41.546 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.028 * [progress]: [Phase 2 of 3] Improving.
0.028 * [simplify]: Simplifying:
  (+ (+ (* x x) y) y)
0.028 * [simplify]: Sending expressions to egg_math:
 (+ (+ (* h1 h1) h0) h0)
0.030 * * [progress]: iteration 1 / 4
0.030 * * * [progress]: picking best candidate
0.031 * * * * [pick]: Picked  #<alt (λ (x y) (+ (+ (* x x) y) y))>
0.031 * * * [progress]: localizing error
0.036 * * * [progress]: generating rewritten candidates
0.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.103 * * * [progress]: generating series expansions
0.103 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.103 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y))
0.103 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0
0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y
0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.103 * [taylor]: Taking taylor expansion of x in y
0.103 * [backup-simplify]: Simplify x into x
0.103 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.103 * [taylor]: Taking taylor expansion of 2 in y
0.103 * [backup-simplify]: Simplify 2 into 2
0.103 * [taylor]: Taking taylor expansion of y in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.103 * [taylor]: Taking taylor expansion of x in x
0.103 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [taylor]: Taking taylor expansion of (* 2 y) in x
0.104 * [taylor]: Taking taylor expansion of 2 in x
0.104 * [backup-simplify]: Simplify 2 into 2
0.104 * [taylor]: Taking taylor expansion of y in x
0.104 * [backup-simplify]: Simplify y into y
0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [taylor]: Taking taylor expansion of (* 2 y) in x
0.104 * [taylor]: Taking taylor expansion of 2 in x
0.104 * [backup-simplify]: Simplify 2 into 2
0.104 * [taylor]: Taking taylor expansion of y in x
0.104 * [backup-simplify]: Simplify y into y
0.104 * [backup-simplify]: Simplify (* 2 y) into (* 2 y)
0.104 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
0.104 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.104 * [taylor]: Taking taylor expansion of 2 in y
0.104 * [backup-simplify]: Simplify 2 into 2
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 2 0) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.107 * [backup-simplify]: Simplify 2 into 2
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0
0.108 * [backup-simplify]: Simplify (+ 1 0) into 1
0.108 * [taylor]: Taking taylor expansion of 1 in y
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [taylor]: Taking taylor expansion of 0 in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y))
0.113 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))
0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.113 * [taylor]: Taking taylor expansion of x in y
0.113 * [backup-simplify]: Simplify x into x
0.113 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.114 * [taylor]: Taking taylor expansion of 2 in y
0.114 * [backup-simplify]: Simplify 2 into 2
0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.114 * [taylor]: Taking taylor expansion of y in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (/ 1 1) into 1
0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.114 * [taylor]: Taking taylor expansion of x in x
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ 1 1) into 1
0.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.115 * [taylor]: Taking taylor expansion of 2 in x
0.115 * [backup-simplify]: Simplify 2 into 2
0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [backup-simplify]: Simplify y into y
0.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.115 * [taylor]: Taking taylor expansion of x in x
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (* 1 1) into 1
0.116 * [backup-simplify]: Simplify (/ 1 1) into 1
0.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.116 * [taylor]: Taking taylor expansion of 2 in x
0.116 * [backup-simplify]: Simplify 2 into 2
0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.116 * [taylor]: Taking taylor expansion of y in x
0.116 * [backup-simplify]: Simplify y into y
0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.117 * [backup-simplify]: Simplify (+ 1 0) into 1
0.117 * [taylor]: Taking taylor expansion of 1 in y
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [taylor]: Taking taylor expansion of 0 in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
0.120 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
0.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.120 * [taylor]: Taking taylor expansion of 2 in y
0.120 * [backup-simplify]: Simplify 2 into 2
0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.120 * [taylor]: Taking taylor expansion of y in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (/ 1 1) into 1
0.121 * [backup-simplify]: Simplify (* 2 1) into 2
0.121 * [backup-simplify]: Simplify 2 into 2
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.123 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [taylor]: Taking taylor expansion of 0 in y
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y))
0.129 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))
0.129 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.129 * [taylor]: Taking taylor expansion of x in y
0.129 * [backup-simplify]: Simplify x into x
0.129 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.129 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.129 * [taylor]: Taking taylor expansion of 2 in y
0.129 * [backup-simplify]: Simplify 2 into 2
0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.129 * [taylor]: Taking taylor expansion of y in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.130 * [taylor]: Taking taylor expansion of x in x
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.131 * [taylor]: Taking taylor expansion of 2 in x
0.131 * [backup-simplify]: Simplify 2 into 2
0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.131 * [taylor]: Taking taylor expansion of y in x
0.131 * [backup-simplify]: Simplify y into y
0.131 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.131 * [taylor]: Taking taylor expansion of x in x
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.132 * [taylor]: Taking taylor expansion of 2 in x
0.132 * [backup-simplify]: Simplify 2 into 2
0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.132 * [taylor]: Taking taylor expansion of y in x
0.132 * [backup-simplify]: Simplify y into y
0.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.132 * [backup-simplify]: Simplify (+ 1 0) into 1
0.132 * [taylor]: Taking taylor expansion of 1 in y
0.132 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [taylor]: Taking taylor expansion of 0 in y
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
0.136 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y)))
0.136 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y)))
0.136 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y
0.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.136 * [taylor]: Taking taylor expansion of 2 in y
0.136 * [backup-simplify]: Simplify 2 into 2
0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.136 * [taylor]: Taking taylor expansion of y in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [backup-simplify]: Simplify (* 2 1) into 2
0.137 * [backup-simplify]: Simplify (- 2) into -2
0.137 * [backup-simplify]: Simplify -2 into -2
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [taylor]: Taking taylor expansion of 0 in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.145 * [backup-simplify]: Simplify (- 0) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y))
0.146 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.146 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.146 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.146 * [taylor]: Taking taylor expansion of x in y
0.146 * [backup-simplify]: Simplify x into x
0.146 * [taylor]: Taking taylor expansion of y in y
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.146 * [taylor]: Taking taylor expansion of x in x
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [taylor]: Taking taylor expansion of y in x
0.146 * [backup-simplify]: Simplify y into y
0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.146 * [taylor]: Taking taylor expansion of x in x
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.147 * [taylor]: Taking taylor expansion of y in x
0.147 * [backup-simplify]: Simplify y into y
0.147 * [backup-simplify]: Simplify (+ 0 y) into y
0.147 * [taylor]: Taking taylor expansion of y in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [taylor]: Taking taylor expansion of 0 in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (* 1 1) into 1
0.148 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [taylor]: Taking taylor expansion of 1 in y
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.150 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.150 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.150 * [taylor]: Taking taylor expansion of x in y
0.150 * [backup-simplify]: Simplify x into x
0.150 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.150 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.150 * [taylor]: Taking taylor expansion of y in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.151 * [taylor]: Taking taylor expansion of x in x
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (* 1 1) into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.151 * [taylor]: Taking taylor expansion of y in x
0.151 * [backup-simplify]: Simplify y into y
0.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.151 * [taylor]: Taking taylor expansion of x in x
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (* 1 1) into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.152 * [taylor]: Taking taylor expansion of y in x
0.152 * [backup-simplify]: Simplify y into y
0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [taylor]: Taking taylor expansion of 1 in y
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [taylor]: Taking taylor expansion of 0 in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.156 * [taylor]: Taking taylor expansion of y in y
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [taylor]: Taking taylor expansion of 0 in y
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.163 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.163 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.163 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.163 * [taylor]: Taking taylor expansion of x in y
0.163 * [backup-simplify]: Simplify x into x
0.163 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.163 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.163 * [taylor]: Taking taylor expansion of y in y
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (/ 1 1) into 1
0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.163 * [taylor]: Taking taylor expansion of x in x
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (* 1 1) into 1
0.164 * [backup-simplify]: Simplify (/ 1 1) into 1
0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.164 * [taylor]: Taking taylor expansion of y in x
0.164 * [backup-simplify]: Simplify y into y
0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.164 * [taylor]: Taking taylor expansion of x in x
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify (* 1 1) into 1
0.165 * [backup-simplify]: Simplify (/ 1 1) into 1
0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.165 * [taylor]: Taking taylor expansion of y in x
0.165 * [backup-simplify]: Simplify y into y
0.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.166 * [backup-simplify]: Simplify (+ 1 0) into 1
0.166 * [taylor]: Taking taylor expansion of 1 in y
0.166 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [taylor]: Taking taylor expansion of 0 in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.170 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.170 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.170 * [taylor]: Taking taylor expansion of y in y
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [backup-simplify]: Simplify (- 1) into -1
0.171 * [backup-simplify]: Simplify -1 into -1
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.173 * [backup-simplify]: Simplify (- 0) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [taylor]: Taking taylor expansion of 0 in y
0.173 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- 0) into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.176 * [backup-simplify]: Simplify (- 0) into 0
0.177 * [backup-simplify]: Simplify (+ 0 0) into 0
0.177 * [taylor]: Taking taylor expansion of 0 in y
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.177 * * * [progress]: simplifying candidates
0.178 * [simplify]: Simplifying:
  (* (* (exp (* x x)) (exp y)) (exp y))
  (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3))
  (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))
  (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))
  (- (+ (* x x) y) y)
  (+ (+ (* x x) y) y)
  (+ y y)
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.178 * [simplify]: Sending expressions to egg_math:
 (* (* (exp (* h1 h1)) (exp h0)) (exp h0))
 (* (exp (+ (* h1 h1) h0)) (exp h0))
 (log (+ (+ (* h1 h1) h0) h0))
 (exp (+ (+ (* h1 h1) h0) h0))
 (* (cbrt (+ (+ (* h1 h1) h0) h0)) (cbrt (+ (+ (* h1 h1) h0) h0)))
 (cbrt (+ (+ (* h1 h1) h0) h0))
 (* (* (+ (+ (* h1 h1) h0) h0) (+ (+ (* h1 h1) h0) h0)) (+ (+ (* h1 h1) h0) h0))
 (sqrt (+ (+ (* h1 h1) h0) h0))
 (sqrt (+ (+ (* h1 h1) h0) h0))
 (+ (pow (+ (* h1 h1) h0) 3) (pow h0 3))
 (+ (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (- (* h0 h0) (* (+ (* h1 h1) h0) h0)))
 (- (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (* h0 h0))
 (- (+ (* h1 h1) h0) h0)
 (+ (+ (* h1 h1) h0) h0)
 (+ h0 h0)
 (* (exp (* h1 h1)) (exp h0))
 (log (+ (* h1 h1) h0))
 (exp (+ (* h1 h1) h0))
 (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0)))
 (cbrt (+ (* h1 h1) h0))
 (* (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (+ (* h1 h1) h0))
 (sqrt (+ (* h1 h1) h0))
 (sqrt (+ (* h1 h1) h0))
 (+ (pow (* h1 h1) 3) (pow h0 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0)))
 (- (* (* h1 h1) (* h1 h1)) (* h0 h0))
 (- (* h1 h1) h0)
 (+ (pow h1 2) (* 2 h0))
 (+ (pow h1 2) (* 2 h0))
 (+ (pow h1 2) (* 2 h0))
 (+ (pow h1 2) h0)
 (+ (pow h1 2) h0)
 (+ (pow h1 2) h0)
0.224 * * * [progress]: adding candidates to table
0.297 * * [progress]: iteration 2 / 4
0.297 * * * [progress]: picking best candidate
0.299 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (+ y y)))>
0.299 * * * [progress]: localizing error
0.307 * * * [progress]: generating rewritten candidates
0.307 * * * [progress]: generating series expansions
0.307 * * * [progress]: simplifying candidates
0.307 * [simplify]: Simplifying:
  
0.307 * [simplify]: Sending expressions to egg_math:
 
0.309 * * * [progress]: adding candidates to table
0.309 * [progress]: [Phase 3 of 3] Extracting.
0.311 * [simplify]: Simplifying:
  (+ (* x x) (+ y y))
0.311 * [simplify]: Sending expressions to egg_math:
 (+ (* h1 h1) (+ h0 h0))
1.509 * [regime-testing]: Baseline error score: 0.004750593824228029
1.511 * [regime-testing]: Oracle error score: 0.004750593824228029
1.512 * [regime-testing]: End program error score: 0.004750593824228029
1.541 * [regime-testing]: Target error score: 0.004750593824228029