylor expansion of y in x
1.787 * [backup-simplify]: Simplify y into y
1.787 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.787 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.787 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.787 * [taylor]: Taking taylor expansion of x in x
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 1 into 1
1.789 * [backup-simplify]: Simplify (* 1 1) into 1
1.789 * [backup-simplify]: Simplify (/ 1 1) into 1
1.789 * [backup-simplify]: Simplify (+ 0 1) into 1
1.789 * [backup-simplify]: Simplify (sqrt 1) into 1
1.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.790 * [backup-simplify]: Simplify (+ 0 0) into 0
1.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.791 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.791 * [taylor]: Taking taylor expansion of y in x
1.791 * [backup-simplify]: Simplify y into y
1.791 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.791 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.791 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.791 * [taylor]: Taking taylor expansion of x in x
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 1 into 1
1.792 * [backup-simplify]: Simplify (* 1 1) into 1
1.792 * [backup-simplify]: Simplify (/ 1 1) into 1
1.792 * [backup-simplify]: Simplify (+ 0 1) into 1
1.792 * [backup-simplify]: Simplify (sqrt 1) into 1
1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.794 * [backup-simplify]: Simplify (+ 0 0) into 0
1.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.794 * [taylor]: Taking taylor expansion of 1 in y
1.794 * [backup-simplify]: Simplify 1 into 1
1.794 * [taylor]: Taking taylor expansion of 0 in y
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 1 into 1
1.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.796 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.798 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.798 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.798 * [taylor]: Taking taylor expansion of 1/2 in y
1.798 * [backup-simplify]: Simplify 1/2 into 1/2
1.798 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.798 * [taylor]: Taking taylor expansion of y in y
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.799 * [backup-simplify]: Simplify (* 1 1) into 1
1.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.800 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.803 * [backup-simplify]: Simplify (+ 0 0) into 0
1.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.804 * [taylor]: Taking taylor expansion of 0 in y
1.804 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.807 * [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 y 2)) (/ 1 (pow x 2))))
1.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.807 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.807 * [taylor]: Taking taylor expansion of y in y
1.807 * [backup-simplify]: Simplify 0 into 0
1.807 * [backup-simplify]: Simplify 1 into 1
1.807 * [backup-simplify]: Simplify (* 1 1) into 1
1.808 * [backup-simplify]: Simplify (/ 1 1) into 1
1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.808 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.808 * [taylor]: Taking taylor expansion of x in y
1.808 * [backup-simplify]: Simplify x into x
1.808 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.808 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.809 * [backup-simplify]: Simplify (+ 1 0) into 1
1.809 * [backup-simplify]: Simplify (sqrt 1) into 1
1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.812 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.812 * [taylor]: Taking taylor expansion of y in x
1.812 * [backup-simplify]: Simplify y into y
1.812 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.812 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.812 * [taylor]: Taking taylor expansion of x in x
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [backup-simplify]: Simplify 1 into 1
1.812 * [backup-simplify]: Simplify (* 1 1) into 1
1.813 * [backup-simplify]: Simplify (/ 1 1) into 1
1.813 * [backup-simplify]: Simplify (+ 0 1) into 1
1.814 * [backup-simplify]: Simplify (sqrt 1) into 1
1.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.816 * [backup-simplify]: Simplify (+ 0 0) into 0
1.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.816 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.816 * [taylor]: Taking taylor expansion of y in x
1.816 * [backup-simplify]: Simplify y into y
1.816 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.817 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.817 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.817 * [taylor]: Taking taylor expansion of x in x
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify 1 into 1
1.817 * [backup-simplify]: Simplify (* 1 1) into 1
1.818 * [backup-simplify]: Simplify (/ 1 1) into 1
1.818 * [backup-simplify]: Simplify (+ 0 1) into 1
1.818 * [backup-simplify]: Simplify (sqrt 1) into 1
1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.821 * [taylor]: Taking taylor expansion of 1 in y
1.821 * [backup-simplify]: Simplify 1 into 1
1.821 * [taylor]: Taking taylor expansion of 0 in y
1.821 * [backup-simplify]: Simplify 0 into 0
1.821 * [backup-simplify]: Simplify 1 into 1
1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.823 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.824 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.824 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.824 * [taylor]: Taking taylor expansion of 1/2 in y
1.824 * [backup-simplify]: Simplify 1/2 into 1/2
1.824 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.824 * [taylor]: Taking taylor expansion of y in y
1.824 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 1 into 1
1.825 * [backup-simplify]: Simplify (* 1 1) into 1
1.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.827 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.829 * [backup-simplify]: Simplify (+ 0 0) into 0
1.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.829 * [taylor]: Taking taylor expansion of 0 in y
1.829 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.830 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.831 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.831 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.831 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.831 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.831 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.831 * [taylor]: Taking taylor expansion of y in y
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 1 into 1
1.831 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.831 * [taylor]: Taking taylor expansion of x in y
1.831 * [backup-simplify]: Simplify x into x
1.831 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.831 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.831 * [taylor]: Taking taylor expansion of y in x
1.831 * [backup-simplify]: Simplify y into y
1.831 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.831 * [taylor]: Taking taylor expansion of x in x
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 1 into 1
1.831 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.831 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.831 * [taylor]: Taking taylor expansion of y in x
1.831 * [backup-simplify]: Simplify y into y
1.831 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.831 * [taylor]: Taking taylor expansion of x in x
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 1 into 1
1.831 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.831 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.831 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.831 * [taylor]: Taking taylor expansion of y in y
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 1 into 1
1.831 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.832 * [backup-simplify]: Simplify (+ 0 0) into 0
1.832 * [taylor]: Taking taylor expansion of 0 in y
1.832 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.832 * [backup-simplify]: Simplify (* 1 1) into 1
1.833 * [backup-simplify]: Simplify (+ 0 1) into 1
1.833 * [taylor]: Taking taylor expansion of 1 in y
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify (* 1 1) into 1
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.834 * [backup-simplify]: Simplify (+ 0 0) into 0
1.834 * [taylor]: Taking taylor expansion of 0 in y
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.835 * [backup-simplify]: Simplify 0 into 0
1.835 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.836 * [backup-simplify]: Simplify (+ 0 0) into 0
1.836 * [taylor]: Taking taylor expansion of 0 in y
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.836 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.836 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.836 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.836 * [taylor]: Taking taylor expansion of y in y
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify 1 into 1
1.837 * [backup-simplify]: Simplify (* 1 1) into 1
1.837 * [backup-simplify]: Simplify (/ 1 1) into 1
1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.837 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.837 * [taylor]: Taking taylor expansion of x in y
1.837 * [backup-simplify]: Simplify x into x
1.837 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.837 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.837 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.837 * [taylor]: Taking taylor expansion of y in x
1.837 * [backup-simplify]: Simplify y into y
1.837 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.837 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.837 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.837 * [taylor]: Taking taylor expansion of x in x
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify 1 into 1
1.838 * [backup-simplify]: Simplify (* 1 1) into 1
1.838 * [backup-simplify]: Simplify (/ 1 1) into 1
1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.838 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.838 * [taylor]: Taking taylor expansion of y in x
1.838 * [backup-simplify]: Simplify y into y
1.838 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.838 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.838 * [taylor]: Taking taylor expansion of x in x
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify 1 into 1
1.838 * [backup-simplify]: Simplify (* 1 1) into 1
1.839 * [backup-simplify]: Simplify (/ 1 1) into 1
1.839 * [backup-simplify]: Simplify (+ 0 1) into 1
1.839 * [taylor]: Taking taylor expansion of 1 in y
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.840 * [backup-simplify]: Simplify (+ 0 0) into 0
1.840 * [taylor]: Taking taylor expansion of 0 in y
1.840 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.841 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.841 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.841 * [taylor]: Taking taylor expansion of y in y
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.842 * [backup-simplify]: Simplify (* 1 1) into 1
1.842 * [backup-simplify]: Simplify (/ 1 1) into 1
1.842 * [backup-simplify]: Simplify 1 into 1
1.842 * [backup-simplify]: Simplify 1 into 1
1.842 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.844 * [taylor]: Taking taylor expansion of 0 in y
1.844 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.846 * [backup-simplify]: Simplify (+ 0 0) into 0
1.846 * [taylor]: Taking taylor expansion of 0 in y
1.846 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.848 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.848 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.848 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.848 * [taylor]: Taking taylor expansion of y in y
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 1 into 1
1.848 * [backup-simplify]: Simplify (* 1 1) into 1
1.849 * [backup-simplify]: Simplify (/ 1 1) into 1
1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.849 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.849 * [taylor]: Taking taylor expansion of x in y
1.849 * [backup-simplify]: Simplify x into x
1.849 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.849 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.849 * [taylor]: Taking taylor expansion of y in x
1.849 * [backup-simplify]: Simplify y into y
1.849 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.849 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.849 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.849 * [taylor]: Taking taylor expansion of x in x
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.849 * [backup-simplify]: Simplify (* 1 1) into 1
1.850 * [backup-simplify]: Simplify (/ 1 1) into 1
1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.850 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.850 * [taylor]: Taking taylor expansion of y in x
1.850 * [backup-simplify]: Simplify y into y
1.850 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.850 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.850 * [taylor]: Taking taylor expansion of x in x
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [backup-simplify]: Simplify (* 1 1) into 1
1.850 * [backup-simplify]: Simplify (/ 1 1) into 1
1.851 * [backup-simplify]: Simplify (+ 0 1) into 1
1.851 * [taylor]: Taking taylor expansion of 1 in y
1.851 * [backup-simplify]: Simplify 1 into 1
1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [taylor]: Taking taylor expansion of 0 in y
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.853 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.853 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.853 * [taylor]: Taking taylor expansion of y in y
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 1 into 1
1.853 * [backup-simplify]: Simplify (* 1 1) into 1
1.854 * [backup-simplify]: Simplify (/ 1 1) into 1
1.854 * [backup-simplify]: Simplify 1 into 1
1.854 * [backup-simplify]: Simplify 1 into 1
1.854 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.855 * [backup-simplify]: Simplify (+ 0 0) into 0
1.855 * [taylor]: Taking taylor expansion of 0 in y
1.855 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.858 * [taylor]: Taking taylor expansion of 0 in y
1.858 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.860 * * * [progress]: simplifying candidates
1.862 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
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  (sqrt (cbrt (+ (* x x) (* y y))))
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  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
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  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
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  (+ (/ 1 2) 1/2)
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  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
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  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))
  (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 1 1)
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  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
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  (* 2 1/2)
  (* 2 1)
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  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (exp (* x x)) (exp (* y y)))
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  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
1.864 * * [simplify]: iteration 0: 121 enodes
1.915 * * [simplify]: iteration 1: 292 enodes
2.093 * * [simplify]: iteration 2: 1649 enodes
3.435 * * [simplify]: iteration complete: 5000 enodes
3.435 * * [simplify]: Extracting #0: cost 42 inf + 0
3.441 * * [simplify]: Extracting #1: cost 1346 inf + 46
3.451 * * [simplify]: Extracting #2: cost 1715 inf + 606
3.465 * * [simplify]: Extracting #3: cost 1541 inf + 22986
3.491 * * [simplify]: Extracting #4: cost 783 inf + 176583
3.567 * * [simplify]: Extracting #5: cost 310 inf + 302466
3.653 * * [simplify]: Extracting #6: cost 38 inf + 390708
3.744 * * [simplify]: Extracting #7: cost 0 inf + 403316
3.859 * [simplify]: Simplified to:
  (log (sqrt (+ (* y y) (* x x))))
  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
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  (sqrt (cbrt (+ (* 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 (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
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  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
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  (cbrt (sqrt (+ (* y y) (* x x))))
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  1
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  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* y y) (* x x))
  (sqrt (+ (* y y) (* x x)))
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  (+ (* y y) (* x x))
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  2
  (log (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)))) (sqrt (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y y) y))))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (exp (+ (* y y) (* x x)))
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  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
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  (sqrt (+ (* y y) (* x x)))
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  (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y y) y)))
  (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (+ x y) (- x y))
  y
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
3.878 * * * [progress]: adding candidates to table
4.469 * * [progress]: iteration 3 / 4
4.469 * * * [progress]: picking best candidate
4.482 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))>
4.482 * * * [progress]: localizing error
4.502 * * * [progress]: generating rewritten candidates
4.502 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
4.546 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
4.581 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
4.589 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
4.597 * * * [progress]: generating series expansions
4.597 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.597 * [backup-simplify]: Simplify (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) into (+ (pow y 2) (pow x 2))
4.597 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.597 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.597 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.597 * [taylor]: Taking taylor expansion of y in y
4.597 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify 1 into 1
4.597 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.597 * [taylor]: Taking taylor expansion of x in y
4.597 * [backup-simplify]: Simplify x into x
4.597 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.597 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.597 * [taylor]: Taking taylor expansion of y in x
4.597 * [backup-simplify]: Simplify y into y
4.597 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.597 * [taylor]: Taking taylor expansion of x in x
4.597 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify 1 into 1
4.597 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.597 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.597 * [taylor]: Taking taylor expansion of y in x
4.597 * [backup-simplify]: Simplify y into y
4.597 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.597 * [taylor]: Taking taylor expansion of x in x
4.597 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify 1 into 1
4.598 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.598 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.598 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.598 * [taylor]: Taking taylor expansion of y in y
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 1 into 1
4.598 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.598 * [backup-simplify]: Simplify (+ 0 0) into 0
4.598 * [taylor]: Taking taylor expansion of 0 in y
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.599 * [backup-simplify]: Simplify (* 1 1) into 1
4.599 * [backup-simplify]: Simplify (+ 0 1) into 1
4.599 * [taylor]: Taking taylor expansion of 1 in y
4.599 * [backup-simplify]: Simplify 1 into 1
4.599 * [backup-simplify]: Simplify 1 into 1
4.599 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify (* 1 1) into 1
4.600 * [backup-simplify]: Simplify 1 into 1
4.600 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.601 * [backup-simplify]: Simplify (+ 0 0) into 0
4.601 * [taylor]: Taking taylor expansion of 0 in y
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.603 * [backup-simplify]: Simplify (+ 0 0) into 0
4.603 * [taylor]: Taking taylor expansion of 0 in y
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.603 * [backup-simplify]: Simplify (/ (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.603 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.603 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.603 * [taylor]: Taking taylor expansion of y in y
4.604 * [backup-simplify]: Simplify 0 into 0
4.604 * [backup-simplify]: Simplify 1 into 1
4.604 * [backup-simplify]: Simplify (* 1 1) into 1
4.604 * [backup-simplify]: Simplify (/ 1 1) into 1
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.604 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.604 * [taylor]: Taking taylor expansion of x in y
4.604 * [backup-simplify]: Simplify x into x
4.604 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.604 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.604 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.604 * [taylor]: Taking taylor expansion of y in x
4.604 * [backup-simplify]: Simplify y into y
4.604 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.604 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.604 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.604 * [taylor]: Taking taylor expansion of x in x
4.604 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 1 into 1
4.605 * [backup-simplify]: Simplify (* 1 1) into 1
4.605 * [backup-simplify]: Simplify (/ 1 1) into 1
4.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.605 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.605 * [taylor]: Taking taylor expansion of y in x
4.605 * [backup-simplify]: Simplify y into y
4.605 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.605 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.605 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.605 * [taylor]: Taking taylor expansion of x in x
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 1 into 1
4.606 * [backup-simplify]: Simplify (* 1 1) into 1
4.606 * [backup-simplify]: Simplify (/ 1 1) into 1
4.606 * [backup-simplify]: Simplify (+ 0 1) into 1
4.606 * [taylor]: Taking taylor expansion of 1 in y
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.607 * [taylor]: Taking taylor expansion of 0 in y
4.607 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.609 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.610 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.610 * [taylor]: Taking taylor expansion of y in y
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 1 into 1
4.610 * [backup-simplify]: Simplify (* 1 1) into 1
4.610 * [backup-simplify]: Simplify (/ 1 1) into 1
4.610 * [backup-simplify]: Simplify 1 into 1
4.611 * [backup-simplify]: Simplify 1 into 1
4.611 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.613 * [backup-simplify]: Simplify (+ 0 0) into 0
4.613 * [taylor]: Taking taylor expansion of 0 in y
4.613 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.619 * [backup-simplify]: Simplify (+ 0 0) into 0
4.619 * [taylor]: Taking taylor expansion of 0 in y
4.619 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.622 * [backup-simplify]: Simplify (/ (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.622 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.622 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.622 * [taylor]: Taking taylor expansion of y in y
4.622 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify (* 1 1) into 1
4.623 * [backup-simplify]: Simplify (/ 1 1) into 1
4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.623 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.623 * [taylor]: Taking taylor expansion of x in y
4.623 * [backup-simplify]: Simplify x into x
4.623 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.624 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.624 * [taylor]: Taking taylor expansion of y in x
4.624 * [backup-simplify]: Simplify y into y
4.624 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.624 * [taylor]: Taking taylor expansion of x in x
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify 1 into 1
4.625 * [backup-simplify]: Simplify (* 1 1) into 1
4.625 * [backup-simplify]: Simplify (/ 1 1) into 1
4.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.625 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.625 * [taylor]: Taking taylor expansion of y in x
4.625 * [backup-simplify]: Simplify y into y
4.625 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.625 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.625 * [taylor]: Taking taylor expansion of x in x
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (* 1 1) into 1
4.626 * [backup-simplify]: Simplify (/ 1 1) into 1
4.627 * [backup-simplify]: Simplify (+ 0 1) into 1
4.627 * [taylor]: Taking taylor expansion of 1 in y
4.627 * [backup-simplify]: Simplify 1 into 1
4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.629 * [backup-simplify]: Simplify (+ 0 0) into 0
4.629 * [taylor]: Taking taylor expansion of 0 in y
4.629 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.631 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.631 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.631 * [taylor]: Taking taylor expansion of y in y
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 1 into 1
4.632 * [backup-simplify]: Simplify (* 1 1) into 1
4.632 * [backup-simplify]: Simplify (/ 1 1) into 1
4.632 * [backup-simplify]: Simplify 1 into 1
4.632 * [backup-simplify]: Simplify 1 into 1
4.632 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.635 * [backup-simplify]: Simplify (+ 0 0) into 0
4.635 * [taylor]: Taking taylor expansion of 0 in y
4.635 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.640 * [backup-simplify]: Simplify (+ 0 0) into 0
4.640 * [taylor]: Taking taylor expansion of 0 in y
4.640 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.643 * * * * [progress]: [ 2 / 4 ] generating series at (2)
4.643 * [backup-simplify]: Simplify (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) into (sqrt (+ (pow y 2) (pow x 2)))
4.643 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
4.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
4.644 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.644 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.644 * [taylor]: Taking taylor expansion of y in y
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 1 into 1
4.644 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.644 * [taylor]: Taking taylor expansion of x in y
4.644 * [backup-simplify]: Simplify x into x
4.644 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.644 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.644 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.644 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.645 * [backup-simplify]: Simplify (+ 0 0) into 0
4.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.645 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.645 * [taylor]: Taking taylor expansion of y in x
4.645 * [backup-simplify]: Simplify y into y
4.645 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.645 * [taylor]: Taking taylor expansion of x in x
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 1 into 1
4.645 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.645 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.645 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.646 * [backup-simplify]: Simplify (+ 0 0) into 0
4.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.646 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.646 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.646 * [taylor]: Taking taylor expansion of y in x
4.646 * [backup-simplify]: Simplify y into y
4.646 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.646 * [taylor]: Taking taylor expansion of x in x
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.647 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.647 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.647 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.647 * [backup-simplify]: Simplify (+ 0 0) into 0
4.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.647 * [taylor]: Taking taylor expansion of y in y
4.647 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 1 into 1
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [taylor]: Taking taylor expansion of 0 in y
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 1 into 1
4.648 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.649 * [backup-simplify]: Simplify (* 1 1) into 1
4.649 * [backup-simplify]: Simplify (+ 0 1) into 1
4.650 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.650 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.650 * [taylor]: Taking taylor expansion of 1/2 in y
4.650 * [backup-simplify]: Simplify 1/2 into 1/2
4.650 * [taylor]: Taking taylor expansion of y in y
4.650 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify 1 into 1
4.650 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.653 * [backup-simplify]: Simplify (+ 0 0) into 0
4.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.654 * [taylor]: Taking taylor expansion of 0 in y
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.656 * [backup-simplify]: Simplify (sqrt (/ (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.656 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.656 * [taylor]: Taking taylor expansion of y in y
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 1 into 1
4.656 * [backup-simplify]: Simplify (* 1 1) into 1
4.657 * [backup-simplify]: Simplify (/ 1 1) into 1
4.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.657 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.657 * [taylor]: Taking taylor expansion of x in y
4.657 * [backup-simplify]: Simplify x into x
4.657 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.657 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.658 * [backup-simplify]: Simplify (+ 1 0) into 1
4.658 * [backup-simplify]: Simplify (sqrt 1) into 1
4.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.660 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.660 * [taylor]: Taking taylor expansion of y in x
4.660 * [backup-simplify]: Simplify y into y
4.660 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.660 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.660 * [taylor]: Taking taylor expansion of x in x
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify (* 1 1) into 1
4.661 * [backup-simplify]: Simplify (/ 1 1) into 1
4.661 * [backup-simplify]: Simplify (+ 0 1) into 1
4.661 * [backup-simplify]: Simplify (sqrt 1) into 1
4.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.662 * [backup-simplify]: Simplify (+ 0 0) into 0
4.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.663 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.663 * [taylor]: Taking taylor expansion of y in x
4.663 * [backup-simplify]: Simplify y into y
4.663 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.663 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.663 * [taylor]: Taking taylor expansion of x in x
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 1 into 1
4.663 * [backup-simplify]: Simplify (* 1 1) into 1
4.663 * [backup-simplify]: Simplify (/ 1 1) into 1
4.664 * [backup-simplify]: Simplify (+ 0 1) into 1
4.664 * [backup-simplify]: Simplify (sqrt 1) into 1
4.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.665 * [backup-simplify]: Simplify (+ 0 0) into 0
4.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.665 * [taylor]: Taking taylor expansion of 1 in y
4.665 * [backup-simplify]: Simplify 1 into 1
4.665 * [taylor]: Taking taylor expansion of 0 in y
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 1 into 1
4.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.668 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.668 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.668 * [taylor]: Taking taylor expansion of 1/2 in y
4.668 * [backup-simplify]: Simplify 1/2 into 1/2
4.668 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.668 * [taylor]: Taking taylor expansion of y in y
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (* 1 1) into 1
4.668 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.671 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.671 * [taylor]: Taking taylor expansion of 0 in y
4.671 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.673 * [backup-simplify]: Simplify (sqrt (/ (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.673 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.673 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.673 * [taylor]: Taking taylor expansion of y in y
4.673 * [backup-simplify]: Simplify 0 into 0
4.673 * [backup-simplify]: Simplify 1 into 1
4.673 * [backup-simplify]: Simplify (* 1 1) into 1
4.674 * [backup-simplify]: Simplify (/ 1 1) into 1
4.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.674 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.674 * [taylor]: Taking taylor expansion of x in y
4.674 * [backup-simplify]: Simplify x into x
4.674 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.674 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.674 * [backup-simplify]: Simplify (+ 1 0) into 1
4.674 * [backup-simplify]: Simplify (sqrt 1) into 1
4.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ 0 0) into 0
4.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.676 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.676 * [taylor]: Taking taylor expansion of y in x
4.676 * [backup-simplify]: Simplify y into y
4.676 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.676 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.676 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.676 * [taylor]: Taking taylor expansion of x in x
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify 1 into 1
4.676 * [backup-simplify]: Simplify (* 1 1) into 1
4.677 * [backup-simplify]: Simplify (/ 1 1) into 1
4.677 * [backup-simplify]: Simplify (+ 0 1) into 1
4.677 * [backup-simplify]: Simplify (sqrt 1) into 1
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (+ 0 0) into 0
4.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.681 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.681 * [taylor]: Taking taylor expansion of y in x
4.681 * [backup-simplify]: Simplify y into y
4.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.681 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.681 * [taylor]: Taking taylor expansion of x in x
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify 1 into 1
4.681 * [backup-simplify]: Simplify (* 1 1) into 1
4.681 * [backup-simplify]: Simplify (/ 1 1) into 1
4.682 * [backup-simplify]: Simplify (+ 0 1) into 1
4.682 * [backup-simplify]: Simplify (sqrt 1) into 1
4.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.683 * [backup-simplify]: Simplify (+ 0 0) into 0
4.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.683 * [taylor]: Taking taylor expansion of 1 in y
4.683 * [backup-simplify]: Simplify 1 into 1
4.683 * [taylor]: Taking taylor expansion of 0 in y
4.683 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.685 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.685 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.685 * [taylor]: Taking taylor expansion of 1/2 in y
4.685 * [backup-simplify]: Simplify 1/2 into 1/2
4.685 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.685 * [taylor]: Taking taylor expansion of y in y
4.685 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify 1 into 1
4.686 * [backup-simplify]: Simplify (* 1 1) into 1
4.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.689 * [backup-simplify]: Simplify (+ 0 0) into 0
4.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.689 * [taylor]: Taking taylor expansion of 0 in y
4.689 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.690 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
4.690 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2))
4.691 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0
4.691 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y
4.691 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.691 * [taylor]: Taking taylor expansion of x in y
4.691 * [backup-simplify]: Simplify x into x
4.691 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.691 * [taylor]: Taking taylor expansion of y in y
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
4.691 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.691 * [taylor]: Taking taylor expansion of x in x
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.691 * [taylor]: Taking taylor expansion of y in x
4.691 * [backup-simplify]: Simplify y into y
4.691 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
4.691 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.691 * [taylor]: Taking taylor expansion of x in x
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.691 * [taylor]: Taking taylor expansion of y in x
4.691 * [backup-simplify]: Simplify y into y
4.691 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.691 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
4.691 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
4.691 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y
4.691 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.691 * [taylor]: Taking taylor expansion of y in y
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.692 * [backup-simplify]: Simplify (- 0) into 0
4.692 * [backup-simplify]: Simplify (+ 0 0) into 0
4.692 * [taylor]: Taking taylor expansion of 0 in y
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify (* 1 1) into 1
4.692 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.693 * [backup-simplify]: Simplify (- 0) into 0
4.693 * [backup-simplify]: Simplify (+ 1 0) into 1
4.693 * [taylor]: Taking taylor expansion of 1 in y
4.693 * [backup-simplify]: Simplify 1 into 1
4.693 * [backup-simplify]: Simplify 1 into 1
4.693 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify (* 1 1) into 1
4.693 * [backup-simplify]: Simplify (- 1) into -1
4.693 * [backup-simplify]: Simplify -1 into -1
4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.694 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.695 * [backup-simplify]: Simplify (- 0) into 0
4.695 * [backup-simplify]: Simplify (+ 0 0) into 0
4.695 * [taylor]: Taking taylor expansion of 0 in y
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.696 * [backup-simplify]: Simplify (- 0) into 0
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.697 * [backup-simplify]: Simplify (- 0) into 0
4.697 * [backup-simplify]: Simplify (+ 0 0) into 0
4.697 * [taylor]: Taking taylor expansion of 0 in y
4.697 * [backup-simplify]: Simplify 0 into 0
4.697 * [backup-simplify]: Simplify 0 into 0
4.697 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2))
4.698 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.698 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.698 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.698 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.698 * [taylor]: Taking taylor expansion of x in y
4.698 * [backup-simplify]: Simplify x into x
4.698 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.698 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.698 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.698 * [taylor]: Taking taylor expansion of y in y
4.698 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify 1 into 1
4.698 * [backup-simplify]: Simplify (* 1 1) into 1
4.698 * [backup-simplify]: Simplify (/ 1 1) into 1
4.699 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.699 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.699 * [taylor]: Taking taylor expansion of x in x
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.699 * [backup-simplify]: Simplify (* 1 1) into 1
4.699 * [backup-simplify]: Simplify (/ 1 1) into 1
4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.699 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.699 * [taylor]: Taking taylor expansion of y in x
4.699 * [backup-simplify]: Simplify y into y
4.699 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.699 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.699 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.699 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.699 * [taylor]: Taking taylor expansion of x in x
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.700 * [backup-simplify]: Simplify (* 1 1) into 1
4.700 * [backup-simplify]: Simplify (/ 1 1) into 1
4.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.700 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.700 * [taylor]: Taking taylor expansion of y in x
4.700 * [backup-simplify]: Simplify y into y
4.700 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.700 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.700 * [backup-simplify]: Simplify (+ 1 0) into 1
4.700 * [taylor]: Taking taylor expansion of 1 in y
4.700 * [backup-simplify]: Simplify 1 into 1
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [taylor]: Taking taylor expansion of 0 in y
4.701 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.703 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
4.703 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
4.703 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
4.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.703 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.703 * [taylor]: Taking taylor expansion of y in y
4.703 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify 1 into 1
4.703 * [backup-simplify]: Simplify (* 1 1) into 1
4.704 * [backup-simplify]: Simplify (/ 1 1) into 1
4.704 * [backup-simplify]: Simplify (- 1) into -1
4.704 * [backup-simplify]: Simplify -1 into -1
4.704 * [backup-simplify]: Simplify 1 into 1
4.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.707 * [backup-simplify]: Simplify (- 0) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.707 * [taylor]: Taking taylor expansion of 0 in y
4.707 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.709 * [backup-simplify]: Simplify (- 0) into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.712 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.713 * [backup-simplify]: Simplify (- 0) into 0
4.713 * [backup-simplify]: Simplify (+ 0 0) into 0
4.713 * [taylor]: Taking taylor expansion of 0 in y
4.713 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.715 * [backup-simplify]: Simplify (- 0) into 0
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2))
4.716 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.716 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.716 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.717 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.717 * [taylor]: Taking taylor expansion of x in y
4.717 * [backup-simplify]: Simplify x into x
4.717 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.717 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.717 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.717 * [taylor]: Taking taylor expansion of y in y
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 1 into 1
4.717 * [backup-simplify]: Simplify (* 1 1) into 1
4.718 * [backup-simplify]: Simplify (/ 1 1) into 1
4.718 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.718 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.718 * [taylor]: Taking taylor expansion of x in x
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify 1 into 1
4.718 * [backup-simplify]: Simplify (* 1 1) into 1
4.719 * [backup-simplify]: Simplify (/ 1 1) into 1
4.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.719 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.719 * [taylor]: Taking taylor expansion of y in x
4.719 * [backup-simplify]: Simplify y into y
4.719 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.719 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.719 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.719 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.719 * [taylor]: Taking taylor expansion of x in x
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 1 into 1
4.719 * [backup-simplify]: Simplify (* 1 1) into 1
4.720 * [backup-simplify]: Simplify (/ 1 1) into 1
4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.720 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.720 * [taylor]: Taking taylor expansion of y in x
4.720 * [backup-simplify]: Simplify y into y
4.720 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.720 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.721 * [backup-simplify]: Simplify (+ 1 0) into 1
4.721 * [taylor]: Taking taylor expansion of 1 in y
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.722 * [backup-simplify]: Simplify (+ 0 0) into 0
4.722 * [taylor]: Taking taylor expansion of 0 in y
4.722 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.724 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
4.725 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
4.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
4.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.725 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.725 * [taylor]: Taking taylor expansion of y in y
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.725 * [backup-simplify]: Simplify (* 1 1) into 1
4.725 * [backup-simplify]: Simplify (/ 1 1) into 1
4.726 * [backup-simplify]: Simplify (- 1) into -1
4.726 * [backup-simplify]: Simplify -1 into -1
4.726 * [backup-simplify]: Simplify 1 into 1
4.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.729 * [backup-simplify]: Simplify (- 0) into 0
4.729 * [backup-simplify]: Simplify (+ 0 0) into 0
4.729 * [taylor]: Taking taylor expansion of 0 in y
4.729 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.731 * [backup-simplify]: Simplify (- 0) into 0
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.733 * [backup-simplify]: Simplify (- 0) into 0
4.733 * [backup-simplify]: Simplify (+ 0 0) into 0
4.733 * [taylor]: Taking taylor expansion of 0 in y
4.733 * [backup-simplify]: Simplify 0 into 0
4.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify (- 0) into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2))
4.735 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
4.735 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2))
4.735 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0
4.735 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y
4.735 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.735 * [taylor]: Taking taylor expansion of x in y
4.735 * [backup-simplify]: Simplify x into x
4.735 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.735 * [taylor]: Taking taylor expansion of y in y
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 1 into 1
4.735 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
4.735 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.735 * [taylor]: Taking taylor expansion of x in x
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 1 into 1
4.735 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.735 * [taylor]: Taking taylor expansion of y in x
4.735 * [backup-simplify]: Simplify y into y
4.735 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
4.735 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.735 * [taylor]: Taking taylor expansion of x in x
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 1 into 1
4.735 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.735 * [taylor]: Taking taylor expansion of y in x
4.735 * [backup-simplify]: Simplify y into y
4.736 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.736 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
4.736 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
4.736 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y
4.736 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.736 * [taylor]: Taking taylor expansion of y in y
4.736 * [backup-simplify]: Simplify 0 into 0
4.736 * [backup-simplify]: Simplify 1 into 1
4.736 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.736 * [backup-simplify]: Simplify (- 0) into 0
4.736 * [backup-simplify]: Simplify (+ 0 0) into 0
4.736 * [taylor]: Taking taylor expansion of 0 in y
4.736 * [backup-simplify]: Simplify 0 into 0
4.736 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (* 1 1) into 1
4.737 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.737 * [backup-simplify]: Simplify (- 0) into 0
4.737 * [backup-simplify]: Simplify (+ 1 0) into 1
4.737 * [taylor]: Taking taylor expansion of 1 in y
4.737 * [backup-simplify]: Simplify 1 into 1
4.738 * [backup-simplify]: Simplify 1 into 1
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify (* 1 1) into 1
4.738 * [backup-simplify]: Simplify (- 1) into -1
4.738 * [backup-simplify]: Simplify -1 into -1
4.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.739 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.739 * [backup-simplify]: Simplify (- 0) into 0
4.740 * [backup-simplify]: Simplify (+ 0 0) into 0
4.740 * [taylor]: Taking taylor expansion of 0 in y
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.740 * [backup-simplify]: Simplify (- 0) into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.742 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.742 * [backup-simplify]: Simplify (- 0) into 0
4.742 * [backup-simplify]: Simplify (+ 0 0) into 0
4.742 * [taylor]: Taking taylor expansion of 0 in y
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2))
4.743 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.743 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.743 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.743 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.743 * [taylor]: Taking taylor expansion of x in y
4.743 * [backup-simplify]: Simplify x into x
4.743 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.743 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.743 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.743 * [taylor]: Taking taylor expansion of y in y
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 1 into 1
4.743 * [backup-simplify]: Simplify (* 1 1) into 1
4.743 * [backup-simplify]: Simplify (/ 1 1) into 1
4.743 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.743 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.743 * [taylor]: Taking taylor expansion of x in x
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 1 into 1
4.744 * [backup-simplify]: Simplify (* 1 1) into 1
4.744 * [backup-simplify]: Simplify (/ 1 1) into 1
4.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.744 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.744 * [taylor]: Taking taylor expansion of y in x
4.744 * [backup-simplify]: Simplify y into y
4.744 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.744 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.744 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.744 * [taylor]: Taking taylor expansion of x in x
4.744 * [backup-simplify]: Simplify 0 into 0
4.744 * [backup-simplify]: Simplify 1 into 1
4.744 * [backup-simplify]: Simplify (* 1 1) into 1
4.745 * [backup-simplify]: Simplify (/ 1 1) into 1
4.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.745 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.745 * [taylor]: Taking taylor expansion of y in x
4.745 * [backup-simplify]: Simplify y into y
4.745 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.745 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.745 * [backup-simplify]: Simplify (+ 1 0) into 1
4.745 * [taylor]: Taking taylor expansion of 1 in y
4.745 * [backup-simplify]: Simplify 1 into 1
4.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.746 * [backup-simplify]: Simplify (+ 0 0) into 0
4.746 * [taylor]: Taking taylor expansion of 0 in y
4.746 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.748 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
4.748 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
4.748 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
4.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.748 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.748 * [taylor]: Taking taylor expansion of y in y
4.748 * [backup-simplify]: Simplify 0 into 0
4.748 * [backup-simplify]: Simplify 1 into 1
4.748 * [backup-simplify]: Simplify (* 1 1) into 1
4.748 * [backup-simplify]: Simplify (/ 1 1) into 1
4.748 * [backup-simplify]: Simplify (- 1) into -1
4.749 * [backup-simplify]: Simplify -1 into -1
4.749 * [backup-simplify]: Simplify 1 into 1
4.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.750 * [backup-simplify]: Simplify (- 0) into 0
4.750 * [backup-simplify]: Simplify (+ 0 0) into 0
4.750 * [taylor]: Taking taylor expansion of 0 in y
4.750 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.751 * [backup-simplify]: Simplify (- 0) into 0
4.751 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.753 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.754 * [backup-simplify]: Simplify (- 0) into 0
4.754 * [backup-simplify]: Simplify (+ 0 0) into 0
4.754 * [taylor]: Taking taylor expansion of 0 in y
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.755 * [backup-simplify]: Simplify (- 0) into 0
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2))
4.756 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.756 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.756 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.756 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.756 * [taylor]: Taking taylor expansion of x in y
4.756 * [backup-simplify]: Simplify x into x
4.756 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.756 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.756 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.756 * [taylor]: Taking taylor expansion of y in y
4.756 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify 1 into 1
4.756 * [backup-simplify]: Simplify (* 1 1) into 1
4.756 * [backup-simplify]: Simplify (/ 1 1) into 1
4.756 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.756 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.756 * [taylor]: Taking taylor expansion of x in x
4.756 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify 1 into 1
4.757 * [backup-simplify]: Simplify (* 1 1) into 1
4.757 * [backup-simplify]: Simplify (/ 1 1) into 1
4.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.757 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.757 * [taylor]: Taking taylor expansion of y in x
4.757 * [backup-simplify]: Simplify y into y
4.757 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.757 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.757 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.757 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.757 * [taylor]: Taking taylor expansion of x in x
4.757 * [backup-simplify]: Simplify 0 into 0
4.757 * [backup-simplify]: Simplify 1 into 1
4.757 * [backup-simplify]: Simplify (* 1 1) into 1
4.758 * [backup-simplify]: Simplify (/ 1 1) into 1
4.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.758 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.758 * [taylor]: Taking taylor expansion of y in x
4.758 * [backup-simplify]: Simplify y into y
4.758 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.758 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.758 * [backup-simplify]: Simplify (+ 1 0) into 1
4.758 * [taylor]: Taking taylor expansion of 1 in y
4.758 * [backup-simplify]: Simplify 1 into 1
4.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.760 * [backup-simplify]: Simplify (+ 0 0) into 0
4.760 * [taylor]: Taking taylor expansion of 0 in y
4.760 * [backup-simplify]: Simplify 0 into 0
4.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
4.762 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
4.762 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
4.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.762 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.762 * [taylor]: Taking taylor expansion of y in y
4.762 * [backup-simplify]: Simplify 0 into 0
4.762 * [backup-simplify]: Simplify 1 into 1
4.762 * [backup-simplify]: Simplify (* 1 1) into 1
4.763 * [backup-simplify]: Simplify (/ 1 1) into 1
4.763 * [backup-simplify]: Simplify (- 1) into -1
4.763 * [backup-simplify]: Simplify -1 into -1
4.763 * [backup-simplify]: Simplify 1 into 1
4.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.766 * [backup-simplify]: Simplify (- 0) into 0
4.767 * [backup-simplify]: Simplify (+ 0 0) into 0
4.767 * [taylor]: Taking taylor expansion of 0 in y
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.769 * [backup-simplify]: Simplify (- 0) into 0
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify 0 into 0
4.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.772 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.772 * [backup-simplify]: Simplify (- 0) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [taylor]: Taking taylor expansion of 0 in y
4.773 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.775 * [backup-simplify]: Simplify (- 0) into 0
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2))
4.776 * * * [progress]: simplifying candidates
4.779 * [simplify]: Simplifying:
  (- (+ (log (+ (* x x) (* y y))) (log (- (* x x) (* y y)))) (log (- (* x x) (* y y))))
  (- (log (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (log (- (* x x) (* y y))))
  (log (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (exp (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (/ (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (/ (* (* (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (* (cbrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (cbrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (cbrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (* (* (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (- (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (- (- (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))
  (/ (- (* x x) (* y y)) (cbrt (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (sqrt (- (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (sqrt (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) 1)
  (/ (- (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (- (* x x) (* y y)) (- x y))
  (/ 1 (- (* x x) (* y y)))
  (/ (- (* x x) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) 1)
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ x y))
  (/ (- (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (- (* x x) (* y y)) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (- (* x x) (* y y)) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (* y y))))
  (* (- (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (- (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (* (- (* x x) (* y y)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (* (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (- (* x x) (* y y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (* (- (* x x) (* y y)) (- (* x x) (* y y)))
  (log (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (exp (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (* (cbrt (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))) (cbrt (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))))
  (cbrt (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (* (* (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (sqrt (* (cbrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (cbrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))))
  (sqrt (cbrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (sqrt (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (sqrt (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (sqrt (/ (+ (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))))
  (sqrt (/ (- (* x x) (* y y)) (cbrt (- (* x x) (* y y)))))
  (sqrt (/ (+ (* x x) (* y y)) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (- (* x x) (* y y)) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (+ (* x x) (* y y)) 1))
  (sqrt (/ (- (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (/ (+ (* x x) (* y y)) (+ x y)))
  (sqrt (/ (- (* x x) (* y y)) (- x y)))
  (sqrt 1)
  (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (/ 1 (- (* x x) (* y y))))
  (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3))))
  (sqrt (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))
  (sqrt (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* 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))))
  (- (* y y))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (+ (* x x) (* y y))
  (+ x y)
  (- x y)
  (- (* 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))))
  (- (* y y))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (+ (* x x) (* y y))
  (+ x y)
  (- x y)
  (- (* y y))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  y
  x
  (* -1 x)
  (- (pow x 2) (pow y 2))
  (- (pow x 2) (pow y 2))
  (- (pow x 2) (pow y 2))
  (- (pow x 2) (pow y 2))
  (- (pow x 2) (pow y 2))
  (- (pow x 2) (pow y 2))
4.782 * * [simplify]: iteration 0: 112 enodes
4.826 * * [simplify]: iteration 1: 356 enodes
5.134 * * [simplify]: iteration 2: 2684 enodes
6.300 * * [simplify]: iteration complete: 5001 enodes
6.300 * * [simplify]: Extracting #0: cost 67 inf + 0
6.302 * * [simplify]: Extracting #1: cost 912 inf + 453
6.315 * * [simplify]: Extracting #2: cost 1495 inf + 30829
6.362 * * [simplify]: Extracting #3: cost 1295 inf + 189713
6.477 * * [simplify]: Extracting #4: cost 155 inf + 516590
6.625 * * [simplify]: Extracting #5: cost 2 inf + 572165
6.774 * * [simplify]: Extracting #6: cost 0 inf + 572266
6.946 * [simplify]: Simplified to:
  (log (+ (* y y) (* x x)))
  (log (+ (* y y) (* x x)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (- (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1))
  (- (* (- x y) (+ x y)))
  (/ (+ (* y y) (* x x)) (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))))
  (/ (* (- x y) (+ x y)) (cbrt (* (- x y) (+ x y))))
  (/ (+ (* y y) (* x x)) (sqrt (* (- x y) (+ x y))))
  (/ (* (- x y) (+ x y)) (sqrt (* (- x y) (+ x y))))
  (+ (* y y) (* x x))
  1
  (/ (+ (* y y) (* x x)) (+ x y))
  (/ (* (- x y) (+ x y)) (- x y))
  (/ 1 (* (- x y) (+ x y)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (/ (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (* (- x y) (+ x y))))
  (/ (+ (* y y) (* x x)) (/ (sqrt (* (- x y) (+ x y))) (* (- x y) (+ x y))))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1)
  (/ (+ (* y y) (* x x)) (/ (+ x y) (* (- x y) (+ x y))))
  1
  (/ (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1) (- (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* y y))))
  (/ (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  (* (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x))) (* (+ (* (* x x) (* x x)) (* (+ (* y y) (* x x)) (* y y))) (* (- x y) (+ x y))))
  (* (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x))) (* (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (+ (* (* x x) (* x x)) (* (+ (* y y) (* x x)) (* y y))))
  (* (+ (* y y) (* x x)) (* (* (- x y) (+ x y)) (* (- x y) (+ x y))))
  (* (+ (* (* x x) (* x x)) (* (+ (* y y) (* x x)) (* y y))) (* (- x y) (+ x y)))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1)
  (* (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x))) (* (- x y) (+ x y)))
  (* (* (- x y) (+ x y)) (* (- x y) (+ x y)))
  (log (sqrt (+ (* y y) (* x x))))
  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
  (* (+ (* y y) (* x x)) (sqrt (+ (* y y) (* x x))))
  (fabs (cbrt (+ (* y y) (* x x))))
  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (/ (+ (* y y) (* x x)) (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y))))))
  (sqrt (/ (* (- x y) (+ x y)) (cbrt (* (- x y) (+ x y)))))
  (sqrt (/ (+ (* y y) (* x x)) (sqrt (* (- x y) (+ x y)))))
  (sqrt (/ (* (- x y) (+ x y)) (sqrt (* (- x y) (+ x y)))))
  (sqrt (+ (* y y) (* x x)))
  1
  (sqrt (/ (+ (* y y) (* x x)) (+ x y)))
  (sqrt (/ (* (- x y) (+ x y)) (- x y)))
  1
  (sqrt (+ (* y y) (* x x)))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1))
  (sqrt (/ 1 (* (- x y) (+ x y))))
  (sqrt (/ (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1) (- (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* y y)))))
  (sqrt (+ (* (* x x) (* x x)) (* (+ (* y y) (* x x)) (* y y))))
  (sqrt (/ (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1))
  (sqrt (* (- x y) (+ x y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (exp (* (- x y) (+ x y)))
  (log (* (- x y) (+ x y)))
  (exp (* (- x y) (+ x y)))
  (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y))))
  (cbrt (* (- x y) (+ x y)))
  (* (* (- x y) (+ x y)) (* (* (- x y) (+ x y)) (* (- x y) (+ x y))))
  (sqrt (* (- x y) (+ x y)))
  (sqrt (* (- x y) (+ x y)))
  (- (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* y y)))
  (+ (* (* x x) (* x x)) (* (+ (* y y) (* x x)) (* y y)))
  (* (- y) y)
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (+ (* y y) (* x x))
  (+ x y)
  (- x y)
  (* (- y) y)
  (exp (* (- x y) (+ x y)))
  (log (* (- x y) (+ x y)))
  (exp (* (- x y) (+ x y)))
  (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y))))
  (cbrt (* (- x y) (+ x y)))
  (* (* (- x y) (+ x y)) (* (* (- x y) (+ x y)) (* (- x y) (+ x y))))
  (sqrt (* (- x y) (+ x y)))
  (sqrt (* (- x y) (+ x y)))
  (- (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* y y)))
  (+ (* (* x x) (* x x)) (* (+ (* y y) (* x x)) (* y y)))
  (* (- y) y)
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (+ (* y y) (* x x))
  (+ x y)
  (- x y)
  (* (- y) y)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  y
  x
  (- x)
  (* (- x y) (+ x y))
  (* (- x y) (+ x y))
  (* (- x y) (+ x y))
  (* (- x y) (+ x y))
  (* (- x y) (+ x y))
  (* (- x y) (+ x y))
6.953 * * * [progress]: adding candidates to table
7.311 * * [progress]: iteration 4 / 4
7.311 * * * [progress]: picking best candidate
7.325 * * * * [pick]: Picked  #<alt (λ (x y) (- x))>
7.325 * * * [progress]: localizing error
7.328 * * * [progress]: generating rewritten candidates
7.328 * * * [progress]: generating series expansions
7.328 * * * [progress]: simplifying candidates
7.328 * [simplify]: Simplifying:
  
7.328 * * [simplify]: iteration 0: 0 enodes
7.328 * * [simplify]: iteration complete: 0 enodes
7.328 * * [simplify]: Extracting #0: cost 0 inf + 0
7.328 * [simplify]: Simplified to:
  
7.328 * * * [progress]: adding candidates to table
7.329 * [progress]: [Phase 3 of 3] Extracting.
7.329 * * [regime]: Finding splitpoints for: (#<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) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.329 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
7.329 * * * * [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) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.392 * * * * [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) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (- x))>)
7.446 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.491 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.532 * * * * [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) x)> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.602 * * * * [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))))>)
7.637 * * * * [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) x)> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.716 * * * * [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))))>)
7.745 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.791 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.859 * * * [regime]: Found split indices: #<option (#s(si 5 41) #s(si 3 214) #s(si 1 255))>
7.860 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.929 * [regimes]: Found splitpoints: (#s(sp 5 x -1.9401195934627838e+70) #s(sp 3 x 1.1493803764036757e+95) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) x)> #<alt (λ (x y) (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)> #<alt (λ (x y) (- x))>)
7.930 * [simplify]: Simplifying:
  (if (<= x -1.9401195934627838e+70) (- x) (if (<= x 1.1493803764036757e+95) (sqrt (+ (* x x) (* y y))) x))
7.930 * * [simplify]: iteration 0: 13 enodes
7.930 * * [simplify]: iteration 1: 14 enodes
7.931 * * [simplify]: iteration complete: 14 enodes
7.931 * * [simplify]: Extracting #0: cost 1 inf + 0
7.931 * * [simplify]: Extracting #1: cost 4 inf + 0
7.931 * * [simplify]: Extracting #2: cost 8 inf + 0
7.931 * * [simplify]: Extracting #3: cost 8 inf + 2
7.931 * * [simplify]: Extracting #4: cost 6 inf + 178
7.931 * * [simplify]: Extracting #5: cost 6 inf + 219
7.931 * * [simplify]: Extracting #6: cost 5 inf + 220
7.931 * * [simplify]: Extracting #7: cost 3 inf + 383
7.931 * * [simplify]: Extracting #8: cost 1 inf + 838
7.932 * * [simplify]: Extracting #9: cost 0 inf + 1302
7.932 * [simplify]: Simplified to:
  (if (<= x -1.9401195934627838e+70) (- x) (if (<= x 1.1493803764036757e+95) (sqrt (+ (* y y) (* x x))) x))
9.330 * [regime-testing]: Baseline error score: 31.467784501695146
9.347 * [regime-testing]: Oracle error score: 7.568915503526036
9.386 * [regime-testing]: End program error score: 18.008772484560165
9.550 * [regime-testing]: Target error score: 17.744770527115513