22.418 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.023 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.024 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) (* h0 h0)))
0.042 * * [progress]: iteration 1 / 4
0.042 * * * [progress]: picking best candidate
0.044 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.044 * * * [progress]: localizing error
0.053 * * * [progress]: generating rewritten candidates
0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.073 * * * [progress]: generating series expansions
0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.073 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.073 * [taylor]: Taking taylor expansion of x in y
0.073 * [backup-simplify]: Simplify x into x
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.074 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.074 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.074 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [backup-simplify]: Simplify y into y
0.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.075 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.076 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.076 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.076 * [taylor]: Taking taylor expansion of x in x
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.076 * [backup-simplify]: Simplify y into y
0.076 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.076 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.077 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.078 * [backup-simplify]: Simplify (+ 1 0) into 1
0.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.079 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.079 * [taylor]: Taking taylor expansion of 1/2 in y
0.079 * [backup-simplify]: Simplify 1/2 into 1/2
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.083 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.083 * [taylor]: Taking taylor expansion of x in y
0.083 * [backup-simplify]: Simplify x into x
0.083 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.084 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.084 * [taylor]: Taking taylor expansion of y in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (/ 1 1) into 1
0.085 * [backup-simplify]: Simplify (+ 0 1) into 1
0.085 * [backup-simplify]: Simplify (sqrt 1) into 1
0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.088 * [taylor]: Taking taylor expansion of y in x
0.088 * [backup-simplify]: Simplify y into y
0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.088 * [backup-simplify]: Simplify (+ 1 0) into 1
0.089 * [backup-simplify]: Simplify (sqrt 1) into 1
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [backup-simplify]: Simplify y into y
0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (sqrt 1) into 1
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.097 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.097 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.097 * [taylor]: Taking taylor expansion of 1/2 in y
0.097 * [backup-simplify]: Simplify 1/2 into 1/2
0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
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
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.102 * [taylor]: Taking taylor expansion of 0 in y
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.104 * [taylor]: Taking taylor expansion of x in y
0.104 * [backup-simplify]: Simplify x into x
0.104 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.104 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
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
0.104 * [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
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.107 * [taylor]: Taking taylor expansion of x in x
0.107 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.109 * [backup-simplify]: Simplify (+ 1 0) into 1
0.109 * [backup-simplify]: Simplify (sqrt 1) into 1
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.111 * [taylor]: Taking taylor expansion of x in x
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (/ 1 1) into 1
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.112 * [taylor]: Taking taylor expansion of y in x
0.112 * [backup-simplify]: Simplify y into y
0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.112 * [backup-simplify]: Simplify (+ 1 0) into 1
0.113 * [backup-simplify]: Simplify (sqrt 1) into 1
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.115 * [taylor]: Taking taylor expansion of 1 in y
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [taylor]: Taking taylor expansion of 0 in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.117 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.117 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.117 * [taylor]: Taking taylor expansion of 1/2 in y
0.117 * [backup-simplify]: Simplify 1/2 into 1/2
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.122 * [taylor]: Taking taylor expansion of 0 in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.124 * * * [progress]: simplifying candidates
0.124 * [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))))
  y
  x
  (* -1 x)
0.125 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 h0
 h1
 (* -1 h1)
2.086 * * * [progress]: adding candidates to table
2.149 * * [progress]: iteration 2 / 4
2.149 * * * [progress]: picking best candidate
2.152 * * * * [pick]: Picked  #<alt (λ (x y) y)>
2.153 * * * [progress]: localizing error
2.154 * * * [progress]: generating rewritten candidates
2.154 * * * [progress]: generating series expansions
2.154 * * * [progress]: simplifying candidates
2.154 * [simplify]: Simplifying:
  
2.154 * [simplify]: Sending expressions to egg_math:
 
2.170 * * * [progress]: adding candidates to table
2.170 * * [progress]: iteration 3 / 4
2.170 * * * [progress]: picking best candidate
2.173 * * * * [pick]: Picked  #<alt (λ (x y) (* -1 x))>
2.173 * * * [progress]: localizing error
2.177 * * * [progress]: generating rewritten candidates
2.177 * * * [progress]: generating series expansions
2.177 * * * [progress]: simplifying candidates
2.177 * [simplify]: Simplifying:
  
2.177 * [simplify]: Sending expressions to egg_math:
 
2.194 * * * [progress]: adding candidates to table
2.194 * * [progress]: iteration 4 / 4
2.195 * * * [progress]: picking best candidate
2.196 * * * * [pick]: Picked  #<alt (λ (x y) x)>
2.196 * * * [progress]: localizing error
2.197 * * * [progress]: generating rewritten candidates
2.197 * * * [progress]: generating series expansions
2.198 * * * [progress]: simplifying candidates
2.198 * [simplify]: Simplifying:
  
2.198 * [simplify]: Sending expressions to egg_math:
 
2.214 * * * [progress]: adding candidates to table
2.215 * [progress]: [Phase 3 of 3] Extracting.
2.215 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.215 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
2.215 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.234 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.253 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.269 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
2.284 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.304 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.330 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.350 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.376 * * * [regime]: Found split indices: #<option (#s(si 2 35) #s(si 1 217) #s(si 3 255))>
2.376 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.418 * [regimes]: Found splitpoints: (#s(sp 2 x -2.176665368798762e+117) #s(sp 1 x 1.0485657510896514e+96) #s(sp 3 x +nan.0)) , with alts (#<alt (λ (x y) y)> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
2.418 * [simplify]: Simplifying:
  (if (<= x -2.176665368798762e+117) (* -1 x) (if (<= x 1.0485657510896514e+96) (sqrt (+ (* x x) (* y y))) x))
2.418 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -2.176665368798762e+117) (* -1 h0) (if (<= h0 1.0485657510896514e+96) (sqrt (+ (* h0 h0) (* h1 h1))) h0))
3.153 * [regime-testing]: Baseline error score: 31.722102892284383
3.156 * [regime-testing]: Oracle error score: 7.949369156113318
3.162 * [regime-testing]: End program error score: 17.98512400419291
3.199 * [regime-testing]: Target error score: 17.968919191481564