20.281 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.025 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.026 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.027 * * [simplify]: iteration  1 :  13  enodes  (cost  12 )
0.029 * * [simplify]: iteration  2 :  19  enodes  (cost  12 )
0.031 * * [simplify]: iteration  done :  19  enodes  (cost  12 )
0.031 * [simplify]: Simplified to:
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.031 * * [progress]: iteration 1 / 4
0.031 * * * [progress]: picking best candidate
0.034 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.034 * * * [progress]: localizing error
0.043 * * * [progress]: generating rewritten candidates
0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.053 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.059 * * * [progress]: generating series expansions
0.059 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.059 * [approximate]: Taking taylor expansion of (sqrt (+ (pow z 2) (+ (pow x 2) (pow y 2)))) in (x y z) around 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow z 2) (+ (pow x 2) (pow y 2)))) in z
0.059 * [taylor]: Taking taylor expansion of (+ (pow z 2) (+ (pow x 2) (pow y 2))) in z
0.059 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.059 * [taylor]: Taking taylor expansion of z in z
0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z
0.059 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.059 * [taylor]: Taking taylor expansion of x in z
0.059 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.059 * [taylor]: Taking taylor expansion of y in z
0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow z 2) (+ (pow x 2) (pow y 2)))) in y
0.060 * [taylor]: Taking taylor expansion of (+ (pow z 2) (+ (pow x 2) (pow y 2))) in y
0.060 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.060 * [taylor]: Taking taylor expansion of z in y
0.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow z 2) (+ (pow x 2) (pow y 2)))) in x
0.060 * [taylor]: Taking taylor expansion of (+ (pow z 2) (+ (pow x 2) (pow y 2))) in x
0.060 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.060 * [taylor]: Taking taylor expansion of z in x
0.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.060 * [taylor]: Taking taylor expansion of x in x
0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.060 * [taylor]: Taking taylor expansion of y in x
0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow z 2) (+ (pow x 2) (pow y 2)))) in x
0.061 * [taylor]: Taking taylor expansion of (+ (pow z 2) (+ (pow x 2) (pow y 2))) in x
0.061 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.061 * [taylor]: Taking taylor expansion of z in x
0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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) in x
0.061 * [taylor]: Taking taylor expansion of y in x
0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow z 2) (pow y 2))) in y
0.062 * [taylor]: Taking taylor expansion of (+ (pow z 2) (pow y 2)) in y
0.062 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.062 * [taylor]: Taking taylor expansion of z in y
0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.062 * [taylor]: Taking taylor expansion of y in y
0.062 * [taylor]: Taking taylor expansion of z in z
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [taylor]: Taking taylor expansion of 0 in z
0.062 * [taylor]: Taking taylor expansion of 0 in z
0.063 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow z 2) (pow y 2))))) in y
0.063 * [taylor]: Taking taylor expansion of 1/2 in y
0.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow z 2) (pow y 2)))) in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow z 2) (pow y 2))) in y
0.063 * [taylor]: Taking taylor expansion of (+ (pow z 2) (pow y 2)) in y
0.063 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.063 * [taylor]: Taking taylor expansion of z in y
0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.063 * [taylor]: Taking taylor expansion of y in y
0.063 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.063 * [taylor]: Taking taylor expansion of 1/2 in z
0.064 * [taylor]: Taking taylor expansion of z in z
0.064 * [taylor]: Taking taylor expansion of 0 in z
0.064 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.064 * [taylor]: Taking taylor expansion of 1/2 in z
0.064 * [taylor]: Taking taylor expansion of z in z
0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.064 * [taylor]: Taking taylor expansion of x in z
0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.064 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.064 * [taylor]: Taking taylor expansion of z in z
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.065 * [taylor]: Taking taylor expansion of y in z
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.065 * [taylor]: Taking taylor expansion of x in y
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.065 * [taylor]: Taking taylor expansion of z in y
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.065 * [taylor]: Taking taylor expansion of y in y
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.065 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.065 * [taylor]: Taking taylor expansion of z in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.066 * [taylor]: Taking taylor expansion of z in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.066 * [taylor]: Taking taylor expansion of 1 in y
0.066 * [taylor]: Taking taylor expansion of 0 in y
0.066 * [taylor]: Taking taylor expansion of 1 in z
0.067 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.067 * [taylor]: Taking taylor expansion of 1/2 in y
0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.067 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.067 * [taylor]: Taking taylor expansion of z in y
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [taylor]: Taking taylor expansion of 0 in z
0.067 * [taylor]: Taking taylor expansion of 0 in z
0.067 * [taylor]: Taking taylor expansion of 0 in z
0.068 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.069 * [taylor]: Taking taylor expansion of 1/2 in z
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.069 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.069 * [taylor]: Taking taylor expansion of z in z
0.069 * [taylor]: Taking taylor expansion of 0 in z
0.069 * [taylor]: Taking taylor expansion of 0 in z
0.070 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow z 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.070 * [taylor]: Taking taylor expansion of -1/2 in y
0.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow z 4))) (* 1/4 (/ 1 (pow y 4))))) in y
0.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.070 * [taylor]: Taking taylor expansion of 1/2 in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.070 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.070 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.070 * [taylor]: Taking taylor expansion of z in y
0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.070 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (* 1/4 (/ 1 (pow y 4)))) in y
0.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.070 * [taylor]: Taking taylor expansion of 1/4 in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.070 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.070 * [taylor]: Taking taylor expansion of z in y
0.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.070 * [taylor]: Taking taylor expansion of 1/4 in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.070 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.071 * [taylor]: Taking taylor expansion of 0 in z
0.071 * [taylor]: Taking taylor expansion of 0 in z
0.072 * [taylor]: Taking taylor expansion of 0 in z
0.072 * [taylor]: Taking taylor expansion of 0 in z
0.072 * [taylor]: Taking taylor expansion of 0 in z
0.072 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.072 * [taylor]: Taking taylor expansion of x in z
0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.072 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.072 * [taylor]: Taking taylor expansion of z in z
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.073 * [taylor]: Taking taylor expansion of y in z
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.073 * [taylor]: Taking taylor expansion of x in y
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.073 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.073 * [taylor]: Taking taylor expansion of z in y
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.073 * [taylor]: Taking taylor expansion of z in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.074 * [taylor]: Taking taylor expansion of x in x
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.074 * [taylor]: Taking taylor expansion of z in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.074 * [taylor]: Taking taylor expansion of 1 in y
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [taylor]: Taking taylor expansion of 1 in z
0.075 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.075 * [taylor]: Taking taylor expansion of 1/2 in y
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.075 * [taylor]: Taking taylor expansion of z in y
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [taylor]: Taking taylor expansion of 0 in z
0.075 * [taylor]: Taking taylor expansion of 0 in z
0.075 * [taylor]: Taking taylor expansion of 0 in z
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.076 * [taylor]: Taking taylor expansion of 1/2 in z
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.076 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.076 * [taylor]: Taking taylor expansion of z in z
0.076 * [taylor]: Taking taylor expansion of 0 in z
0.076 * [taylor]: Taking taylor expansion of 0 in z
0.077 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow z 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.077 * [taylor]: Taking taylor expansion of -1/2 in y
0.077 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow z 4))) (* 1/4 (/ 1 (pow y 4))))) in y
0.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.077 * [taylor]: Taking taylor expansion of 1/2 in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.077 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.077 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.077 * [taylor]: Taking taylor expansion of z in y
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.078 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (* 1/4 (/ 1 (pow y 4)))) in y
0.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.078 * [taylor]: Taking taylor expansion of 1/4 in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.078 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.078 * [taylor]: Taking taylor expansion of z in y
0.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.078 * [taylor]: Taking taylor expansion of 1/4 in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.078 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.079 * [taylor]: Taking taylor expansion of 0 in z
0.079 * [taylor]: Taking taylor expansion of 0 in z
0.079 * [taylor]: Taking taylor expansion of 0 in z
0.079 * [taylor]: Taking taylor expansion of 0 in z
0.079 * [taylor]: Taking taylor expansion of 0 in z
0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.080 * [taylor]: Taking taylor expansion of x in y
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [taylor]: Taking taylor expansion of 1 in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.081 * [taylor]: Taking taylor expansion of x in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.081 * [taylor]: Taking taylor expansion of y in y
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 y 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.081 * [taylor]: Taking taylor expansion of y in x
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 y 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.081 * [taylor]: Taking taylor expansion of y in x
0.082 * [taylor]: Taking taylor expansion of 1 in y
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.083 * [taylor]: Taking taylor expansion of x in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.084 * [taylor]: Taking taylor expansion of 1 in y
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.084 * [taylor]: Taking taylor expansion of y in y
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.085 * * * [progress]: simplifying candidates
0.086 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.087 * * [simplify]: iteration  0 :  63  enodes  (cost  471 )
0.099 * * [simplify]: iteration  1 :  173  enodes  (cost  417 )
0.139 * * [simplify]: iteration  2 :  570  enodes  (cost  387 )
0.376 * * [simplify]: iteration  3 :  1961  enodes  (cost  377 )
1.167 * * [simplify]: iteration  done :  5001  enodes  (cost  377 )
1.167 * [simplify]: Simplified to:
   (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow z 6) (pow (+ (* x x) (* y y)) 3)))
  (sqrt (- (pow z 4) (* (+ (* x x) (* y y)) (- (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (pow z 4)))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  z
  x
  (neg x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.167 * * * [progress]: adding candidates to table
1.206 * * [progress]: iteration 2 / 4
1.206 * * * [progress]: picking best candidate
1.212 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
1.212 * * * [progress]: localizing error
1.213 * * * [progress]: generating rewritten candidates
1.213 * * * [progress]: generating series expansions
1.213 * * * [progress]: simplifying candidates
1.213 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.214 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.214 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.214 * [simplify]: Simplified to:
   
1.214 * * * [progress]: adding candidates to table
1.214 * * [progress]: iteration 3 / 4
1.214 * * * [progress]: picking best candidate
1.221 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
1.221 * * * [progress]: localizing error
1.222 * * * [progress]: generating rewritten candidates
1.222 * * * [progress]: generating series expansions
1.222 * * * [progress]: simplifying candidates
1.222 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.223 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.223 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.223 * [simplify]: Simplified to:
   
1.223 * * * [progress]: adding candidates to table
1.223 * * [progress]: iteration 4 / 4
1.223 * * * [progress]: picking best candidate
1.226 * * * * [pick]: Picked  #<alt (λ (x y z) (neg x))>
1.226 * * * [progress]: localizing error
1.227 * * * [progress]: generating rewritten candidates
1.227 * * * [progress]: generating series expansions
1.227 * * * [progress]: simplifying candidates
1.227 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.228 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.228 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.228 * [simplify]: Simplified to:
   
1.228 * * * [progress]: adding candidates to table
1.228 * [progress]: [Phase 3 of 3] Extracting.
1.228 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.229 * * * [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)
1.229 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.283 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.333 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.386 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.433 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
1.471 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.517 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
1.557 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.600 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.647 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.716 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.771 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.828 * * * [regime]: Found split indices: #<option (#s(si 0 48) #s(si 2 219) #s(si 3 255))>
1.828 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.865 * [regimes]: Found splitpoints: (#s(sp 0 x -4.494031953760747e+66) #s(sp 2 x 3.888633308672755e+130) #s(sp 3 x +nan.0)) , with alts (#<alt (λ (x y z) (neg x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)>)
1.865 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x -4.494031953760747e+66) (neg x) (if (<= x 3.888633308672755e+130) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
1.865 * * [simplify]: iteration  0 :  16  enodes  (cost  23 )
1.866 * * [simplify]: iteration  1 :  18  enodes  (cost  23 )
1.866 * * [simplify]: iteration  done :  18  enodes  (cost  23 )
1.866 * [simplify]: Simplified to:
   (if (<= x -4.494031953760747e+66) (neg x) (if (<= x 3.888633308672755e+130) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
3.007 * [regime-testing]: End program error score: 26.141452597891515
3.109 * [regime-testing]: Target error score: 25.305425307242885