19.202 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.016 * * * [progress]: [2/2] Setting up program.
0.018 * [progress]: [Phase 2 of 3] Improving.
0.019 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.019 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
0.021 * * [simplify]: iteration  0 :  13  enodes  (cost  6 )
0.022 * * [simplify]: iteration  1 :  20  enodes  (cost  6 )
0.024 * * [simplify]: iteration  2 :  22  enodes  (cost  6 )
0.025 * * [simplify]: iteration  3 :  22  enodes  (cost  6 )
0.025 * [simplify]: Simplified to:
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.025 * * [progress]: iteration 1 / 4
0.026 * * * [progress]: picking best candidate
0.027 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.028 * * * [progress]: localizing error
0.036 * * * [progress]: generating rewritten candidates
0.036 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.069 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.077 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.110 * * * [progress]: generating series expansions
0.110 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 (+ (pow y 2) (pow z 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
0.110 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.110 * [taylor]: Taking taylor expansion of z in z
0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.112 * [taylor]: Taking taylor expansion of x in y
0.112 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.112 * [taylor]: Taking taylor expansion of y in y
0.112 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.112 * [taylor]: Taking taylor expansion of z in y
0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.113 * [taylor]: Taking taylor expansion of x in x
0.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.113 * [taylor]: Taking taylor expansion of y in x
0.113 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.113 * [taylor]: Taking taylor expansion of z in x
0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.114 * [taylor]: Taking taylor expansion of x in x
0.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.114 * [taylor]: Taking taylor expansion of y in x
0.114 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.114 * [taylor]: Taking taylor expansion of z in x
0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.115 * [taylor]: Taking taylor expansion of z in y
0.116 * [taylor]: Taking taylor expansion of z in z
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [taylor]: Taking taylor expansion of 0 in z
0.116 * [taylor]: Taking taylor expansion of 0 in z
0.118 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.118 * [taylor]: Taking taylor expansion of 1/2 in y
0.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.118 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.118 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.118 * [taylor]: Taking taylor expansion of z in y
0.118 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.118 * [taylor]: Taking taylor expansion of 1/2 in z
0.118 * [taylor]: Taking taylor expansion of z in z
0.119 * [taylor]: Taking taylor expansion of 0 in z
0.120 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.120 * [taylor]: Taking taylor expansion of 1/2 in z
0.120 * [taylor]: Taking taylor expansion of z in z
0.121 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.121 * [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
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.122 * [taylor]: Taking taylor expansion of y in z
0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.124 * [taylor]: Taking taylor expansion of x 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 (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.128 * [taylor]: Taking taylor expansion of z in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.128 * [taylor]: Taking taylor expansion of y in x
0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.130 * [taylor]: Taking taylor expansion of x in x
0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.130 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.130 * [taylor]: Taking taylor expansion of z in x
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.131 * [taylor]: Taking taylor expansion of y in x
0.132 * [taylor]: Taking taylor expansion of 1 in y
0.132 * [taylor]: Taking taylor expansion of 0 in y
0.132 * [taylor]: Taking taylor expansion of 1 in z
0.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.135 * [taylor]: Taking taylor expansion of 1/2 in y
0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.135 * [taylor]: Taking taylor expansion of z in y
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.135 * [taylor]: Taking taylor expansion of y in y
0.137 * [taylor]: Taking taylor expansion of 0 in z
0.137 * [taylor]: Taking taylor expansion of 0 in z
0.137 * [taylor]: Taking taylor expansion of 0 in z
0.139 * [taylor]: Taking taylor expansion of 0 in y
0.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.140 * [taylor]: Taking taylor expansion of 1/2 in z
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.140 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.140 * [taylor]: Taking taylor expansion of z in z
0.142 * [taylor]: Taking taylor expansion of 0 in z
0.142 * [taylor]: Taking taylor expansion of 0 in z
0.145 * [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
0.145 * [taylor]: Taking taylor expansion of -1/2 in y
0.145 * [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
0.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.145 * [taylor]: Taking taylor expansion of 1/4 in y
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.145 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.145 * [taylor]: Taking taylor expansion of z in y
0.146 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.146 * [taylor]: Taking taylor expansion of 1/2 in y
0.146 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.146 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.146 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.146 * [taylor]: Taking taylor expansion of z in y
0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.146 * [taylor]: Taking taylor expansion of y in y
0.146 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.146 * [taylor]: Taking taylor expansion of 1/4 in y
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.146 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.146 * [taylor]: Taking taylor expansion of y in y
0.155 * [taylor]: Taking taylor expansion of 0 in z
0.155 * [taylor]: Taking taylor expansion of 0 in z
0.157 * [taylor]: Taking taylor expansion of 0 in z
0.157 * [taylor]: Taking taylor expansion of 0 in z
0.157 * [taylor]: Taking taylor expansion of 0 in z
0.159 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.159 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.159 * [taylor]: Taking taylor expansion of x in z
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.159 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.159 * [taylor]: Taking taylor expansion of z in z
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.160 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.160 * [taylor]: Taking taylor expansion of y in z
0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.162 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.162 * [taylor]: Taking taylor expansion of x in y
0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.162 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.162 * [taylor]: Taking taylor expansion of z in y
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.162 * [taylor]: Taking taylor expansion of y in y
0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (/ 1 (pow y 2)) in x
0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.166 * [taylor]: Taking taylor expansion of y in x
0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.167 * [taylor]: Taking taylor expansion of x in x
0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.168 * [taylor]: Taking taylor expansion of z in x
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.168 * [taylor]: Taking taylor expansion of y in x
0.170 * [taylor]: Taking taylor expansion of 1 in y
0.170 * [taylor]: Taking taylor expansion of 0 in y
0.170 * [taylor]: Taking taylor expansion of 1 in z
0.172 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.172 * [taylor]: Taking taylor expansion of 1/2 in y
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.172 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.172 * [taylor]: Taking taylor expansion of z 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
0.174 * [taylor]: Taking taylor expansion of 0 in z
0.174 * [taylor]: Taking taylor expansion of 0 in z
0.174 * [taylor]: Taking taylor expansion of 0 in z
0.176 * [taylor]: Taking taylor expansion of 0 in y
0.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.178 * [taylor]: Taking taylor expansion of 1/2 in z
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.178 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.178 * [taylor]: Taking taylor expansion of z in z
0.179 * [taylor]: Taking taylor expansion of 0 in z
0.179 * [taylor]: Taking taylor expansion of 0 in z
0.183 * [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
0.183 * [taylor]: Taking taylor expansion of -1/2 in y
0.183 * [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
0.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.183 * [taylor]: Taking taylor expansion of 1/4 in y
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.183 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.183 * [taylor]: Taking taylor expansion of z in y
0.183 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.183 * [taylor]: Taking taylor expansion of 1/2 in y
0.183 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.183 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.183 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.183 * [taylor]: Taking taylor expansion of z in y
0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.183 * [taylor]: Taking taylor expansion of y in y
0.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.184 * [taylor]: Taking taylor expansion of 1/4 in y
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.184 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.184 * [taylor]: Taking taylor expansion of y in y
0.193 * [taylor]: Taking taylor expansion of 0 in z
0.193 * [taylor]: Taking taylor expansion of 0 in z
0.198 * [taylor]: Taking taylor expansion of 0 in z
0.198 * [taylor]: Taking taylor expansion of 0 in z
0.198 * [taylor]: Taking taylor expansion of 0 in z
0.200 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.200 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.200 * [taylor]: Taking taylor expansion of x in y
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.200 * [taylor]: Taking taylor expansion of x in x
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.200 * [taylor]: Taking taylor expansion of y in x
0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.200 * [taylor]: Taking taylor expansion of x in x
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.200 * [taylor]: Taking taylor expansion of y in x
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.201 * [taylor]: Taking taylor expansion of 1 in y
0.203 * [taylor]: Taking taylor expansion of 0 in y
0.204 * [taylor]: Taking taylor expansion of 0 in y
0.205 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.205 * [taylor]: Taking taylor expansion of x in y
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.205 * [taylor]: Taking taylor expansion of y in y
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.206 * [taylor]: Taking taylor expansion of y in x
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.206 * [taylor]: Taking taylor expansion of x in x
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.206 * [taylor]: Taking taylor expansion of y in x
0.207 * [taylor]: Taking taylor expansion of 1 in y
0.208 * [taylor]: Taking taylor expansion of 0 in y
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.209 * [taylor]: Taking taylor expansion of y in y
0.210 * [taylor]: Taking taylor expansion of 0 in y
0.213 * [taylor]: Taking taylor expansion of 0 in y
0.214 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.214 * [taylor]: Taking taylor expansion of x in y
0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.214 * [taylor]: Taking taylor expansion of y in y
0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.215 * [taylor]: Taking taylor expansion of x in x
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.215 * [taylor]: Taking taylor expansion of y in x
0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.215 * [taylor]: Taking taylor expansion of x in x
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.216 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.216 * [taylor]: Taking taylor expansion of y in x
0.216 * [taylor]: Taking taylor expansion of 1 in y
0.217 * [taylor]: Taking taylor expansion of 0 in y
0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.218 * [taylor]: Taking taylor expansion of y in y
0.220 * [taylor]: Taking taylor expansion of 0 in y
0.222 * [taylor]: Taking taylor expansion of 0 in y
0.223 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.224 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0
0.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.224 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.224 * [taylor]: Taking taylor expansion of x in z
0.224 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.224 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.224 * [taylor]: Taking taylor expansion of y in z
0.224 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.224 * [taylor]: Taking taylor expansion of z in z
0.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.224 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.224 * [taylor]: Taking taylor expansion of x in y
0.224 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.224 * [taylor]: Taking taylor expansion of y in y
0.224 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.224 * [taylor]: Taking taylor expansion of z in y
0.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.224 * [taylor]: Taking taylor expansion of x in x
0.224 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.224 * [taylor]: Taking taylor expansion of y in x
0.224 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.224 * [taylor]: Taking taylor expansion of z in x
0.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.224 * [taylor]: Taking taylor expansion of x in x
0.224 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.224 * [taylor]: Taking taylor expansion of y in x
0.224 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.224 * [taylor]: Taking taylor expansion of z in x
0.225 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.225 * [taylor]: Taking taylor expansion of y in y
0.225 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.225 * [taylor]: Taking taylor expansion of z in y
0.225 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.225 * [taylor]: Taking taylor expansion of z in z
0.225 * [taylor]: Taking taylor expansion of 0 in y
0.225 * [taylor]: Taking taylor expansion of 0 in z
0.225 * [taylor]: Taking taylor expansion of 0 in z
0.227 * [taylor]: Taking taylor expansion of 1 in y
0.227 * [taylor]: Taking taylor expansion of 1 in z
0.227 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [taylor]: Taking taylor expansion of 1 in z
0.228 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.229 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.229 * [taylor]: Taking taylor expansion of x in z
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.229 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.229 * [taylor]: Taking taylor expansion of z in z
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.229 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.229 * [taylor]: Taking taylor expansion of y in z
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.229 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.229 * [taylor]: Taking taylor expansion of x in y
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.229 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.229 * [taylor]: Taking taylor expansion of z in y
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.230 * [taylor]: Taking taylor expansion of y in y
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.230 * [taylor]: Taking taylor expansion of x in x
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.231 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.231 * [taylor]: Taking taylor expansion of z in x
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.231 * [taylor]: Taking taylor expansion of y in x
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.231 * [taylor]: Taking taylor expansion of x in x
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.231 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.231 * [taylor]: Taking taylor expansion of z in x
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.231 * [taylor]: Taking taylor expansion of y in x
0.232 * [taylor]: Taking taylor expansion of 1 in y
0.233 * [taylor]: Taking taylor expansion of 0 in y
0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.234 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.234 * [taylor]: Taking taylor expansion of z in y
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.234 * [taylor]: Taking taylor expansion of y in y
0.235 * [taylor]: Taking taylor expansion of 1 in z
0.235 * [taylor]: Taking taylor expansion of 1 in z
0.237 * [taylor]: Taking taylor expansion of 0 in y
0.237 * [taylor]: Taking taylor expansion of 0 in z
0.238 * [taylor]: Taking taylor expansion of 0 in z
0.238 * [taylor]: Taking taylor expansion of 0 in z
0.240 * [taylor]: Taking taylor expansion of 0 in y
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.241 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.241 * [taylor]: Taking taylor expansion of z in z
0.241 * [taylor]: Taking taylor expansion of 0 in z
0.241 * [taylor]: Taking taylor expansion of 0 in z
0.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.242 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.242 * [taylor]: Taking taylor expansion of x in z
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.243 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.243 * [taylor]: Taking taylor expansion of z in z
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.243 * [taylor]: Taking taylor expansion of y in z
0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.243 * [taylor]: Taking taylor expansion of x in y
0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.243 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.243 * [taylor]: Taking taylor expansion of z in y
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.243 * [taylor]: Taking taylor expansion of y in y
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.244 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.244 * [taylor]: Taking taylor expansion of z in x
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.245 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.245 * [taylor]: Taking taylor expansion of z in x
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.246 * [taylor]: Taking taylor expansion of 1 in y
0.247 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.248 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.248 * [taylor]: Taking taylor expansion of z in y
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.248 * [taylor]: Taking taylor expansion of y in y
0.249 * [taylor]: Taking taylor expansion of 1 in z
0.249 * [taylor]: Taking taylor expansion of 1 in z
0.250 * [taylor]: Taking taylor expansion of 0 in y
0.251 * [taylor]: Taking taylor expansion of 0 in z
0.251 * [taylor]: Taking taylor expansion of 0 in z
0.251 * [taylor]: Taking taylor expansion of 0 in z
0.254 * [taylor]: Taking taylor expansion of 0 in y
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.255 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.255 * [taylor]: Taking taylor expansion of z in z
0.255 * [taylor]: Taking taylor expansion of 0 in z
0.255 * [taylor]: Taking taylor expansion of 0 in z
0.256 * * * [progress]: simplifying candidates
0.257 * [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))
  (* (* (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 x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (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)))
0.257 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))))
 (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))))
 (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (sqrt 1)
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3)))
 (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2)))))
 (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2))))
 (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (/ 1 2)
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (* (exp (* h0 h0)) (exp (* h1 h1)))
 (log (+ (* h0 h0) (* h1 h1)))
 (exp (+ (* h0 h0) (* h1 h1)))
 (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))
 (cbrt (+ (* h0 h0) (* h1 h1)))
 (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))
 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))
 (- (* h0 h0) (* h1 h1))
 (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h2 h2)))
 (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h2 h2)))
 (log (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (exp (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (* (* (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))
 (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3))
 (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2))))
 (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2)))
 (- (+ (* h0 h0) (* h1 h1)) (* h2 h2))
 (+ (* h1 h1) (* h2 h2))
 h2
 h0
 (* -1 h0)
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (+ (pow h1 2) (pow h2 2)))
 (+ (pow h0 2) (+ (pow h1 2) (pow h2 2)))
 (+ (pow h0 2) (+ (pow h1 2) (pow h2 2)))
0.261 * * [simplify]: iteration  0 :  209  enodes  (cost  340 )
0.266 * * [simplify]: iteration  1 :  959  enodes  (cost  320 )
0.280 * * [simplify]: iteration  2 :  3316  enodes  (cost  316 )
0.342 * * [simplify]: iteration  3 :  5001  enodes  (cost  315 )
0.343 * [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))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* 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)))
  (pow (+ (+ (* x x) (* y y)) (* z z)) 3)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (pow x 2) (pow y 2)) (- (+ (* x x) (* y y)) (* z z))) (pow z 4))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (pow y 2) (pow z 2))
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (+ (* x x) (* y y)) (* z z))
  (+ (+ (* x x) (* y y)) (* z z))
  (+ (+ (* x x) (* y y)) (* z z))
0.344 * * * [progress]: adding candidates to table
0.467 * * [progress]: iteration 2 / 4
0.467 * * * [progress]: picking best candidate
0.470 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
0.470 * * * [progress]: localizing error
0.471 * * * [progress]: generating rewritten candidates
0.471 * * * [progress]: generating series expansions
0.471 * * * [progress]: simplifying candidates
0.471 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.471 * [simplify]: Sending expressions to egg_math:
 
0.474 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.474 * [simplify]: Simplified to:
   
0.474 * * * [progress]: adding candidates to table
0.474 * * [progress]: iteration 3 / 4
0.474 * * * [progress]: picking best candidate
0.477 * * * * [pick]: Picked  #<alt (λ (x y z) (* -1 x))>
0.477 * * * [progress]: localizing error
0.479 * * * [progress]: generating rewritten candidates
0.479 * * * [progress]: generating series expansions
0.479 * * * [progress]: simplifying candidates
0.479 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.479 * [simplify]: Sending expressions to egg_math:
 
0.482 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.482 * [simplify]: Simplified to:
   
0.482 * * * [progress]: adding candidates to table
0.482 * * [progress]: iteration 4 / 4
0.482 * * * [progress]: picking best candidate
0.483 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
0.483 * * * [progress]: localizing error
0.484 * * * [progress]: generating rewritten candidates
0.484 * * * [progress]: generating series expansions
0.484 * * * [progress]: simplifying candidates
0.484 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.484 * [simplify]: Sending expressions to egg_math:
 
0.487 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.487 * [simplify]: Simplified to:
   
0.487 * * * [progress]: adding candidates to table
0.487 * [progress]: [Phase 3 of 3] Extracting.
0.487 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.488 * * * [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)
0.488 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.506 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.524 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.541 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.561 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
0.575 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.596 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
0.610 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.630 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.654 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.673 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.690 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.717 * * * [regime]: Found split indices: #<option (#s(si 1 45) #s(si 2 229) #s(si 3 255))>
0.717 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.755 * [regimes]: Found splitpoints: (#s(sp 1 x -1.052922090158919e+85) #s(sp 2 x 2.8317233913665317e+132) #s(sp 3 x +nan.0)) , with alts (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* -1 x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
0.755 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.052922090158919e+85) (* -1 x) (if (<= x 2.8317233913665317e+132) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
0.755 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h1) (* -1 h0) (if (<= h0 h2) (sqrt (+ (+ (* h0 h0) (* h3 h3)) (* h4 h4))) h0))
0.756 * * [simplify]: iteration  0 :  21  enodes  (cost  7 )
0.756 * * [simplify]: iteration  1 :  21  enodes  (cost  7 )
0.756 * [simplify]: Simplified to:
   (if (<= x -1.052922090158919e+85) (* -1 x) (if (<= x 2.8317233913665317e+132) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
1.370 * [regime-testing]: Baseline error score: 38.00500503820515
1.371 * [regime-testing]: Oracle error score: 18.68653779338379
1.372 * [regime-testing]: End program error score: 25.520698277895328
1.415 * [regime-testing]: Target error score: 25.76119479864828