26.732 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.015 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.018 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.019 * * [simplify]: iteration  1 :  13  enodes  (cost  12 )
0.021 * * [simplify]: iteration  2 :  19  enodes  (cost  12 )
0.023 * * [simplify]: iteration  done :  19  enodes  (cost  12 )
0.023 * [simplify]: Simplified to:
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.024 * * [progress]: iteration 1 / 4
0.024 * * * [progress]: picking best candidate
0.026 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.026 * * * [progress]: localizing error
0.034 * * * [progress]: generating rewritten candidates
0.034 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.049 * * * [progress]: generating series expansions
0.049 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.049 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.049 * [taylor]: Taking taylor expansion of x in z
0.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.049 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.049 * [taylor]: Taking taylor expansion of y in z
0.049 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.049 * [taylor]: Taking taylor expansion of z in z
0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.051 * [taylor]: Taking taylor expansion of x in y
0.051 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.051 * [taylor]: Taking taylor expansion of y in y
0.051 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.051 * [taylor]: Taking taylor expansion of z in y
0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.052 * [taylor]: Taking taylor expansion of x in x
0.052 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.052 * [taylor]: Taking taylor expansion of y in x
0.052 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.052 * [taylor]: Taking taylor expansion of z in x
0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.053 * [taylor]: Taking taylor expansion of x in x
0.053 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.053 * [taylor]: Taking taylor expansion of y in x
0.053 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.053 * [taylor]: Taking taylor expansion of z in x
0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.054 * [taylor]: Taking taylor expansion of y in y
0.055 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.055 * [taylor]: Taking taylor expansion of z in y
0.055 * [taylor]: Taking taylor expansion of z in z
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.055 * [taylor]: Taking taylor expansion of 0 in z
0.055 * [taylor]: Taking taylor expansion of 0 in z
0.057 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.057 * [taylor]: Taking taylor expansion of 1/2 in y
0.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.057 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.057 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.057 * [taylor]: Taking taylor expansion of y in y
0.057 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.057 * [taylor]: Taking taylor expansion of z in y
0.058 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.058 * [taylor]: Taking taylor expansion of 1/2 in z
0.058 * [taylor]: Taking taylor expansion of z in z
0.059 * [taylor]: Taking taylor expansion of 0 in z
0.060 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.060 * [taylor]: Taking taylor expansion of 1/2 in z
0.060 * [taylor]: Taking taylor expansion of z in z
0.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.062 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.062 * [taylor]: Taking taylor expansion of x in z
0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.062 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.062 * [taylor]: Taking taylor expansion of z in z
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.063 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.063 * [taylor]: Taking taylor expansion of y in z
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.065 * [taylor]: Taking taylor expansion of x in y
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.065 * [taylor]: Taking taylor expansion of z in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.066 * [taylor]: Taking taylor expansion of y in y
0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.069 * [taylor]: Taking taylor expansion of z in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.069 * [taylor]: Taking taylor expansion of y in x
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.075 * [taylor]: Taking taylor expansion of z in x
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.078 * [taylor]: Taking taylor expansion of 1 in y
0.078 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [taylor]: Taking taylor expansion of 1 in z
0.080 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.080 * [taylor]: Taking taylor expansion of 1/2 in y
0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.080 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.080 * [taylor]: Taking taylor expansion of z in y
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.083 * [taylor]: Taking taylor expansion of 0 in z
0.083 * [taylor]: Taking taylor expansion of 0 in z
0.083 * [taylor]: Taking taylor expansion of 0 in z
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.087 * [taylor]: Taking taylor expansion of 1/2 in z
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.087 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.087 * [taylor]: Taking taylor expansion of z in z
0.089 * [taylor]: Taking taylor expansion of 0 in z
0.089 * [taylor]: Taking taylor expansion of 0 in z
0.092 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.092 * [taylor]: Taking taylor expansion of -1/2 in y
0.092 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.092 * [taylor]: Taking taylor expansion of 1/4 in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.092 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.092 * [taylor]: Taking taylor expansion of z in y
0.093 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.093 * [taylor]: Taking taylor expansion of 1/2 in y
0.093 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.093 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.093 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.093 * [taylor]: Taking taylor expansion of z in y
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.093 * [taylor]: Taking taylor expansion of 1/4 in y
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.093 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.104 * [taylor]: Taking taylor expansion of 0 in z
0.104 * [taylor]: Taking taylor expansion of 0 in z
0.107 * [taylor]: Taking taylor expansion of 0 in z
0.107 * [taylor]: Taking taylor expansion of 0 in z
0.107 * [taylor]: Taking taylor expansion of 0 in z
0.109 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.109 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.109 * [taylor]: Taking taylor expansion of x in z
0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.110 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.110 * [taylor]: Taking taylor expansion of z in z
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.110 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.110 * [taylor]: Taking taylor expansion of y in z
0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.113 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.113 * [taylor]: Taking taylor expansion of z in y
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.113 * [taylor]: Taking taylor expansion of y in y
0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.117 * [taylor]: Taking taylor expansion of x in x
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.117 * [taylor]: Taking taylor expansion of z in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.117 * [taylor]: Taking taylor expansion of y in x
0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.120 * [taylor]: Taking taylor expansion of x in x
0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.120 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.120 * [taylor]: Taking taylor expansion of z in x
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.120 * [taylor]: Taking taylor expansion of y in x
0.123 * [taylor]: Taking taylor expansion of 1 in y
0.123 * [taylor]: Taking taylor expansion of 0 in y
0.123 * [taylor]: Taking taylor expansion of 1 in z
0.125 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.125 * [taylor]: Taking taylor expansion of 1/2 in y
0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.125 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.125 * [taylor]: Taking taylor expansion of z in y
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.125 * [taylor]: Taking taylor expansion of y in y
0.127 * [taylor]: Taking taylor expansion of 0 in z
0.127 * [taylor]: Taking taylor expansion of 0 in z
0.128 * [taylor]: Taking taylor expansion of 0 in z
0.130 * [taylor]: Taking taylor expansion of 0 in y
0.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.132 * [taylor]: Taking taylor expansion of 1/2 in z
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.132 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.132 * [taylor]: Taking taylor expansion of z in z
0.133 * [taylor]: Taking taylor expansion of 0 in z
0.133 * [taylor]: Taking taylor expansion of 0 in z
0.137 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.137 * [taylor]: Taking taylor expansion of -1/2 in y
0.137 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.137 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.137 * [taylor]: Taking taylor expansion of 1/4 in y
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.137 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.137 * [taylor]: Taking taylor expansion of z in y
0.138 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.138 * [taylor]: Taking taylor expansion of 1/2 in y
0.138 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.138 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.138 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.138 * [taylor]: Taking taylor expansion of z in y
0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.138 * [taylor]: Taking taylor expansion of y in y
0.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.138 * [taylor]: Taking taylor expansion of 1/4 in y
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.138 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.138 * [taylor]: Taking taylor expansion of y in y
0.149 * [taylor]: Taking taylor expansion of 0 in z
0.149 * [taylor]: Taking taylor expansion of 0 in z
0.151 * [taylor]: Taking taylor expansion of 0 in z
0.151 * [taylor]: Taking taylor expansion of 0 in z
0.151 * [taylor]: Taking taylor expansion of 0 in z
0.153 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.153 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.153 * [taylor]: Taking taylor expansion of x in y
0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.153 * [taylor]: Taking taylor expansion of y in y
0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.153 * [taylor]: Taking taylor expansion of x in x
0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.153 * [taylor]: Taking taylor expansion of y in x
0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.153 * [taylor]: Taking taylor expansion of x in x
0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.153 * [taylor]: Taking taylor expansion of y in x
0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.153 * [taylor]: Taking taylor expansion of y in y
0.154 * [taylor]: Taking taylor expansion of 0 in y
0.154 * [taylor]: Taking taylor expansion of 1 in y
0.156 * [taylor]: Taking taylor expansion of 0 in y
0.158 * [taylor]: Taking taylor expansion of 0 in y
0.158 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.158 * [taylor]: Taking taylor expansion of x in y
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.158 * [taylor]: Taking taylor expansion of y in y
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.159 * [taylor]: Taking taylor expansion of x in x
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.160 * [taylor]: Taking taylor expansion of x in x
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.160 * [taylor]: Taking taylor expansion of y in x
0.161 * [taylor]: Taking taylor expansion of 1 in y
0.165 * [taylor]: Taking taylor expansion of 0 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
0.168 * [taylor]: Taking taylor expansion of 0 in y
0.171 * [taylor]: Taking taylor expansion of 0 in y
0.173 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.173 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.173 * [taylor]: Taking taylor expansion of x in y
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.173 * [taylor]: Taking taylor expansion of y in y
0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.173 * [taylor]: Taking taylor expansion of x in x
0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.174 * [taylor]: Taking taylor expansion of y in x
0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.174 * [taylor]: Taking taylor expansion of x in x
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.175 * [taylor]: Taking taylor expansion of y in x
0.175 * [taylor]: Taking taylor expansion of 1 in y
0.176 * [taylor]: Taking taylor expansion of 0 in y
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.177 * [taylor]: Taking taylor expansion of y in y
0.179 * [taylor]: Taking taylor expansion of 0 in y
0.182 * [taylor]: Taking taylor expansion of 0 in y
0.184 * * * [progress]: simplifying candidates
0.184 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (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))
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.186 * * [simplify]: iteration  0 :  63  enodes  (cost  471 )
0.199 * * [simplify]: iteration  1 :  173  enodes  (cost  417 )
0.239 * * [simplify]: iteration  2 :  570  enodes  (cost  387 )
0.449 * * [simplify]: iteration  3 :  1961  enodes  (cost  377 )
1.143 * * [simplify]: iteration  done :  5001  enodes  (cost  377 )
1.143 * [simplify]: Simplified to:
   (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow z 6) (pow (+ (* x x) (* y y)) 3)))
  (sqrt (- (pow z 4) (* (+ (* x x) (* y y)) (- (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (pow z 4)))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  z
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.144 * * * [progress]: adding candidates to table
1.227 * * [progress]: iteration 2 / 4
1.227 * * * [progress]: picking best candidate
1.229 * * * * [pick]: Picked  #<alt (λ (x y z) (- x))>
1.230 * * * [progress]: localizing error
1.231 * * * [progress]: generating rewritten candidates
1.231 * * * [progress]: generating series expansions
1.231 * * * [progress]: simplifying candidates
1.231 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.232 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.232 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.232 * [simplify]: Simplified to:
   
1.232 * * * [progress]: adding candidates to table
1.232 * * [progress]: iteration 3 / 4
1.232 * * * [progress]: picking best candidate
1.234 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
1.234 * * * [progress]: localizing error
1.235 * * * [progress]: generating rewritten candidates
1.235 * * * [progress]: generating series expansions
1.235 * * * [progress]: simplifying candidates
1.235 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.236 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.236 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.236 * [simplify]: Simplified to:
   
1.236 * * * [progress]: adding candidates to table
1.236 * * [progress]: iteration 4 / 4
1.236 * * * [progress]: picking best candidate
1.237 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
1.237 * * * [progress]: localizing error
1.238 * * * [progress]: generating rewritten candidates
1.238 * * * [progress]: generating series expansions
1.238 * * * [progress]: simplifying candidates
1.238 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.239 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.239 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.239 * [simplify]: Simplified to:
   
1.239 * * * [progress]: adding candidates to table
1.239 * [progress]: [Phase 3 of 3] Extracting.
1.239 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.240 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x)
1.240 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.259 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))>)
1.275 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.294 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.311 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
1.329 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.356 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
1.377 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.397 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.419 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.439 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.464 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.491 * * * [regime]: Found split indices: #<option (#s(si 2 37) #s(si 0 212) #s(si 1 255))>
1.491 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.553 * [regimes]: Found splitpoints: (#s(sp 2 x -3.0743391220001314e+144) #s(sp 0 x 4.244899767656578e+97) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
1.553 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x -3.0743391220001314e+144) (- x) (if (<= x 4.244899767656578e+97) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
1.554 * * [simplify]: iteration  0 :  16  enodes  (cost  23 )
1.554 * * [simplify]: iteration  1 :  18  enodes  (cost  23 )
1.555 * * [simplify]: iteration  done :  18  enodes  (cost  23 )
1.555 * [simplify]: Simplified to:
   (if (<= x -3.0743391220001314e+144) (- x) (if (<= x 4.244899767656578e+97) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
2.092 * [regime-testing]: Baseline error score: 38.17051375058854
2.093 * [regime-testing]: Oracle error score: 17.900088184166414
2.094 * [regime-testing]: End program error score: 25.17493684767362
2.129 * [regime-testing]: Target error score: 25.876199888993504