3.304 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.014 * * * [progress]: [2/2] Setting up program.
0.021 * [progress]: [Phase 2 of 3] Improving.
0.021 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.022 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.023 * * [simplify]: iteration  1 :  13  enodes  (cost  12 )
0.025 * * [simplify]: iteration  2 :  19  enodes  (cost  12 )
0.027 * * [simplify]: iteration  3 :  20  enodes  (cost  12 )
0.029 * * [simplify]: iteration  done :  20  enodes  (cost  12 )
0.029 * [simplify]: Simplified to:
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.030 * * [progress]: iteration 1 / 4
0.030 * * * [progress]: picking best candidate
0.032 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.032 * * * [progress]: localizing error
0.039 * * * [progress]: generating rewritten candidates
0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.063 * * * [progress]: generating series expansions
0.063 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.064 * [taylor]: Taking taylor expansion of x in z
0.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.064 * [taylor]: Taking taylor expansion of y in z
0.064 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.064 * [taylor]: Taking taylor expansion of z in z
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 (+ (pow y 2) (pow z 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.065 * [taylor]: Taking taylor expansion of y in y
0.065 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.065 * [taylor]: Taking taylor expansion of z in y
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.066 * [taylor]: Taking taylor expansion of z in x
0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.068 * [taylor]: Taking taylor expansion of y in x
0.068 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.068 * [taylor]: Taking taylor expansion of z in x
0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.069 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.069 * [taylor]: Taking taylor expansion of z in y
0.069 * [taylor]: Taking taylor expansion of z in z
0.069 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [taylor]: Taking taylor expansion of 0 in z
0.069 * [taylor]: Taking taylor expansion of 0 in z
0.071 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.071 * [taylor]: Taking taylor expansion of 1/2 in y
0.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.072 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.072 * [taylor]: Taking taylor expansion of z in y
0.072 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.072 * [taylor]: Taking taylor expansion of 1/2 in z
0.072 * [taylor]: Taking taylor expansion of z in z
0.073 * [taylor]: Taking taylor expansion of 0 in z
0.074 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.074 * [taylor]: Taking taylor expansion of 1/2 in z
0.074 * [taylor]: Taking taylor expansion of z in z
0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.076 * [taylor]: Taking taylor expansion of x in z
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.076 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.076 * [taylor]: Taking taylor expansion of z in z
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.077 * [taylor]: Taking taylor expansion of y in z
0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.079 * [taylor]: Taking taylor expansion of x 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 (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.084 * [taylor]: Taking taylor expansion of z in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.086 * [taylor]: Taking taylor expansion of x in x
0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.086 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.086 * [taylor]: Taking taylor expansion of z in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.087 * [taylor]: Taking taylor expansion of y in x
0.089 * [taylor]: Taking taylor expansion of 1 in y
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [taylor]: Taking taylor expansion of 1 in z
0.091 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.091 * [taylor]: Taking taylor expansion of 1/2 in y
0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.091 * [taylor]: Taking taylor expansion of z in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
0.094 * [taylor]: Taking taylor expansion of 0 in z
0.094 * [taylor]: Taking taylor expansion of 0 in z
0.094 * [taylor]: Taking taylor expansion of 0 in z
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.101 * [taylor]: Taking taylor expansion of 1/2 in z
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.101 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.101 * [taylor]: Taking taylor expansion of z in z
0.103 * [taylor]: Taking taylor expansion of 0 in z
0.103 * [taylor]: Taking taylor expansion of 0 in z
0.107 * [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
0.107 * [taylor]: Taking taylor expansion of -1/2 in y
0.107 * [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
0.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.107 * [taylor]: Taking taylor expansion of 1/4 in y
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.107 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.107 * [taylor]: Taking taylor expansion of z in y
0.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.107 * [taylor]: Taking taylor expansion of 1/2 in y
0.107 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.107 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.107 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.107 * [taylor]: Taking taylor expansion of z in y
0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.107 * [taylor]: Taking taylor expansion of y in y
0.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.108 * [taylor]: Taking taylor expansion of 1/4 in y
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.108 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.108 * [taylor]: Taking taylor expansion of y in y
0.118 * [taylor]: Taking taylor expansion of 0 in z
0.118 * [taylor]: Taking taylor expansion of 0 in z
0.120 * [taylor]: Taking taylor expansion of 0 in z
0.120 * [taylor]: Taking taylor expansion of 0 in z
0.120 * [taylor]: Taking taylor expansion of 0 in z
0.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.122 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.122 * [taylor]: Taking taylor expansion of x in z
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.122 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.122 * [taylor]: Taking taylor expansion of z in z
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.123 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.123 * [taylor]: Taking taylor expansion of y in z
0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.125 * [taylor]: Taking taylor expansion of x in y
0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.126 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.126 * [taylor]: Taking taylor expansion of z in y
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.129 * [taylor]: Taking taylor expansion of z in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.130 * [taylor]: Taking taylor expansion of y in x
0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.132 * [taylor]: Taking taylor expansion of x in x
0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.132 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.132 * [taylor]: Taking taylor expansion of z in x
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.132 * [taylor]: Taking taylor expansion of y in x
0.134 * [taylor]: Taking taylor expansion of 1 in y
0.134 * [taylor]: Taking taylor expansion of 0 in y
0.134 * [taylor]: Taking taylor expansion of 1 in z
0.137 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.137 * [taylor]: Taking taylor expansion of 1/2 in y
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.137 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.137 * [taylor]: Taking taylor expansion of z in y
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.137 * [taylor]: Taking taylor expansion of y in y
0.139 * [taylor]: Taking taylor expansion of 0 in z
0.139 * [taylor]: Taking taylor expansion of 0 in z
0.139 * [taylor]: Taking taylor expansion of 0 in z
0.142 * [taylor]: Taking taylor expansion of 0 in y
0.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.143 * [taylor]: Taking taylor expansion of 1/2 in z
0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.143 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.143 * [taylor]: Taking taylor expansion of z in z
0.145 * [taylor]: Taking taylor expansion of 0 in z
0.145 * [taylor]: Taking taylor expansion of 0 in z
0.149 * [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
0.149 * [taylor]: Taking taylor expansion of -1/2 in y
0.149 * [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
0.149 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.149 * [taylor]: Taking taylor expansion of 1/4 in y
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.149 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.149 * [taylor]: Taking taylor expansion of z in y
0.149 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.149 * [taylor]: Taking taylor expansion of 1/2 in y
0.149 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.149 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.149 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.149 * [taylor]: Taking taylor expansion of z in y
0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.149 * [taylor]: Taking taylor expansion of y in y
0.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.150 * [taylor]: Taking taylor expansion of 1/4 in y
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.150 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.150 * [taylor]: Taking taylor expansion of y in y
0.160 * [taylor]: Taking taylor expansion of 0 in z
0.160 * [taylor]: Taking taylor expansion of 0 in z
0.162 * [taylor]: Taking taylor expansion of 0 in z
0.162 * [taylor]: Taking taylor expansion of 0 in z
0.162 * [taylor]: Taking taylor expansion of 0 in z
0.164 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.164 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0
0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.164 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.164 * [taylor]: Taking taylor expansion of x in z
0.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.164 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.164 * [taylor]: Taking taylor expansion of y in z
0.164 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.164 * [taylor]: Taking taylor expansion of z in z
0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.164 * [taylor]: Taking taylor expansion of x in y
0.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.165 * [taylor]: Taking taylor expansion of y in y
0.165 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.165 * [taylor]: Taking taylor expansion of z in y
0.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.165 * [taylor]: Taking taylor expansion of x in x
0.165 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.165 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.165 * [taylor]: Taking taylor expansion of y in x
0.165 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.165 * [taylor]: Taking taylor expansion of z in x
0.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.165 * [taylor]: Taking taylor expansion of x in x
0.165 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.165 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.165 * [taylor]: Taking taylor expansion of y in x
0.165 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.165 * [taylor]: Taking taylor expansion of z in x
0.165 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.165 * [taylor]: Taking taylor expansion of y in y
0.165 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.165 * [taylor]: Taking taylor expansion of z in y
0.165 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.165 * [taylor]: Taking taylor expansion of z in z
0.166 * [taylor]: Taking taylor expansion of 0 in y
0.166 * [taylor]: Taking taylor expansion of 0 in z
0.166 * [taylor]: Taking taylor expansion of 0 in z
0.168 * [taylor]: Taking taylor expansion of 1 in y
0.168 * [taylor]: Taking taylor expansion of 1 in z
0.168 * [taylor]: Taking taylor expansion of 0 in z
0.168 * [taylor]: Taking taylor expansion of 1 in z
0.169 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.169 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.170 * [taylor]: Taking taylor expansion of x in z
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.170 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.170 * [taylor]: Taking taylor expansion of z in z
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.170 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.170 * [taylor]: Taking taylor expansion of y in z
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.170 * [taylor]: Taking taylor expansion of x in y
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.170 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.171 * [taylor]: Taking taylor expansion of z in y
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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.171 * [taylor]: Taking taylor expansion of x in x
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.172 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.172 * [taylor]: Taking taylor expansion of z in x
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.172 * [taylor]: Taking taylor expansion of y in x
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.172 * [taylor]: Taking taylor expansion of x in x
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.173 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.173 * [taylor]: Taking taylor expansion of z in x
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.173 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.173 * [taylor]: Taking taylor expansion of y in x
0.173 * [taylor]: Taking taylor expansion of 1 in y
0.174 * [taylor]: Taking taylor expansion of 0 in y
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.176 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.176 * [taylor]: Taking taylor expansion of z in y
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.176 * [taylor]: Taking taylor expansion of y in y
0.176 * [taylor]: Taking taylor expansion of 1 in z
0.176 * [taylor]: Taking taylor expansion of 1 in z
0.179 * [taylor]: Taking taylor expansion of 0 in y
0.180 * [taylor]: Taking taylor expansion of 0 in z
0.180 * [taylor]: Taking taylor expansion of 0 in z
0.180 * [taylor]: Taking taylor expansion of 0 in z
0.182 * [taylor]: Taking taylor expansion of 0 in y
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.183 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.183 * [taylor]: Taking taylor expansion of z in z
0.184 * [taylor]: Taking taylor expansion of 0 in z
0.184 * [taylor]: Taking taylor expansion of 0 in z
0.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.189 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.189 * [taylor]: Taking taylor expansion of x in z
0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.190 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.190 * [taylor]: Taking taylor expansion of z in z
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.190 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.190 * [taylor]: Taking taylor expansion of y in z
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.191 * [taylor]: Taking taylor expansion of x in y
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.191 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.191 * [taylor]: Taking taylor expansion of z in y
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.191 * [taylor]: Taking taylor expansion of y in y
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.191 * [taylor]: Taking taylor expansion of x in x
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.192 * [taylor]: Taking taylor expansion of z in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.192 * [taylor]: Taking taylor expansion of x in x
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.193 * [taylor]: Taking taylor expansion of z in x
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.193 * [taylor]: Taking taylor expansion of y in x
0.193 * [taylor]: Taking taylor expansion of 1 in y
0.194 * [taylor]: Taking taylor expansion of 0 in y
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.196 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.196 * [taylor]: Taking taylor expansion of z in y
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.196 * [taylor]: Taking taylor expansion of y in y
0.197 * [taylor]: Taking taylor expansion of 1 in z
0.197 * [taylor]: Taking taylor expansion of 1 in z
0.199 * [taylor]: Taking taylor expansion of 0 in y
0.200 * [taylor]: Taking taylor expansion of 0 in z
0.200 * [taylor]: Taking taylor expansion of 0 in z
0.200 * [taylor]: Taking taylor expansion of 0 in z
0.203 * [taylor]: Taking taylor expansion of 0 in y
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.204 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.204 * [taylor]: Taking taylor expansion of z in z
0.204 * [taylor]: Taking taylor expansion of 0 in z
0.204 * [taylor]: Taking taylor expansion of 0 in z
0.205 * * * [progress]: simplifying candidates
0.206 * [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))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  z
  x
  (* -1 x)
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.208 * * [simplify]: iteration  0 :  58  enodes  (cost  576 )
0.218 * * [simplify]: iteration  1 :  144  enodes  (cost  534 )
0.250 * * [simplify]: iteration  2 :  582  enodes  (cost  490 )