23.847 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.015 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.018 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.021 * * [simplify]: iteration  0 :  14  enodes  (cost  6 )
0.023 * * [simplify]: iteration  1 :  25  enodes  (cost  6 )
0.025 * * [simplify]: iteration  2 :  31  enodes  (cost  6 )
0.027 * * [simplify]: iteration  3 :  32  enodes  (cost  6 )
0.029 * * [simplify]: iteration  4 :  32  enodes  (cost  6 )
0.029 * [simplify]: Simplified to:
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.029 * * [progress]: iteration 1 / 4
0.029 * * * [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
0.045 * * * [progress]: generating rewritten candidates
0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.058 * * * [progress]: generating series expansions
0.058 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.058 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.058 * [taylor]: Taking taylor expansion of x in z
0.058 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.058 * [taylor]: Taking taylor expansion of y in z
0.058 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.058 * [taylor]: Taking taylor expansion of z in z
0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.060 * [taylor]: Taking taylor expansion of x in y
0.060 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.060 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.060 * [taylor]: Taking taylor expansion of z in y
0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.061 * [taylor]: Taking taylor expansion of x in x
0.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.062 * [taylor]: Taking taylor expansion of y in x
0.062 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.062 * [taylor]: Taking taylor expansion of z in x
0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.063 * [taylor]: Taking taylor expansion of x in x
0.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.063 * [taylor]: Taking taylor expansion of y in x
0.063 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.063 * [taylor]: Taking taylor expansion of z in x
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) 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 z in z
0.066 * [taylor]: Taking taylor expansion of 0 in y
0.066 * [taylor]: Taking taylor expansion of 0 in z
0.066 * [taylor]: Taking taylor expansion of 0 in z
0.068 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.068 * [taylor]: Taking taylor expansion of 1/2 in y
0.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.068 * [taylor]: Taking taylor expansion of (/ 1 (+ (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
0.070 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.070 * [taylor]: Taking taylor expansion of 1/2 in z
0.070 * [taylor]: Taking taylor expansion of z in z
0.071 * [taylor]: Taking taylor expansion of 0 in z
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 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.074 * [taylor]: Taking taylor expansion of x in z
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.074 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.074 * [taylor]: Taking taylor expansion of z in z
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.074 * [taylor]: Taking taylor expansion of y in z
0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.077 * [taylor]: Taking taylor expansion of x in y
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.077 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.078 * [taylor]: Taking taylor expansion of z in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.081 * [taylor]: Taking taylor expansion of z in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.084 * [taylor]: Taking taylor expansion of x in x
0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.085 * [taylor]: Taking taylor expansion of z in x
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.085 * [taylor]: Taking taylor expansion of y in x
0.087 * [taylor]: Taking taylor expansion of 1 in y
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [taylor]: Taking taylor expansion of 1 in z
0.090 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.090 * [taylor]: Taking taylor expansion of 1/2 in y
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.090 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.090 * [taylor]: Taking taylor expansion of z in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.090 * [taylor]: Taking taylor expansion of y in y
0.093 * [taylor]: Taking taylor expansion of 0 in z
0.093 * [taylor]: Taking taylor expansion of 0 in z
0.093 * [taylor]: Taking taylor expansion of 0 in z
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.097 * [taylor]: Taking taylor expansion of 1/2 in z
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.097 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.097 * [taylor]: Taking taylor expansion of z in z
0.099 * [taylor]: Taking taylor expansion of 0 in z
0.099 * [taylor]: Taking taylor expansion of 0 in z
0.103 * [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
0.103 * [taylor]: Taking taylor expansion of -1/2 in y
0.103 * [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
0.103 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.103 * [taylor]: Taking taylor expansion of 1/4 in y
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.103 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.103 * [taylor]: Taking taylor expansion of z in y
0.104 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.104 * [taylor]: Taking taylor expansion of 1/2 in y
0.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.104 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.104 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.104 * [taylor]: Taking taylor expansion of z in y
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.105 * [taylor]: Taking taylor expansion of 1/4 in y
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.105 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.105 * [taylor]: Taking taylor expansion of y 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 0 in z
0.118 * [taylor]: Taking taylor expansion of 0 in z
0.118 * [taylor]: Taking taylor expansion of 0 in z
0.120 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.120 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.120 * [taylor]: Taking taylor expansion of x in z
0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.121 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.121 * [taylor]: Taking taylor expansion of z in z
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.121 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.121 * [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
0.124 * [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
0.125 * [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
0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [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
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.129 * [taylor]: Taking taylor expansion of y in x
0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.131 * [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
0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.148 * [taylor]: Taking taylor expansion of 1/2 in z
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.148 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.148 * [taylor]: Taking taylor expansion of z in z
0.149 * [taylor]: Taking taylor expansion of 0 in z
0.150 * [taylor]: Taking taylor expansion of 0 in z
0.154 * [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
0.154 * [taylor]: Taking taylor expansion of -1/2 in y
0.154 * [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
0.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.154 * [taylor]: Taking taylor expansion of 1/4 in y
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.154 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.154 * [taylor]: Taking taylor expansion of z in y
0.154 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.154 * [taylor]: Taking taylor expansion of 1/2 in y
0.154 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.154 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.154 * [taylor]: Taking taylor expansion of z in y
0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.154 * [taylor]: Taking taylor expansion of y in y
0.155 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.155 * [taylor]: Taking taylor expansion of 1/4 in y
0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.155 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.155 * [taylor]: Taking taylor expansion of y 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 0 in z
0.169 * [taylor]: Taking taylor expansion of 0 in z
0.169 * [taylor]: Taking taylor expansion of 0 in z
0.170 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.171 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0
0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.171 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.171 * [taylor]: Taking taylor expansion of x in z
0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.171 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.171 * [taylor]: Taking taylor expansion of y in z
0.171 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.171 * [taylor]: Taking taylor expansion of z in z
0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.171 * [taylor]: Taking taylor expansion of x in y
0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in y
0.171 * [taylor]: Taking taylor expansion of z in y
0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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
0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.171 * [taylor]: Taking taylor expansion of y in x
0.171 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.171 * [taylor]: Taking taylor expansion of z in x
0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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
0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.171 * [taylor]: Taking taylor expansion of y in x
0.171 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.171 * [taylor]: Taking taylor expansion of z in x
0.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in y
0.172 * [taylor]: Taking taylor expansion of z in y
0.172 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.172 * [taylor]: Taking taylor expansion of z in z
0.173 * [taylor]: Taking taylor expansion of 0 in y
0.173 * [taylor]: Taking taylor expansion of 0 in z
0.173 * [taylor]: Taking taylor expansion of 0 in z
0.174 * [taylor]: Taking taylor expansion of 1 in y
0.174 * [taylor]: Taking taylor expansion of 1 in z
0.174 * [taylor]: Taking taylor expansion of 0 in z
0.175 * [taylor]: Taking taylor expansion of 1 in z
0.177 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.177 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.177 * [taylor]: Taking taylor expansion of x in z
0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.177 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.177 * [taylor]: Taking taylor expansion of z in z
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.178 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.178 * [taylor]: Taking taylor expansion of y in z
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.178 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.178 * [taylor]: Taking taylor expansion of x in y
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.178 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.178 * [taylor]: Taking taylor expansion of z in y
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.178 * [taylor]: Taking taylor expansion of y in y
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.179 * [taylor]: Taking taylor expansion of x in x
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.180 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.180 * [taylor]: Taking taylor expansion of z in x
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.180 * [taylor]: Taking taylor expansion of y in x
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.180 * [taylor]: Taking taylor expansion of x in x
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.181 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.181 * [taylor]: Taking taylor expansion of z in x
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.181 * [taylor]: Taking taylor expansion of y in x
0.181 * [taylor]: Taking taylor expansion of 1 in y
0.182 * [taylor]: Taking taylor expansion of 0 in y
0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.184 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.184 * [taylor]: Taking taylor expansion of z in y
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.184 * [taylor]: Taking taylor expansion of y in y
0.185 * [taylor]: Taking taylor expansion of 1 in z
0.185 * [taylor]: Taking taylor expansion of 1 in z
0.187 * [taylor]: Taking taylor expansion of 0 in y
0.188 * [taylor]: Taking taylor expansion of 0 in z
0.189 * [taylor]: Taking taylor expansion of 0 in z
0.189 * [taylor]: Taking taylor expansion of 0 in z
0.192 * [taylor]: Taking taylor expansion of 0 in y
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.193 * [taylor]: Taking taylor expansion of z in z
0.194 * [taylor]: Taking taylor expansion of 0 in z
0.194 * [taylor]: Taking taylor expansion of 0 in z
0.195 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.195 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.195 * [taylor]: Taking taylor expansion of x in z
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.195 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.195 * [taylor]: Taking taylor expansion of z in z
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.196 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.196 * [taylor]: Taking taylor expansion of y in z
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.196 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.196 * [taylor]: Taking taylor expansion of x 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 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.197 * [taylor]: Taking taylor expansion of x in x
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.198 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.198 * [taylor]: Taking taylor expansion of z in x
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.198 * [taylor]: Taking taylor expansion of y in x
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.198 * [taylor]: Taking taylor expansion of x in x
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.199 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.199 * [taylor]: Taking taylor expansion of z in x
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.199 * [taylor]: Taking taylor expansion of y in x
0.199 * [taylor]: Taking taylor expansion of 1 in y
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.202 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.202 * [taylor]: Taking taylor expansion of z in y
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.202 * [taylor]: Taking taylor expansion of y in y
0.203 * [taylor]: Taking taylor expansion of 1 in z
0.203 * [taylor]: Taking taylor expansion of 1 in z
0.206 * [taylor]: Taking taylor expansion of 0 in y
0.207 * [taylor]: Taking taylor expansion of 0 in z
0.207 * [taylor]: Taking taylor expansion of 0 in z
0.207 * [taylor]: Taking taylor expansion of 0 in z
0.210 * [taylor]: Taking taylor expansion of 0 in y
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.211 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.211 * [taylor]: Taking taylor expansion of z in z
0.212 * [taylor]: Taking taylor expansion of 0 in z
0.212 * [taylor]: Taking taylor expansion of 0 in z
0.213 * * * [progress]: simplifying candidates
0.213 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (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))))
  (expm1 (+ (+ (* x x) (* y y)) (* z z)))
  (log1p (+ (+ (* 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)))
0.218 * * [simplify]: iteration  0 :  152  enodes  (cost  287 )
0.223 * * [simplify]: iteration  1 :  659  enodes  (cost  259 )
0.237 * * [simplify]: iteration  2 :  2778  enodes  (cost  251 )
0.295 * * [simplify]: iteration  3 :  5002  enodes  (cost  248 )
0.297 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (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)))
  (hypot (pow z 3) (pow (fma x x (* y y)) 3/2))
  (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))))
  (expm1 (+ (+ (* x x) (* y y)) (* z z)))
  (log1p (+ (+ (* x x) (* y y)) (* z z)))
  (exp (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (fma x x (fma 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 (fma x x (fma y y (* z z))) 3)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (fma z (pow z 5) (pow (fma x x (* y y)) 3))
  (fma (fma x x (* y y)) (fma x x (- (pow y 2) (pow z 2))) (pow z 4))
  (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z))))
  (fma x x (- (pow y 2) (pow z 2)))
  (fma y y (* z z))
  z
  x
  (* -1 x)
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
0.297 * * * [progress]: adding candidates to table
0.411 * * [progress]: iteration 2 / 4
0.411 * * * [progress]: picking best candidate
0.416 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
0.416 * * * [progress]: localizing error
0.424 * * * [progress]: generating rewritten candidates
0.424 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.428 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.430 * * * [progress]: generating series expansions
0.430 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.430 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.430 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.430 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.430 * [taylor]: Taking taylor expansion of x in y
0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.430 * [taylor]: Taking taylor expansion of y in y
0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.431 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.431 * [taylor]: Taking taylor expansion of x in x
0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.431 * [taylor]: Taking taylor expansion of y in x
0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.432 * [taylor]: Taking taylor expansion of x in x
0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.432 * [taylor]: Taking taylor expansion of y in x
0.432 * [taylor]: Taking taylor expansion of y in y
0.432 * [taylor]: Taking taylor expansion of 0 in y
0.434 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.434 * [taylor]: Taking taylor expansion of 1/2 in y
0.434 * [taylor]: Taking taylor expansion of y in y
0.436 * [taylor]: Taking taylor expansion of 0 in y
0.437 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.437 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.437 * [taylor]: Taking taylor expansion of x in y
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.437 * [taylor]: Taking taylor expansion of y in y
0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.440 * [taylor]: Taking taylor expansion of x in x
0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.441 * [taylor]: Taking taylor expansion of y in x
0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.443 * [taylor]: Taking taylor expansion of x in x
0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.443 * [taylor]: Taking taylor expansion of y in x
0.446 * [taylor]: Taking taylor expansion of 1 in y
0.446 * [taylor]: Taking taylor expansion of 0 in y
0.448 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.448 * [taylor]: Taking taylor expansion of 1/2 in y
0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.448 * [taylor]: Taking taylor expansion of y in y
0.452 * [taylor]: Taking taylor expansion of 0 in y
0.453 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.453 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.453 * [taylor]: Taking taylor expansion of x in y
0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.453 * [taylor]: Taking taylor expansion of y in y
0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.456 * [taylor]: Taking taylor expansion of x in x
0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.457 * [taylor]: Taking taylor expansion of y in x
0.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.459 * [taylor]: Taking taylor expansion of x in x
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.460 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.460 * [taylor]: Taking taylor expansion of y in x
0.462 * [taylor]: Taking taylor expansion of 1 in y
0.462 * [taylor]: Taking taylor expansion of 0 in y
0.464 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.464 * [taylor]: Taking taylor expansion of 1/2 in y
0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.464 * [taylor]: Taking taylor expansion of y in y
0.468 * [taylor]: Taking taylor expansion of 0 in y
0.470 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.470 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0
0.470 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z
0.470 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
0.470 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z
0.470 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z
0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z
0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z
0.470 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.470 * [taylor]: Taking taylor expansion of x in z
0.470 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.470 * [taylor]: Taking taylor expansion of y in z
0.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z
0.471 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z
0.471 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.471 * [taylor]: Taking taylor expansion of x in z
0.471 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.471 * [taylor]: Taking taylor expansion of y in z
0.472 * [taylor]: Taking taylor expansion of (* z z) in z
0.472 * [taylor]: Taking taylor expansion of z in z
0.472 * [taylor]: Taking taylor expansion of z in z
0.474 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y
0.475 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
0.475 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y
0.475 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y
0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.475 * [taylor]: Taking taylor expansion of x in y
0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.475 * [taylor]: Taking taylor expansion of y in y
0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.475 * [taylor]: Taking taylor expansion of x in y
0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.476 * [taylor]: Taking taylor expansion of y in y
0.476 * [taylor]: Taking taylor expansion of (* z z) in y
0.476 * [taylor]: Taking taylor expansion of z in y
0.476 * [taylor]: Taking taylor expansion of z in y
0.477 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x
0.477 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
0.477 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x
0.477 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x
0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.477 * [taylor]: Taking taylor expansion of x in x
0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.477 * [taylor]: Taking taylor expansion of y in x
0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.478 * [taylor]: Taking taylor expansion of x in x
0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.478 * [taylor]: Taking taylor expansion of y in x
0.479 * [taylor]: Taking taylor expansion of (* z z) in x
0.479 * [taylor]: Taking taylor expansion of z in x
0.479 * [taylor]: Taking taylor expansion of z in x
0.480 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x
0.480 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
0.480 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x
0.480 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x
0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.480 * [taylor]: Taking taylor expansion of x in x
0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.480 * [taylor]: Taking taylor expansion of y in x
0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.481 * [taylor]: Taking taylor expansion of x in x
0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.481 * [taylor]: Taking taylor expansion of y in x
0.481 * [taylor]: Taking taylor expansion of (* z z) in x
0.481 * [taylor]: Taking taylor expansion of z in x
0.481 * [taylor]: Taking taylor expansion of z in x
0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.482 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.482 * [taylor]: Taking taylor expansion of y in y
0.482 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.482 * [taylor]: Taking taylor expansion of z in y
0.483 * [taylor]: Taking taylor expansion of z in z
0.483 * [taylor]: Taking taylor expansion of 0 in y
0.483 * [taylor]: Taking taylor expansion of 0 in z
0.483 * [taylor]: Taking taylor expansion of 0 in z
0.487 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.487 * [taylor]: Taking taylor expansion of 1/2 in y
0.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.487 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.487 * [taylor]: Taking taylor expansion of y in y
0.488 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.488 * [taylor]: Taking taylor expansion of z in y
0.488 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.489 * [taylor]: Taking taylor expansion of 1/2 in z
0.489 * [taylor]: Taking taylor expansion of z in z
0.489 * [taylor]: Taking taylor expansion of 0 in z
0.494 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.494 * [taylor]: Taking taylor expansion of 1/2 in z
0.494 * [taylor]: Taking taylor expansion of z in z
0.496 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0
0.496 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z
0.496 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
0.496 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z
0.496 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z
0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.496 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.496 * [taylor]: Taking taylor expansion of x in z
0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.496 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.496 * [taylor]: Taking taylor expansion of y in z
0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.498 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.498 * [taylor]: Taking taylor expansion of x in z
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.498 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.498 * [taylor]: Taking taylor expansion of y in z
0.499 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.499 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.499 * [taylor]: Taking taylor expansion of z in z
0.500 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.500 * [taylor]: Taking taylor expansion of z in z
0.502 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y
0.503 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
0.503 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y
0.503 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.503 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.503 * [taylor]: Taking taylor expansion of x in y
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.503 * [taylor]: Taking taylor expansion of y in y
0.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.506 * [taylor]: Taking taylor expansion of x in y
0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.506 * [taylor]: Taking taylor expansion of y in y
0.509 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.509 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.509 * [taylor]: Taking taylor expansion of z in y
0.509 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.509 * [taylor]: Taking taylor expansion of z in y
0.511 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x
0.511 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
0.511 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x
0.511 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.511 * [taylor]: Taking taylor expansion of x in x
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.512 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.512 * [taylor]: Taking taylor expansion of y in x
0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.514 * [taylor]: Taking taylor expansion of x in x
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.515 * [taylor]: Taking taylor expansion of y in x
0.517 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.517 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.517 * [taylor]: Taking taylor expansion of z in x
0.517 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.517 * [taylor]: Taking taylor expansion of z in x
0.519 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x
0.519 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
0.519 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x
0.519 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.519 * [taylor]: Taking taylor expansion of x in x
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.520 * [taylor]: Taking taylor expansion of y in x
0.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.522 * [taylor]: Taking taylor expansion of x in x
0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.523 * [taylor]: Taking taylor expansion of y in x
0.525 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.525 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.525 * [taylor]: Taking taylor expansion of z in x
0.525 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.525 * [taylor]: Taking taylor expansion of z in x
0.527 * [taylor]: Taking taylor expansion of 1 in y
0.527 * [taylor]: Taking taylor expansion of 0 in y
0.527 * [taylor]: Taking taylor expansion of 1 in z
0.533 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.533 * [taylor]: Taking taylor expansion of 1/2 in y
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.533 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.533 * [taylor]: Taking taylor expansion of z in y
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.534 * [taylor]: Taking taylor expansion of y in y
0.536 * [taylor]: Taking taylor expansion of 0 in z
0.536 * [taylor]: Taking taylor expansion of 0 in z
0.536 * [taylor]: Taking taylor expansion of 0 in z
0.542 * [taylor]: Taking taylor expansion of 0 in y
0.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.544 * [taylor]: Taking taylor expansion of 1/2 in z
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.544 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.544 * [taylor]: Taking taylor expansion of z in z
0.546 * [taylor]: Taking taylor expansion of 0 in z
0.546 * [taylor]: Taking taylor expansion of 0 in z
0.555 * [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
0.555 * [taylor]: Taking taylor expansion of -1/2 in y
0.555 * [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
0.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.555 * [taylor]: Taking taylor expansion of 1/4 in y
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.555 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.555 * [taylor]: Taking taylor expansion of z in y
0.555 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.555 * [taylor]: Taking taylor expansion of 1/2 in y
0.555 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.555 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.555 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.555 * [taylor]: Taking taylor expansion of z in y
0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.555 * [taylor]: Taking taylor expansion of y in y
0.556 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.556 * [taylor]: Taking taylor expansion of 1/4 in y
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.556 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.556 * [taylor]: Taking taylor expansion of y in y
0.567 * [taylor]: Taking taylor expansion of 0 in z
0.567 * [taylor]: Taking taylor expansion of 0 in z
0.570 * [taylor]: Taking taylor expansion of 0 in z
0.570 * [taylor]: Taking taylor expansion of 0 in z
0.570 * [taylor]: Taking taylor expansion of 0 in z
0.572 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0
0.572 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z
0.572 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
0.572 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z
0.572 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z
0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.572 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.572 * [taylor]: Taking taylor expansion of x in z
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.572 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.572 * [taylor]: Taking taylor expansion of y in z
0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.574 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.574 * [taylor]: Taking taylor expansion of x in z
0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.574 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.574 * [taylor]: Taking taylor expansion of y in z
0.575 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.575 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.575 * [taylor]: Taking taylor expansion of -1 in z
0.575 * [taylor]: Taking taylor expansion of z in z
0.576 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.576 * [taylor]: Taking taylor expansion of -1 in z
0.576 * [taylor]: Taking taylor expansion of z in z
0.579 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y
0.579 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
0.579 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y
0.579 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.579 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.579 * [taylor]: Taking taylor expansion of x in y
0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.579 * [taylor]: Taking taylor expansion of y in y
0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.582 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.582 * [taylor]: Taking taylor expansion of x in y
0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.582 * [taylor]: Taking taylor expansion of y in y
0.585 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.585 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.585 * [taylor]: Taking taylor expansion of -1 in y
0.585 * [taylor]: Taking taylor expansion of z in y
0.585 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.585 * [taylor]: Taking taylor expansion of -1 in y
0.585 * [taylor]: Taking taylor expansion of z in y
0.587 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x
0.587 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
0.587 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x
0.587 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.587 * [taylor]: Taking taylor expansion of x in x
0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.588 * [taylor]: Taking taylor expansion of y in x
0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.593 * [taylor]: Taking taylor expansion of x in x
0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.594 * [taylor]: Taking taylor expansion of y in x
0.596 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.596 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.596 * [taylor]: Taking taylor expansion of -1 in x
0.596 * [taylor]: Taking taylor expansion of z in x
0.596 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.596 * [taylor]: Taking taylor expansion of -1 in x
0.596 * [taylor]: Taking taylor expansion of z in x
0.598 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x
0.598 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
0.598 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x
0.598 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.598 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.598 * [taylor]: Taking taylor expansion of x in x
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.599 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.599 * [taylor]: Taking taylor expansion of y in x
0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.601 * [taylor]: Taking taylor expansion of x in x
0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.602 * [taylor]: Taking taylor expansion of y in x
0.604 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.604 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.604 * [taylor]: Taking taylor expansion of -1 in x
0.604 * [taylor]: Taking taylor expansion of z in x
0.604 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.604 * [taylor]: Taking taylor expansion of -1 in x
0.604 * [taylor]: Taking taylor expansion of z in x
0.606 * [taylor]: Taking taylor expansion of 1 in y
0.606 * [taylor]: Taking taylor expansion of 0 in y
0.606 * [taylor]: Taking taylor expansion of 1 in z
0.612 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.612 * [taylor]: Taking taylor expansion of 1/2 in y
0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.613 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.613 * [taylor]: Taking taylor expansion of z in y
0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.613 * [taylor]: Taking taylor expansion of y in y
0.615 * [taylor]: Taking taylor expansion of 0 in z
0.615 * [taylor]: Taking taylor expansion of 0 in z
0.615 * [taylor]: Taking taylor expansion of 0 in z
0.621 * [taylor]: Taking taylor expansion of 0 in y
0.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.623 * [taylor]: Taking taylor expansion of 1/2 in z
0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.623 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.623 * [taylor]: Taking taylor expansion of z in z
0.625 * [taylor]: Taking taylor expansion of 0 in z
0.625 * [taylor]: Taking taylor expansion of 0 in z
0.634 * [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
0.634 * [taylor]: Taking taylor expansion of -1/2 in y
0.634 * [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
0.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.634 * [taylor]: Taking taylor expansion of 1/4 in y
0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.634 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.634 * [taylor]: Taking taylor expansion of z in y
0.634 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.634 * [taylor]: Taking taylor expansion of 1/2 in y
0.634 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.634 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.634 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.634 * [taylor]: Taking taylor expansion of z in y
0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.635 * [taylor]: Taking taylor expansion of y in y
0.635 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.635 * [taylor]: Taking taylor expansion of 1/4 in y
0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.635 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.635 * [taylor]: Taking taylor expansion of y in y
0.646 * [taylor]: Taking taylor expansion of 0 in z
0.646 * [taylor]: Taking taylor expansion of 0 in z
0.649 * [taylor]: Taking taylor expansion of 0 in z
0.649 * [taylor]: Taking taylor expansion of 0 in z
0.649 * [taylor]: Taking taylor expansion of 0 in z
0.650 * * * [progress]: simplifying candidates
0.651 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (* x x) (* y y))))
  (log1p (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (expm1 (hypot (sqrt (+ (* x x) (* y y))) z))
  (log1p (hypot (sqrt (+ (* x x) (* y y))) z))
  (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))
  (log (hypot (sqrt (+ (* x x) (* y y))) z))
  (exp (hypot (sqrt (+ (* x x) (* y y))) z))
  (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)))
  (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z))
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  y
  x
  (* -1 x)
  z
  x
  (* -1 x)
0.655 * * [simplify]: iteration  0 :  114  enodes  (cost  180 )
0.659 * * [simplify]: iteration  1 :  282  enodes  (cost  163 )
0.665 * * [simplify]: iteration  2 :  660  enodes  (cost  163 )
0.678 * * [simplify]: iteration  3 :  1620  enodes  (cost  163 )
0.714 * * [simplify]: iteration  4 :  5001  enodes  (cost  163 )
0.716 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (* x x) (* y y))))
  (log1p (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (hypot x y) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (hypot x y)
  (hypot (pow y 3) (pow x 3))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (expm1 (hypot (sqrt (+ (* x x) (* y y))) z))
  (log1p (hypot (sqrt (+ (* x x) (* y y))) z))
  (fma z z (fma x x (* y y)))
  (log (hypot (sqrt (+ (* x x) (* y y))) z))
  (exp (hypot (sqrt (+ (* x x) (* y y))) z))
  (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)))
  (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (pow (hypot (sqrt (+ (* x x) (* y y))) z) 3)
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  y
  x
  (* -1 x)
  z
  x
  (* -1 x)
0.716 * * * [progress]: adding candidates to table
0.807 * * [progress]: iteration 3 / 4
0.807 * * * [progress]: picking best candidate
0.809 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (hypot x y) z))>
0.809 * * * [progress]: localizing error
0.814 * * * [progress]: generating rewritten candidates
0.814 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.815 * * * [progress]: generating series expansions
0.815 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.815 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0
0.815 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z
0.815 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
0.815 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z
0.815 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
0.815 * [taylor]: Taking taylor expansion of (hypot x y) in z
0.816 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.816 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
0.816 * [taylor]: Taking taylor expansion of (* x x) in z
0.816 * [taylor]: Taking taylor expansion of x in z
0.816 * [taylor]: Taking taylor expansion of x in z
0.816 * [taylor]: Taking taylor expansion of (* y y) in z
0.816 * [taylor]: Taking taylor expansion of y in z
0.816 * [taylor]: Taking taylor expansion of y in z
0.817 * [taylor]: Taking taylor expansion of (hypot x y) in z
0.817 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.817 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
0.817 * [taylor]: Taking taylor expansion of (* x x) in z
0.817 * [taylor]: Taking taylor expansion of x in z
0.817 * [taylor]: Taking taylor expansion of x in z
0.817 * [taylor]: Taking taylor expansion of (* y y) in z
0.817 * [taylor]: Taking taylor expansion of y in z
0.817 * [taylor]: Taking taylor expansion of y in z
0.818 * [taylor]: Taking taylor expansion of (* z z) in z
0.818 * [taylor]: Taking taylor expansion of z in z
0.818 * [taylor]: Taking taylor expansion of z in z
0.820 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y
0.820 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
0.820 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y
0.820 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
0.820 * [taylor]: Taking taylor expansion of (hypot x y) in y
0.820 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.820 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
0.820 * [taylor]: Taking taylor expansion of (* x x) in y
0.820 * [taylor]: Taking taylor expansion of x in y
0.820 * [taylor]: Taking taylor expansion of x in y
0.820 * [taylor]: Taking taylor expansion of (* y y) in y
0.820 * [taylor]: Taking taylor expansion of y in y
0.820 * [taylor]: Taking taylor expansion of y in y
0.825 * [taylor]: Taking taylor expansion of (hypot x y) in y
0.825 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.825 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
0.825 * [taylor]: Taking taylor expansion of (* x x) in y
0.825 * [taylor]: Taking taylor expansion of x in y
0.825 * [taylor]: Taking taylor expansion of x in y
0.825 * [taylor]: Taking taylor expansion of (* y y) in y
0.825 * [taylor]: Taking taylor expansion of y in y
0.825 * [taylor]: Taking taylor expansion of y in y
0.827 * [taylor]: Taking taylor expansion of (* z z) in y
0.827 * [taylor]: Taking taylor expansion of z in y
0.827 * [taylor]: Taking taylor expansion of z in y
0.828 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
0.828 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
0.828 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
0.828 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
0.828 * [taylor]: Taking taylor expansion of (hypot x y) in x
0.828 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.828 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
0.828 * [taylor]: Taking taylor expansion of (* x x) in x
0.828 * [taylor]: Taking taylor expansion of x in x
0.828 * [taylor]: Taking taylor expansion of x in x
0.828 * [taylor]: Taking taylor expansion of (* y y) in x
0.828 * [taylor]: Taking taylor expansion of y in x
0.828 * [taylor]: Taking taylor expansion of y in x
0.829 * [taylor]: Taking taylor expansion of (hypot x y) in x
0.829 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.829 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
0.829 * [taylor]: Taking taylor expansion of (* x x) in x
0.829 * [taylor]: Taking taylor expansion of x in x
0.829 * [taylor]: Taking taylor expansion of x in x
0.829 * [taylor]: Taking taylor expansion of (* y y) in x
0.829 * [taylor]: Taking taylor expansion of y in x
0.829 * [taylor]: Taking taylor expansion of y in x
0.831 * [taylor]: Taking taylor expansion of (* z z) in x
0.831 * [taylor]: Taking taylor expansion of z in x
0.831 * [taylor]: Taking taylor expansion of z in x
0.831 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
0.832 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
0.832 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
0.832 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
0.832 * [taylor]: Taking taylor expansion of (hypot x y) in x
0.832 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.832 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
0.832 * [taylor]: Taking taylor expansion of (* x x) in x
0.832 * [taylor]: Taking taylor expansion of x in x
0.832 * [taylor]: Taking taylor expansion of x in x
0.832 * [taylor]: Taking taylor expansion of (* y y) in x
0.832 * [taylor]: Taking taylor expansion of y in x
0.832 * [taylor]: Taking taylor expansion of y in x
0.833 * [taylor]: Taking taylor expansion of (hypot x y) in x
0.833 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
0.833 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
0.833 * [taylor]: Taking taylor expansion of (* x x) in x
0.833 * [taylor]: Taking taylor expansion of x in x
0.833 * [taylor]: Taking taylor expansion of x in x
0.833 * [taylor]: Taking taylor expansion of (* y y) in x
0.833 * [taylor]: Taking taylor expansion of y in x
0.833 * [taylor]: Taking taylor expansion of y in x
0.834 * [taylor]: Taking taylor expansion of (* z z) in x
0.834 * [taylor]: Taking taylor expansion of z in x
0.834 * [taylor]: Taking taylor expansion of z in x
0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.835 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.835 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.835 * [taylor]: Taking taylor expansion of y in y
0.835 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.835 * [taylor]: Taking taylor expansion of z in y
0.836 * [taylor]: Taking taylor expansion of z in z
0.836 * [taylor]: Taking taylor expansion of 0 in y
0.836 * [taylor]: Taking taylor expansion of 0 in z
0.836 * [taylor]: Taking taylor expansion of 0 in z
0.840 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.840 * [taylor]: Taking taylor expansion of 1/2 in y
0.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.840 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.840 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.840 * [taylor]: Taking taylor expansion of y in y
0.840 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.840 * [taylor]: Taking taylor expansion of z in y
0.841 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.841 * [taylor]: Taking taylor expansion of 1/2 in z
0.841 * [taylor]: Taking taylor expansion of z in z
0.842 * [taylor]: Taking taylor expansion of 0 in z
0.843 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.843 * [taylor]: Taking taylor expansion of 1/2 in z
0.843 * [taylor]: Taking taylor expansion of z in z
0.844 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0
0.844 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z
0.844 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
0.844 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z
0.844 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
0.844 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
0.844 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.844 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
0.845 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.845 * [taylor]: Taking taylor expansion of x in z
0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.845 * [taylor]: Taking taylor expansion of x in z
0.845 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
0.845 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.845 * [taylor]: Taking taylor expansion of y in z
0.845 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.845 * [taylor]: Taking taylor expansion of y in z
0.846 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
0.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.846 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
0.846 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.846 * [taylor]: Taking taylor expansion of x in z
0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.846 * [taylor]: Taking taylor expansion of x in z
0.846 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.846 * [taylor]: Taking taylor expansion of y in z
0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.846 * [taylor]: Taking taylor expansion of y in z
0.847 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.847 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.848 * [taylor]: Taking taylor expansion of z in z
0.848 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.848 * [taylor]: Taking taylor expansion of z in z
0.851 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y
0.851 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
0.851 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y
0.851 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
0.851 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
0.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
0.851 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.851 * [taylor]: Taking taylor expansion of x in y
0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.851 * [taylor]: Taking taylor expansion of x in y
0.851 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
0.851 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.851 * [taylor]: Taking taylor expansion of y in y
0.851 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.851 * [taylor]: Taking taylor expansion of y in y
0.854 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
0.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.855 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
0.855 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.855 * [taylor]: Taking taylor expansion of x in y
0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.855 * [taylor]: Taking taylor expansion of x in y
0.855 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.855 * [taylor]: Taking taylor expansion of y in y
0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.855 * [taylor]: Taking taylor expansion of y in y
0.858 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.858 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.858 * [taylor]: Taking taylor expansion of z in y
0.858 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.858 * [taylor]: Taking taylor expansion of z in y
0.860 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
0.860 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
0.860 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
0.860 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
0.860 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
0.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.860 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
0.860 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.860 * [taylor]: Taking taylor expansion of x in x
0.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.860 * [taylor]: Taking taylor expansion of x in x
0.861 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.861 * [taylor]: Taking taylor expansion of y in x
0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.861 * [taylor]: Taking taylor expansion of y in x
0.863 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
0.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.864 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
0.864 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.864 * [taylor]: Taking taylor expansion of x in x
0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.864 * [taylor]: Taking taylor expansion of x in x
0.864 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.864 * [taylor]: Taking taylor expansion of y in x
0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.864 * [taylor]: Taking taylor expansion of y in x
0.867 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.867 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.867 * [taylor]: Taking taylor expansion of z in x
0.867 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.867 * [taylor]: Taking taylor expansion of z in x
0.869 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
0.869 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
0.869 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
0.869 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
0.869 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
0.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.869 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
0.869 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.869 * [taylor]: Taking taylor expansion of x in x
0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.870 * [taylor]: Taking taylor expansion of x in x
0.870 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.870 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.870 * [taylor]: Taking taylor expansion of y in x
0.870 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.870 * [taylor]: Taking taylor expansion of y in x
0.873 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
0.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
0.873 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
0.873 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.873 * [taylor]: Taking taylor expansion of x in x
0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.873 * [taylor]: Taking taylor expansion of x in x
0.873 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.874 * [taylor]: Taking taylor expansion of y in x
0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.874 * [taylor]: Taking taylor expansion of y in x
0.876 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.876 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.876 * [taylor]: Taking taylor expansion of z in x
0.877 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.877 * [taylor]: Taking taylor expansion of z in x
0.878 * [taylor]: Taking taylor expansion of 1 in y
0.878 * [taylor]: Taking taylor expansion of 0 in y
0.878 * [taylor]: Taking taylor expansion of 1 in z
0.885 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.886 * [taylor]: Taking taylor expansion of 1/2 in y
0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.886 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.886 * [taylor]: Taking taylor expansion of z in y
0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.886 * [taylor]: Taking taylor expansion of y in y
0.888 * [taylor]: Taking taylor expansion of 0 in z
0.888 * [taylor]: Taking taylor expansion of 0 in z
0.888 * [taylor]: Taking taylor expansion of 0 in z
0.895 * [taylor]: Taking taylor expansion of 0 in y
0.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.897 * [taylor]: Taking taylor expansion of 1/2 in z
0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.897 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.897 * [taylor]: Taking taylor expansion of z in z
0.899 * [taylor]: Taking taylor expansion of 0 in z
0.899 * [taylor]: Taking taylor expansion of 0 in z
0.908 * [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
0.908 * [taylor]: Taking taylor expansion of -1/2 in y
0.908 * [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
0.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.908 * [taylor]: Taking taylor expansion of 1/4 in y
0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.908 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.908 * [taylor]: Taking taylor expansion of z in y
0.909 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.909 * [taylor]: Taking taylor expansion of 1/2 in y
0.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.909 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.909 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.909 * [taylor]: Taking taylor expansion of z in y
0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.909 * [taylor]: Taking taylor expansion of y in y
0.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.909 * [taylor]: Taking taylor expansion of 1/4 in y
0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.909 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.909 * [taylor]: Taking taylor expansion of y in y
0.924 * [taylor]: Taking taylor expansion of 0 in z
0.924 * [taylor]: Taking taylor expansion of 0 in z
0.927 * [taylor]: Taking taylor expansion of 0 in z
0.927 * [taylor]: Taking taylor expansion of 0 in z
0.927 * [taylor]: Taking taylor expansion of 0 in z
0.929 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0
0.929 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z
0.929 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
0.929 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z
0.929 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
0.929 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
0.929 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.929 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
0.929 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.929 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.929 * [taylor]: Taking taylor expansion of -1 in z
0.929 * [taylor]: Taking taylor expansion of x in z
0.929 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.929 * [taylor]: Taking taylor expansion of -1 in z
0.929 * [taylor]: Taking taylor expansion of x in z
0.929 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
0.929 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.929 * [taylor]: Taking taylor expansion of -1 in z
0.929 * [taylor]: Taking taylor expansion of y in z
0.929 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.929 * [taylor]: Taking taylor expansion of -1 in z
0.929 * [taylor]: Taking taylor expansion of y in z
0.931 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
0.931 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.931 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
0.931 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.931 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.931 * [taylor]: Taking taylor expansion of -1 in z
0.931 * [taylor]: Taking taylor expansion of x in z
0.931 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.931 * [taylor]: Taking taylor expansion of -1 in z
0.931 * [taylor]: Taking taylor expansion of x in z
0.931 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
0.931 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.931 * [taylor]: Taking taylor expansion of -1 in z
0.931 * [taylor]: Taking taylor expansion of y in z
0.931 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.931 * [taylor]: Taking taylor expansion of -1 in z
0.931 * [taylor]: Taking taylor expansion of y in z
0.933 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.933 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.933 * [taylor]: Taking taylor expansion of -1 in z
0.933 * [taylor]: Taking taylor expansion of z in z
0.933 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.933 * [taylor]: Taking taylor expansion of -1 in z
0.933 * [taylor]: Taking taylor expansion of z in z
0.936 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y
0.936 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
0.936 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y
0.936 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
0.936 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
0.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.936 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
0.936 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.936 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.936 * [taylor]: Taking taylor expansion of -1 in y
0.936 * [taylor]: Taking taylor expansion of x in y
0.937 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.937 * [taylor]: Taking taylor expansion of -1 in y
0.937 * [taylor]: Taking taylor expansion of x in y
0.937 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
0.937 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.937 * [taylor]: Taking taylor expansion of -1 in y
0.937 * [taylor]: Taking taylor expansion of y in y
0.937 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.937 * [taylor]: Taking taylor expansion of -1 in y
0.937 * [taylor]: Taking taylor expansion of y in y
0.940 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
0.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.940 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
0.940 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.940 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.940 * [taylor]: Taking taylor expansion of -1 in y
0.940 * [taylor]: Taking taylor expansion of x in y
0.940 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.940 * [taylor]: Taking taylor expansion of -1 in y
0.940 * [taylor]: Taking taylor expansion of x in y
0.940 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
0.941 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.941 * [taylor]: Taking taylor expansion of -1 in y
0.941 * [taylor]: Taking taylor expansion of y in y
0.941 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.941 * [taylor]: Taking taylor expansion of -1 in y
0.941 * [taylor]: Taking taylor expansion of y in y
0.944 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.944 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.944 * [taylor]: Taking taylor expansion of -1 in y
0.944 * [taylor]: Taking taylor expansion of z in y
0.944 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.944 * [taylor]: Taking taylor expansion of -1 in y
0.944 * [taylor]: Taking taylor expansion of z in y
0.946 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
0.946 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
0.946 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
0.946 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
0.946 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
0.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.946 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
0.946 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.946 * [taylor]: Taking taylor expansion of -1 in x
0.947 * [taylor]: Taking taylor expansion of x in x
0.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.947 * [taylor]: Taking taylor expansion of -1 in x
0.947 * [taylor]: Taking taylor expansion of x in x
0.947 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.947 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.947 * [taylor]: Taking taylor expansion of -1 in x
0.947 * [taylor]: Taking taylor expansion of y in x
0.947 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.947 * [taylor]: Taking taylor expansion of -1 in x
0.947 * [taylor]: Taking taylor expansion of y in x
0.950 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
0.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.950 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
0.950 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.950 * [taylor]: Taking taylor expansion of -1 in x
0.950 * [taylor]: Taking taylor expansion of x in x
0.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.951 * [taylor]: Taking taylor expansion of -1 in x
0.951 * [taylor]: Taking taylor expansion of x in x
0.951 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.951 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.951 * [taylor]: Taking taylor expansion of -1 in x
0.951 * [taylor]: Taking taylor expansion of y in x
0.951 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.951 * [taylor]: Taking taylor expansion of -1 in x
0.951 * [taylor]: Taking taylor expansion of y in x
0.954 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.954 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.954 * [taylor]: Taking taylor expansion of -1 in x
0.954 * [taylor]: Taking taylor expansion of z in x
0.954 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.954 * [taylor]: Taking taylor expansion of -1 in x
0.954 * [taylor]: Taking taylor expansion of z in x
0.956 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
0.956 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
0.956 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
0.956 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
0.956 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
0.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.956 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
0.956 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.956 * [taylor]: Taking taylor expansion of -1 in x
0.956 * [taylor]: Taking taylor expansion of x in x
0.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.957 * [taylor]: Taking taylor expansion of -1 in x
0.957 * [taylor]: Taking taylor expansion of x in x
0.957 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.957 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.957 * [taylor]: Taking taylor expansion of -1 in x
0.957 * [taylor]: Taking taylor expansion of y in x
0.957 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.957 * [taylor]: Taking taylor expansion of -1 in x
0.957 * [taylor]: Taking taylor expansion of y in x
0.960 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
0.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
0.960 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
0.960 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.960 * [taylor]: Taking taylor expansion of -1 in x
0.960 * [taylor]: Taking taylor expansion of x in x
0.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.961 * [taylor]: Taking taylor expansion of -1 in x
0.961 * [taylor]: Taking taylor expansion of x in x
0.961 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.961 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.961 * [taylor]: Taking taylor expansion of -1 in x
0.961 * [taylor]: Taking taylor expansion of y in x
0.961 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.961 * [taylor]: Taking taylor expansion of -1 in x
0.961 * [taylor]: Taking taylor expansion of y in x
0.964 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.964 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.964 * [taylor]: Taking taylor expansion of -1 in x
0.964 * [taylor]: Taking taylor expansion of z in x
0.964 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.964 * [taylor]: Taking taylor expansion of -1 in x
0.964 * [taylor]: Taking taylor expansion of z in x
0.966 * [taylor]: Taking taylor expansion of 1 in y
0.966 * [taylor]: Taking taylor expansion of 0 in y
0.966 * [taylor]: Taking taylor expansion of 1 in z
0.973 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.973 * [taylor]: Taking taylor expansion of 1/2 in y
0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.973 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.973 * [taylor]: Taking taylor expansion of z in y
0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.974 * [taylor]: Taking taylor expansion of y in y
0.976 * [taylor]: Taking taylor expansion of 0 in z
0.976 * [taylor]: Taking taylor expansion of 0 in z
0.976 * [taylor]: Taking taylor expansion of 0 in z
0.983 * [taylor]: Taking taylor expansion of 0 in y
0.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.985 * [taylor]: Taking taylor expansion of 1/2 in z
0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.985 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.985 * [taylor]: Taking taylor expansion of z in z
0.987 * [taylor]: Taking taylor expansion of 0 in z
0.987 * [taylor]: Taking taylor expansion of 0 in z
0.998 * [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
0.998 * [taylor]: Taking taylor expansion of -1/2 in y
0.998 * [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
0.998 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.998 * [taylor]: Taking taylor expansion of 1/4 in y
0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.998 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.998 * [taylor]: Taking taylor expansion of z in y
0.998 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.998 * [taylor]: Taking taylor expansion of 1/2 in y
0.998 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.998 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.998 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.998 * [taylor]: Taking taylor expansion of z in y
0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.998 * [taylor]: Taking taylor expansion of y in y
0.999 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.999 * [taylor]: Taking taylor expansion of 1/4 in y
0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.999 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.999 * [taylor]: Taking taylor expansion of y in y
1.014 * [taylor]: Taking taylor expansion of 0 in z
1.014 * [taylor]: Taking taylor expansion of 0 in z
1.016 * [taylor]: Taking taylor expansion of 0 in z
1.016 * [taylor]: Taking taylor expansion of 0 in z
1.016 * [taylor]: Taking taylor expansion of 0 in z
1.018 * * * [progress]: simplifying candidates
1.018 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (+ (* (hypot x y) (hypot x y)) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  z
  x
  (* -1 x)
1.022 * * [simplify]: iteration  0 :  24  enodes  (cost  41 )
1.024 * * [simplify]: iteration  1 :  27  enodes  (cost  36 )
1.025 * * [simplify]: iteration  2 :  31  enodes  (cost  36 )
1.028 * * [simplify]: iteration  3 :  36  enodes  (cost  36 )
1.030 * * [simplify]: iteration  4 :  55  enodes  (cost  36 )
1.032 * * [simplify]: iteration  5 :  109  enodes  (cost  36 )
1.038 * * [simplify]: iteration  6 :  515  enodes  (cost  36 )
1.056 * * [simplify]: iteration  7 :  1689  enodes  (cost  36 )
1.126 * * [simplify]: iteration  8 :  5001  enodes  (cost  36 )
1.127 * [simplify]: Simplified to:
   (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (fma (hypot x y) (hypot x y) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (pow (hypot (hypot x y) z) 3)
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  z
  x
  (* -1 x)
1.127 * * * [progress]: adding candidates to table
1.158 * [progress]: [Phase 3 of 3] Extracting.
1.158 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
1.158 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x)
1.158 * * * * [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) (hypot (hypot x y) z))>)
1.171 * * * * [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) (hypot (hypot x y) z))>)
1.188 * * * * [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) (hypot (hypot x y) z))>)
1.201 * * * * [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) (hypot (hypot x y) z))>)
1.215 * * * * [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) (hypot (hypot x y) z))>)
1.231 * * * * [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) (hypot (hypot x y) z))>)
1.248 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
1.262 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
1.278 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
1.292 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
1.293 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (hypot (hypot x y) z)
1.293 * * [simplify]: iteration  0 :  5  enodes  (cost  2 )
1.293 * [simplify]: Simplified to:
   (hypot (hypot x y) z)
1.853 * [regime-testing]: Baseline error score: 0.005250656332041505
1.853 * [regime-testing]: Oracle error score: 0.004250531316414552
1.854 * [regime-testing]: End program error score: 0.005250656332041505
1.897 * [regime-testing]: Target error score: 24.96077267144695