34.960 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
1.259 * * * [progress]: [2/2] Setting up program.
1.262 * [progress]: [Phase 2 of 3] Improving.
1.263 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
1.265 * * [simplify]: iteration  0 :  13  enodes  (cost  6 )
1.266 * * [simplify]: iteration  1 :  20  enodes  (cost  6 )
1.267 * * [simplify]: iteration  2 :  22  enodes  (cost  6 )
1.268 * * [simplify]: iteration  3 :  22  enodes  (cost  6 )
1.268 * [simplify]: Simplified to:
   (sqrt (+ (+ (* x x) (* y y)) (* z z)))
1.268 * * [progress]: iteration 1 / 4
1.268 * * * [progress]: picking best candidate
1.271 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
1.271 * * * [progress]: localizing error
1.279 * * * [progress]: generating rewritten candidates
1.279 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.283 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
1.287 * * * [progress]: generating series expansions
1.287 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.287 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
1.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
1.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
1.288 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.288 * [taylor]: Taking taylor expansion of x in z
1.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
1.288 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.288 * [taylor]: Taking taylor expansion of y in z
1.288 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.288 * [taylor]: Taking taylor expansion of z in z
1.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
1.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
1.288 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.288 * [taylor]: Taking taylor expansion of x in y
1.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.288 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.288 * [taylor]: Taking taylor expansion of y in y
1.288 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.288 * [taylor]: Taking taylor expansion of z in y
1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.289 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.289 * [taylor]: Taking taylor expansion of x in x
1.289 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.289 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.289 * [taylor]: Taking taylor expansion of y in x
1.289 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.289 * [taylor]: Taking taylor expansion of z in x
1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
1.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
1.289 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.289 * [taylor]: Taking taylor expansion of x in x
1.289 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
1.289 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.289 * [taylor]: Taking taylor expansion of y in x
1.289 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.289 * [taylor]: Taking taylor expansion of z in x
1.290 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.290 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.290 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.290 * [taylor]: Taking taylor expansion of y in y
1.290 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.290 * [taylor]: Taking taylor expansion of z in y
1.290 * [taylor]: Taking taylor expansion of z in z
1.290 * [taylor]: Taking taylor expansion of 0 in y
1.290 * [taylor]: Taking taylor expansion of 0 in z
1.290 * [taylor]: Taking taylor expansion of 0 in z
1.291 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.291 * [taylor]: Taking taylor expansion of 1/2 in y
1.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.291 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.291 * [taylor]: Taking taylor expansion of y in y
1.291 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.291 * [taylor]: Taking taylor expansion of z in y
1.291 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.291 * [taylor]: Taking taylor expansion of 1/2 in z
1.291 * [taylor]: Taking taylor expansion of z in z
1.291 * [taylor]: Taking taylor expansion of 0 in z
1.291 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.291 * [taylor]: Taking taylor expansion of 1/2 in z
1.291 * [taylor]: Taking taylor expansion of z in z
1.292 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.292 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.292 * [taylor]: Taking taylor expansion of x in z
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.292 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.292 * [taylor]: Taking taylor expansion of z in z
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.292 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.292 * [taylor]: Taking taylor expansion of y in z
1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.292 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.292 * [taylor]: Taking taylor expansion of x in y
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.292 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.292 * [taylor]: Taking taylor expansion of z in y
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.292 * [taylor]: Taking taylor expansion of y in y
1.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.293 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.293 * [taylor]: Taking taylor expansion of x in x
1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.293 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.293 * [taylor]: Taking taylor expansion of z in x
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.293 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.293 * [taylor]: Taking taylor expansion of y in x
1.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.293 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.293 * [taylor]: Taking taylor expansion of x in x
1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.293 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.293 * [taylor]: Taking taylor expansion of z in x
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.293 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.293 * [taylor]: Taking taylor expansion of y in x
1.294 * [taylor]: Taking taylor expansion of 1 in y
1.294 * [taylor]: Taking taylor expansion of 0 in y
1.294 * [taylor]: Taking taylor expansion of 1 in z
1.294 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.294 * [taylor]: Taking taylor expansion of 1/2 in y
1.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.294 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.295 * [taylor]: Taking taylor expansion of z in y
1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.295 * [taylor]: Taking taylor expansion of y in y
1.295 * [taylor]: Taking taylor expansion of 0 in z
1.295 * [taylor]: Taking taylor expansion of 0 in z
1.295 * [taylor]: Taking taylor expansion of 0 in z
1.295 * [taylor]: Taking taylor expansion of 0 in y
1.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.296 * [taylor]: Taking taylor expansion of 1/2 in z
1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.296 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.296 * [taylor]: Taking taylor expansion of z in z
1.296 * [taylor]: Taking taylor expansion of 0 in z
1.296 * [taylor]: Taking taylor expansion of 0 in z
1.297 * [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
1.297 * [taylor]: Taking taylor expansion of -1/2 in y
1.297 * [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
1.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.297 * [taylor]: Taking taylor expansion of 1/4 in y
1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.297 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.297 * [taylor]: Taking taylor expansion of z in y
1.297 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.297 * [taylor]: Taking taylor expansion of 1/2 in y
1.297 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.297 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.297 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.297 * [taylor]: Taking taylor expansion of z in y
1.297 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.297 * [taylor]: Taking taylor expansion of y in y
1.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.297 * [taylor]: Taking taylor expansion of 1/4 in y
1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.297 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.297 * [taylor]: Taking taylor expansion of y in y
1.298 * [taylor]: Taking taylor expansion of 0 in z
1.298 * [taylor]: Taking taylor expansion of 0 in z
1.299 * [taylor]: Taking taylor expansion of 0 in z
1.299 * [taylor]: Taking taylor expansion of 0 in z
1.299 * [taylor]: Taking taylor expansion of 0 in z
1.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.299 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.299 * [taylor]: Taking taylor expansion of x in z
1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.299 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.299 * [taylor]: Taking taylor expansion of z in z
1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.299 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.299 * [taylor]: Taking taylor expansion of y in z
1.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.300 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.300 * [taylor]: Taking taylor expansion of x in y
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.300 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.300 * [taylor]: Taking taylor expansion of z in y
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.300 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.300 * [taylor]: Taking taylor expansion of y in y
1.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.300 * [taylor]: Taking taylor expansion of x in x
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.300 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.300 * [taylor]: Taking taylor expansion of z in x
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.300 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.300 * [taylor]: Taking taylor expansion of y in x
1.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.300 * [taylor]: Taking taylor expansion of x in x
1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.301 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.301 * [taylor]: Taking taylor expansion of z in x
1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.301 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.301 * [taylor]: Taking taylor expansion of y in x
1.301 * [taylor]: Taking taylor expansion of 1 in y
1.301 * [taylor]: Taking taylor expansion of 0 in y
1.301 * [taylor]: Taking taylor expansion of 1 in z
1.301 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
1.301 * [taylor]: Taking taylor expansion of 1/2 in y
1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.302 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.302 * [taylor]: Taking taylor expansion of z in y
1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.302 * [taylor]: Taking taylor expansion of y in y
1.302 * [taylor]: Taking taylor expansion of 0 in z
1.302 * [taylor]: Taking taylor expansion of 0 in z
1.302 * [taylor]: Taking taylor expansion of 0 in z
1.302 * [taylor]: Taking taylor expansion of 0 in y
1.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.303 * [taylor]: Taking taylor expansion of 1/2 in z
1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.303 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.303 * [taylor]: Taking taylor expansion of z in z
1.303 * [taylor]: Taking taylor expansion of 0 in z
1.303 * [taylor]: Taking taylor expansion of 0 in z
1.304 * [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
1.304 * [taylor]: Taking taylor expansion of -1/2 in y
1.304 * [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
1.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.304 * [taylor]: Taking taylor expansion of 1/4 in y
1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.304 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.304 * [taylor]: Taking taylor expansion of z in y
1.304 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
1.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.304 * [taylor]: Taking taylor expansion of 1/2 in y
1.304 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.304 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.304 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.304 * [taylor]: Taking taylor expansion of z in y
1.304 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.304 * [taylor]: Taking taylor expansion of y in y
1.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.304 * [taylor]: Taking taylor expansion of 1/4 in y
1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.304 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.304 * [taylor]: Taking taylor expansion of y in y
1.305 * [taylor]: Taking taylor expansion of 0 in z
1.305 * [taylor]: Taking taylor expansion of 0 in z
1.305 * [taylor]: Taking taylor expansion of 0 in z
1.306 * [taylor]: Taking taylor expansion of 0 in z
1.306 * [taylor]: Taking taylor expansion of 0 in z
1.306 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
1.306 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
1.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.306 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.306 * [taylor]: Taking taylor expansion of x in y
1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.306 * [taylor]: Taking taylor expansion of y in y
1.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.306 * [taylor]: Taking taylor expansion of x in x
1.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.306 * [taylor]: Taking taylor expansion of y in x
1.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.306 * [taylor]: Taking taylor expansion of x in x
1.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.306 * [taylor]: Taking taylor expansion of y in x
1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.306 * [taylor]: Taking taylor expansion of y in y
1.306 * [taylor]: Taking taylor expansion of 0 in y
1.306 * [taylor]: Taking taylor expansion of 1 in y
1.306 * [taylor]: Taking taylor expansion of 0 in y
1.307 * [taylor]: Taking taylor expansion of 0 in y
1.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.307 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.307 * [taylor]: Taking taylor expansion of x in y
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.307 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.307 * [taylor]: Taking taylor expansion of y in y
1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.307 * [taylor]: Taking taylor expansion of x in x
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.307 * [taylor]: Taking taylor expansion of y in x
1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.307 * [taylor]: Taking taylor expansion of x in x
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.307 * [taylor]: Taking taylor expansion of y in x
1.308 * [taylor]: Taking taylor expansion of 1 in y
1.308 * [taylor]: Taking taylor expansion of 0 in y
1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.308 * [taylor]: Taking taylor expansion of y in y
1.308 * [taylor]: Taking taylor expansion of 0 in y
1.308 * [taylor]: Taking taylor expansion of 0 in y
1.309 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.309 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.309 * [taylor]: Taking taylor expansion of x in y
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.309 * [taylor]: Taking taylor expansion of y in y
1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.309 * [taylor]: Taking taylor expansion of x in x
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.309 * [taylor]: Taking taylor expansion of y in x
1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.309 * [taylor]: Taking taylor expansion of x in x
1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.309 * [taylor]: Taking taylor expansion of y in x
1.309 * [taylor]: Taking taylor expansion of 1 in y
1.310 * [taylor]: Taking taylor expansion of 0 in y
1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.310 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.310 * [taylor]: Taking taylor expansion of y in y
1.310 * [taylor]: Taking taylor expansion of 0 in y
1.310 * [taylor]: Taking taylor expansion of 0 in y
1.311 * * * [progress]: simplifying candidates
1.311 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
1.314 * * [simplify]: iteration  0 :  173  enodes  (cost  212 )
1.318 * * [simplify]: iteration  1 :  707  enodes  (cost  203 )
1.327 * * [simplify]: iteration  2 :  1993  enodes  (cost  203 )
1.366 * * [simplify]: iteration  3 :  5001  enodes  (cost  202 )
1.367 * [simplify]: Simplified to:
   (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (+ (* (neg (pow y 3)) y) (pow x 4))
  (- (* x x) (* y y))
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
1.367 * * * [progress]: adding candidates to table
1.406 * * [progress]: iteration 2 / 4
1.406 * * * [progress]: picking best candidate
1.413 * * * * [pick]: Picked  #<alt (λ (x y z) x)>
1.413 * * * [progress]: localizing error
1.413 * * * [progress]: generating rewritten candidates
1.414 * * * [progress]: generating series expansions
1.414 * * * [progress]: simplifying candidates
1.414 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
1.416 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.416 * [simplify]: Simplified to:
   
1.416 * * * [progress]: adding candidates to table
1.416 * * [progress]: iteration 3 / 4
1.416 * * * [progress]: picking best candidate
1.421 * * * * [pick]: Picked  #<alt (λ (x y z) (* -1 x))>
1.421 * * * [progress]: localizing error
1.423 * * * [progress]: generating rewritten candidates
1.423 * * * [progress]: generating series expansions
1.423 * * * [progress]: simplifying candidates
1.423 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
1.425 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.425 * [simplify]: Simplified to:
   
1.425 * * * [progress]: adding candidates to table
1.425 * * [progress]: iteration 4 / 4
1.425 * * * [progress]: picking best candidate
1.427 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
1.428 * * * [progress]: localizing error
1.428 * * * [progress]: generating rewritten candidates
1.428 * * * [progress]: generating series expansions
1.428 * * * [progress]: simplifying candidates
1.429 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
1.430 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.431 * [simplify]: Simplified to:
   
1.431 * * * [progress]: adding candidates to table
1.431 * [progress]: [Phase 3 of 3] Extracting.
1.431 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.431 * * * [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)
1.431 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.475 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.514 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.558 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.602 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
1.641 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.684 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)>)
1.719 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.760 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.805 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.862 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.914 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
1.969 * * * [regime]: Found split indices: #<option (#s(si 3 48) #s(si 0 213) #s(si 2 255))>
1.969 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
2.000 * [regimes]: Found splitpoints: (#s(sp 3 x -2.4968492265159954e+63) #s(sp 0 x 2.622937754902571e+106) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* -1 x))>)
2.000 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -2.4968492265159954e+63) (* -1 x) (if (<= x 2.622937754902571e+106) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
2.001 * * [simplify]: iteration  0 :  21  enodes  (cost  7 )
2.001 * * [simplify]: iteration  1 :  21  enodes  (cost  7 )
2.001 * [simplify]: Simplified to:
   (if (<= x -2.4968492265159954e+63) (* -1 x) (if (<= x 2.622937754902571e+106) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
4.292 * [regime-testing]: End program error score: 25.971425707389724
4.396 * [regime-testing]: Target error score: 25.692512948250872