16.100 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.014 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.020 * * [simplify]: iteration  0 :  13  enodes  (cost  6 )
0.022 * * [simplify]: iteration  1 :  20  enodes  (cost  6 )
0.023 * * [simplify]: iteration  2 :  22  enodes  (cost  6 )
0.024 * * [simplify]: iteration  3 :  22  enodes  (cost  6 )
0.024 * [simplify]: Simplified to:
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.025 * * [progress]: iteration 1 / 4
0.025 * * * [progress]: picking best candidate
0.027 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.027 * * * [progress]: localizing error
0.034 * * * [progress]: generating rewritten candidates
0.034 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.050 * * * [progress]: generating series expansions
0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.051 * [taylor]: Taking taylor expansion of x in z
0.051 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.051 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.051 * [taylor]: Taking taylor expansion of y in z
0.051 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.051 * [taylor]: Taking taylor expansion of z in z
0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.052 * [taylor]: Taking taylor expansion of x in y
0.052 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.052 * [taylor]: Taking taylor expansion of y in y
0.052 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.052 * [taylor]: Taking taylor expansion of z in y
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
0.054 * [taylor]: Taking taylor expansion of z in x
0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.055 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.055 * [taylor]: Taking taylor expansion of z in x
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.056 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.056 * [taylor]: Taking taylor expansion of y in y
0.056 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.056 * [taylor]: Taking taylor expansion of z in y
0.057 * [taylor]: Taking taylor expansion of z in z
0.057 * [taylor]: Taking taylor expansion of 0 in y
0.057 * [taylor]: Taking taylor expansion of 0 in z
0.057 * [taylor]: Taking taylor expansion of 0 in z
0.059 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.059 * [taylor]: Taking taylor expansion of 1/2 in y
0.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.059 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.059 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.059 * [taylor]: Taking taylor expansion of z in y
0.063 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.064 * [taylor]: Taking taylor expansion of 1/2 in z
0.064 * [taylor]: Taking taylor expansion of z in z
0.065 * [taylor]: Taking taylor expansion of 0 in z
0.066 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.066 * [taylor]: Taking taylor expansion of 1/2 in z
0.066 * [taylor]: Taking taylor expansion of z in z
0.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.067 * [taylor]: Taking taylor expansion of x in z
0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.067 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.067 * [taylor]: Taking taylor expansion of z in z
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.068 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.068 * [taylor]: Taking taylor expansion of y in z
0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.071 * [taylor]: Taking taylor expansion of x in y
0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.071 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.071 * [taylor]: Taking taylor expansion of z in y
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.074 * [taylor]: Taking taylor expansion of x in x
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.074 * [taylor]: Taking taylor expansion of z in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.077 * [taylor]: Taking taylor expansion of z in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of 1 in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [taylor]: Taking taylor expansion of 1 in z
0.082 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.082 * [taylor]: Taking taylor expansion of 1/2 in y
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.082 * [taylor]: Taking taylor expansion of z in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.084 * [taylor]: Taking taylor expansion of 0 in z
0.085 * [taylor]: Taking taylor expansion of 0 in z
0.085 * [taylor]: Taking taylor expansion of 0 in z
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.089 * [taylor]: Taking taylor expansion of 1/2 in z
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.089 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.089 * [taylor]: Taking taylor expansion of z in z
0.091 * [taylor]: Taking taylor expansion of 0 in z
0.091 * [taylor]: Taking taylor expansion of 0 in z
0.094 * [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
0.094 * [taylor]: Taking taylor expansion of -1/2 in y
0.094 * [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
0.094 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.094 * [taylor]: Taking taylor expansion of 1/4 in y
0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.095 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.095 * [taylor]: Taking taylor expansion of z in y
0.095 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.095 * [taylor]: Taking taylor expansion of 1/2 in y
0.095 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.095 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.095 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.095 * [taylor]: Taking taylor expansion of z in y
0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.095 * [taylor]: Taking taylor expansion of y in y
0.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.095 * [taylor]: Taking taylor expansion of 1/4 in y
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.095 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.095 * [taylor]: Taking taylor expansion of y in y
0.105 * [taylor]: Taking taylor expansion of 0 in z
0.105 * [taylor]: Taking taylor expansion of 0 in z
0.107 * [taylor]: Taking taylor expansion of 0 in z
0.108 * [taylor]: Taking taylor expansion of 0 in z
0.108 * [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
0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.110 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.110 * [taylor]: Taking taylor expansion of x in z
0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.110 * [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
0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.116 * [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
0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.119 * [taylor]: Taking taylor expansion of x in x
0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.119 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.119 * [taylor]: Taking taylor expansion of z in x
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.119 * [taylor]: Taking taylor expansion of y in x
0.121 * [taylor]: Taking taylor expansion of 1 in y
0.121 * [taylor]: Taking taylor expansion of 0 in y
0.122 * [taylor]: Taking taylor expansion of 1 in z
0.124 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.124 * [taylor]: Taking taylor expansion of 1/2 in y
0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.124 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.124 * [taylor]: Taking taylor expansion of z in y
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.124 * [taylor]: Taking taylor expansion of y in y
0.126 * [taylor]: Taking taylor expansion of 0 in z
0.126 * [taylor]: Taking taylor expansion of 0 in z
0.126 * [taylor]: Taking taylor expansion of 0 in z
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.130 * [taylor]: Taking taylor expansion of 1/2 in z
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.130 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.130 * [taylor]: Taking taylor expansion of z in z
0.132 * [taylor]: Taking taylor expansion of 0 in z
0.132 * [taylor]: Taking taylor expansion of 0 in z
0.135 * [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
0.135 * [taylor]: Taking taylor expansion of -1/2 in y
0.135 * [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
0.135 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.135 * [taylor]: Taking taylor expansion of 1/4 in y
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.135 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.135 * [taylor]: Taking taylor expansion of z in y
0.136 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.136 * [taylor]: Taking taylor expansion of 1/2 in y
0.136 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.136 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.136 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.136 * [taylor]: Taking taylor expansion of z in y
0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.136 * [taylor]: Taking taylor expansion of y in y
0.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.136 * [taylor]: Taking taylor expansion of 1/4 in y
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.136 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.136 * [taylor]: Taking taylor expansion of y in y
0.152 * [taylor]: Taking taylor expansion of 0 in z
0.152 * [taylor]: Taking taylor expansion of 0 in z
0.154 * [taylor]: Taking taylor expansion of 0 in z
0.154 * [taylor]: Taking taylor expansion of 0 in z
0.154 * [taylor]: Taking taylor expansion of 0 in z
0.156 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.156 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.156 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.156 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.156 * [taylor]: Taking taylor expansion of x in y
0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.156 * [taylor]: Taking taylor expansion of y in y
0.156 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.156 * [taylor]: Taking taylor expansion of x in x
0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.156 * [taylor]: Taking taylor expansion of y in x
0.156 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.156 * [taylor]: Taking taylor expansion of x in x
0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.156 * [taylor]: Taking taylor expansion of y in x
0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.157 * [taylor]: Taking taylor expansion of y in y
0.157 * [taylor]: Taking taylor expansion of 0 in y
0.158 * [taylor]: Taking taylor expansion of 1 in y
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.161 * [taylor]: Taking taylor expansion of x in y
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.161 * [taylor]: Taking taylor expansion of y in y
0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.162 * [taylor]: Taking taylor expansion of x in x
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.162 * [taylor]: Taking taylor expansion of y in x
0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.163 * [taylor]: Taking taylor expansion of y in x
0.164 * [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
0.170 * [taylor]: Taking taylor expansion of 0 in y
0.172 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.172 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.172 * [taylor]: Taking taylor expansion of x in y
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.172 * [taylor]: Taking taylor expansion of y in y
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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
0.173 * [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 (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 in y
0.175 * [taylor]: Taking taylor expansion of 0 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
0.178 * [taylor]: Taking taylor expansion of 0 in y
0.181 * [taylor]: Taking taylor expansion of 0 in y
0.182 * * * [progress]: simplifying candidates
0.183 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (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))
0.187 * * [simplify]: iteration  0 :  173  enodes  (cost  212 )
0.192 * * [simplify]: iteration  1 :  707  enodes  (cost  203 )
0.203 * * [simplify]: iteration  2 :  1993  enodes  (cost  203 )
0.243 * * [simplify]: iteration  3 :  5001  enodes  (cost  202 )
0.244 * [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 (+ (* 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) (* 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 x) 3) (pow (* y y) 3))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (+ (* (- (pow y 3)) y) (pow x 4))
  (- (* 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))
0.244 * * * [progress]: adding candidates to table
0.331 * * [progress]: iteration 2 / 4
0.331 * * * [progress]: picking best candidate
0.334 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
0.334 * * * [progress]: localizing error
0.335 * * * [progress]: generating rewritten candidates
0.335 * * * [progress]: generating series expansions
0.335 * * * [progress]: simplifying candidates
0.335 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.337 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.338 * [simplify]: Simplified to:
   
0.338 * * * [progress]: adding candidates to table
0.338 * * [progress]: iteration 3 / 4
0.338 * * * [progress]: picking best candidate
0.340 * * * * [pick]: Picked  #<alt (λ (x y z) (* -1 x))>
0.340 * * * [progress]: localizing error
0.342 * * * [progress]: generating rewritten candidates
0.342 * * * [progress]: generating series expansions
0.342 * * * [progress]: simplifying candidates
0.342 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.346 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.346 * [simplify]: Simplified to:
   
0.346 * * * [progress]: adding candidates to table
0.346 * * [progress]: iteration 4 / 4
0.346 * * * [progress]: picking best candidate
0.348 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
0.348 * * * [progress]: localizing error
0.348 * * * [progress]: generating rewritten candidates
0.348 * * * [progress]: generating series expansions
0.348 * * * [progress]: simplifying candidates
0.348 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.351 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.352 * [simplify]: Simplified to:
   
0.352 * * * [progress]: adding candidates to table
0.352 * [progress]: [Phase 3 of 3] Extracting.
0.352 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.352 * * * [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)
0.352 * * * * [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) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.369 * * * * [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) (* -1 x))>)
0.389 * * * * [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) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.407 * * * * [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)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.426 * * * * [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)>)
0.440 * * * * [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)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.460 * * * * [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)>)
0.475 * * * * [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) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.494 * * * * [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) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.517 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.547 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.572 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.604 * * * [regime]: Found split indices: #<option (#s(si 3 41) #s(si 0 212) #s(si 2 255))>
0.604 * [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) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.672 * [regimes]: Found splitpoints: (#s(sp 3 x -1.4467202670789784e+138) #s(sp 0 x 1.096043779466603e+127) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
0.672 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.4467202670789784e+138) (* -1 x) (if (<= x 1.096043779466603e+127) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
0.673 * * [simplify]: iteration  0 :  21  enodes  (cost  7 )
0.673 * * [simplify]: iteration  1 :  21  enodes  (cost  7 )
0.674 * [simplify]: Simplified to:
   (if (<= x -1.4467202670789784e+138) (* -1 x) (if (<= x 1.096043779466603e+127) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
1.220 * [regime-testing]: Baseline error score: 38.64214761907863
1.221 * [regime-testing]: Oracle error score: 18.593415209676497
1.222 * [regime-testing]: End program error score: 25.587479853014024
1.257 * [regime-testing]: Target error score: 26.08195186336871