4.131 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.058 * * * [progress]: [2/2] Setting up program.
0.061 * [progress]: [Phase 2 of 3] Improving.
0.061 * [simplify]: Simplifying:
  (* 2.0 (sqrt (+ (+ (* x y) (* x z)) (* y z))))
0.061 * * [simplify]: Extracting # 0 : cost  0
0.061 * * [simplify]: Extracting # 1 : cost  0
0.061 * * [simplify]: Extracting # 2 : cost  0
0.061 * * [simplify]: Extracting # 3 : cost  0
0.061 * * [simplify]: Extracting # 4 : cost  0
0.061 * * [simplify]: Extracting # 5 : cost  0
0.061 * * [simplify]: Extracting # 6 : cost  0
0.061 * * [simplify]: Extracting # 7 : cost  0
0.061 * * [simplify]: iteration  0 :  11  enodes  (cost  14 )
0.063 * * [simplify]: Extracting # 0 : cost  0
0.063 * * [simplify]: Extracting # 1 : cost  0
0.063 * * [simplify]: Extracting # 2 : cost  0
0.063 * * [simplify]: Extracting # 3 : cost  0
0.063 * * [simplify]: Extracting # 4 : cost  0
0.063 * * [simplify]: iteration  1 :  21  enodes  (cost  12 )
0.067 * * [simplify]: Extracting # 0 : cost  0
0.067 * * [simplify]: Extracting # 1 : cost  0
0.067 * * [simplify]: Extracting # 2 : cost  0
0.067 * * [simplify]: iteration  2 :  33  enodes  (cost  12 )
0.075 * * [simplify]: Extracting # 0 : cost  0
0.075 * * [simplify]: Extracting # 1 : cost  0
0.075 * * [simplify]: Extracting # 2 : cost  0
0.075 * * [simplify]: Extracting # 3 : cost  0
0.075 * * [simplify]: iteration  3 :  42  enodes  (cost  12 )
0.107 * * [simplify]: Extracting # 0 : cost  0
0.108 * * [simplify]: iteration  4 :  43  enodes  (cost  12 )
0.121 * * [simplify]: Extracting # 0 : cost  0
0.121 * * [simplify]: iteration done:  43  enodes  (cost  12 )
0.122 * [simplify]: Simplified to:
  (* (sqrt (+ (* y z) (* x (+ y z)))) 2.0)
0.128 * * [progress]: iteration 1 / 4
0.128 * * * [progress]: picking best candidate
0.131 * * * * [pick]: Picked  #<alt (λ (x y z) (* 2.0 (sqrt (+ (+ (* x y) (* x z)) (* y z)))))>
0.131 * * * [progress]: localizing error
0.143 * * * [progress]: generating rewritten candidates
0.143 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
0.174 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1)
0.198 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
0.256 * * * [progress]: generating series expansions
0.256 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
0.257 * [backup-simplify]: Simplify (sqrt (+ (+ (* x y) (* x z)) (* y z))) into (sqrt (+ (* x z) (+ (* z y) (* x y))))
0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in (x y z) around 0
0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in z
0.257 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in z
0.257 * [taylor]: Taking taylor expansion of (* x z) in z
0.257 * [taylor]: Taking taylor expansion of x in z
0.257 * [backup-simplify]: Simplify x into x
0.257 * [taylor]: Taking taylor expansion of z in z
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in z
0.257 * [taylor]: Taking taylor expansion of (* z y) in z
0.257 * [taylor]: Taking taylor expansion of z in z
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [taylor]: Taking taylor expansion of y in z
0.257 * [backup-simplify]: Simplify y into y
0.257 * [taylor]: Taking taylor expansion of (* x y) in z
0.257 * [taylor]: Taking taylor expansion of x in z
0.257 * [backup-simplify]: Simplify x into x
0.257 * [taylor]: Taking taylor expansion of y in z
0.257 * [backup-simplify]: Simplify y into y
0.257 * [backup-simplify]: Simplify (* x 0) into 0
0.257 * [backup-simplify]: Simplify (* 0 y) into 0
0.257 * [backup-simplify]: Simplify (* x y) into (* x y)
0.258 * [backup-simplify]: Simplify (+ 0 (* x y)) into (* x y)
0.258 * [backup-simplify]: Simplify (+ 0 (* x y)) into (* x y)
0.258 * [backup-simplify]: Simplify (sqrt (* x y)) into (sqrt (* x y))
0.258 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.259 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0
0.259 * [backup-simplify]: Simplify (+ y 0) into y
0.259 * [backup-simplify]: Simplify (+ x y) into (+ x y)
0.259 * [backup-simplify]: Simplify (/ (+ x y) (* 2 (sqrt (* x y)))) into (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in y
0.259 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in y
0.259 * [taylor]: Taking taylor expansion of (* x z) in y
0.259 * [taylor]: Taking taylor expansion of x in y
0.259 * [backup-simplify]: Simplify x into x
0.259 * [taylor]: Taking taylor expansion of z in y
0.260 * [backup-simplify]: Simplify z into z
0.260 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in y
0.260 * [taylor]: Taking taylor expansion of (* z y) in y
0.260 * [taylor]: Taking taylor expansion of z in y
0.260 * [backup-simplify]: Simplify z into z
0.260 * [taylor]: Taking taylor expansion of y in y
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [taylor]: Taking taylor expansion of (* x y) in y
0.260 * [taylor]: Taking taylor expansion of x in y
0.260 * [backup-simplify]: Simplify x into x
0.260 * [taylor]: Taking taylor expansion of y in y
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* x z) into (* x z)
0.260 * [backup-simplify]: Simplify (* z 0) into 0
0.260 * [backup-simplify]: Simplify (* x 0) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (+ (* x z) 0) into (* x z)
0.261 * [backup-simplify]: Simplify (sqrt (* x z)) into (sqrt (* x z))
0.261 * [backup-simplify]: Simplify (+ (* x 0) (* 0 z)) into 0
0.261 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z
0.262 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.262 * [backup-simplify]: Simplify (+ z x) into (+ x z)
0.262 * [backup-simplify]: Simplify (+ 0 (+ x z)) into (+ x z)
0.262 * [backup-simplify]: Simplify (/ (+ x z) (* 2 (sqrt (* x z)))) into (* 1/2 (* (+ x z) (sqrt (/ 1 (* x z)))))
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in x
0.262 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in x
0.262 * [taylor]: Taking taylor expansion of (* x z) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of z in x
0.262 * [backup-simplify]: Simplify z into z
0.262 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in x
0.262 * [taylor]: Taking taylor expansion of (* z y) in x
0.262 * [taylor]: Taking taylor expansion of z in x
0.262 * [backup-simplify]: Simplify z into z
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [backup-simplify]: Simplify y into y
0.262 * [taylor]: Taking taylor expansion of (* x y) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [backup-simplify]: Simplify y into y
0.262 * [backup-simplify]: Simplify (* 0 z) into 0
0.263 * [backup-simplify]: Simplify (* z y) into (* z y)
0.263 * [backup-simplify]: Simplify (* 0 y) into 0
0.263 * [backup-simplify]: Simplify (+ (* z y) 0) into (* z y)
0.263 * [backup-simplify]: Simplify (+ 0 (* z y)) into (* z y)
0.263 * [backup-simplify]: Simplify (sqrt (* z y)) into (sqrt (* z y))
0.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 z)) into z
0.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0
0.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.264 * [backup-simplify]: Simplify (+ 0 y) into y
0.264 * [backup-simplify]: Simplify (+ z y) into (+ z y)
0.264 * [backup-simplify]: Simplify (/ (+ z y) (* 2 (sqrt (* z y)))) into (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y)))))
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in x
0.264 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in x
0.264 * [taylor]: Taking taylor expansion of (* x z) in x
0.264 * [taylor]: Taking taylor expansion of x in x
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [taylor]: Taking taylor expansion of z in x
0.264 * [backup-simplify]: Simplify z into z
0.264 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in x
0.264 * [taylor]: Taking taylor expansion of (* z y) in x
0.265 * [taylor]: Taking taylor expansion of z in x
0.265 * [backup-simplify]: Simplify z into z
0.265 * [taylor]: Taking taylor expansion of y in x
0.265 * [backup-simplify]: Simplify y into y
0.265 * [taylor]: Taking taylor expansion of (* x y) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [taylor]: Taking taylor expansion of y in x
0.265 * [backup-simplify]: Simplify y into y
0.265 * [backup-simplify]: Simplify (* 0 z) into 0
0.265 * [backup-simplify]: Simplify (* z y) into (* z y)
0.265 * [backup-simplify]: Simplify (* 0 y) into 0
0.265 * [backup-simplify]: Simplify (+ (* z y) 0) into (* z y)
0.265 * [backup-simplify]: Simplify (+ 0 (* z y)) into (* z y)
0.265 * [backup-simplify]: Simplify (sqrt (* z y)) into (sqrt (* z y))
0.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 z)) into z
0.266 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0
0.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.266 * [backup-simplify]: Simplify (+ 0 y) into y
0.266 * [backup-simplify]: Simplify (+ z y) into (+ z y)
0.266 * [backup-simplify]: Simplify (/ (+ z y) (* 2 (sqrt (* z y)))) into (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y)))))
0.267 * [taylor]: Taking taylor expansion of (sqrt (* z y)) in y
0.267 * [taylor]: Taking taylor expansion of (* z y) in y
0.267 * [taylor]: Taking taylor expansion of z in y
0.267 * [backup-simplify]: Simplify z into z
0.267 * [taylor]: Taking taylor expansion of y in y
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* z 0) into 0
0.267 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z
0.268 * [backup-simplify]: Simplify (sqrt 0) into 0
0.269 * [backup-simplify]: Simplify (/ z (* 2 (sqrt 0))) into (* +nan.0 z)
0.269 * [taylor]: Taking taylor expansion of 0 in z
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y))))) in y
0.269 * [taylor]: Taking taylor expansion of 1/2 in y
0.269 * [backup-simplify]: Simplify 1/2 into 1/2
0.269 * [taylor]: Taking taylor expansion of (* (+ z y) (sqrt (/ 1 (* z y)))) in y
0.269 * [taylor]: Taking taylor expansion of (+ z y) in y
0.269 * [taylor]: Taking taylor expansion of z in y
0.269 * [backup-simplify]: Simplify z into z
0.269 * [taylor]: Taking taylor expansion of y in y
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* z y))) in y
0.269 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y
0.269 * [taylor]: Taking taylor expansion of (* z y) in y
0.269 * [taylor]: Taking taylor expansion of z in y
0.269 * [backup-simplify]: Simplify z into z
0.269 * [taylor]: Taking taylor expansion of y in y
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* z 0) into 0
0.270 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z
0.270 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.270 * [backup-simplify]: Simplify (sqrt 0) into 0
0.271 * [backup-simplify]: Simplify (/ (/ 1 z) (* 2 (sqrt 0))) into (/ +nan.0 z)
0.271 * [backup-simplify]: Simplify (+ z 0) into z
0.271 * [backup-simplify]: Simplify (+ 0 1) into 1
0.272 * [backup-simplify]: Simplify (+ (* z (/ +nan.0 z)) (* 1 0)) into (- +nan.0)
0.272 * [backup-simplify]: Simplify (* z 0) into 0
0.274 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0)
0.274 * [taylor]: Taking taylor expansion of (- +nan.0) in z
0.274 * [taylor]: Taking taylor expansion of +nan.0 in z
0.274 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.274 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.275 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.275 * [taylor]: Taking taylor expansion of (* +nan.0 z) in z
0.275 * [taylor]: Taking taylor expansion of +nan.0 in z
0.275 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.275 * [taylor]: Taking taylor expansion of z in z
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 z))) into 0
0.277 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0
0.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y))))) 2) (+)) (* 2 (sqrt (* z y)))) into (* -1/2 (* (sqrt (/ 1 (* z y))) (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2))))
0.280 * [taylor]: Taking taylor expansion of (* -1/2 (* (sqrt (/ 1 (* z y))) (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2)))) in y
0.280 * [taylor]: Taking taylor expansion of -1/2 in y
0.280 * [backup-simplify]: Simplify -1/2 into -1/2
0.280 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* z y))) (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2))) in y
0.280 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* z y))) in y
0.280 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y
0.280 * [taylor]: Taking taylor expansion of (* z y) in y
0.280 * [taylor]: Taking taylor expansion of z in y
0.280 * [backup-simplify]: Simplify z into z
0.280 * [taylor]: Taking taylor expansion of y in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* z 0) into 0
0.280 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z
0.281 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.281 * [backup-simplify]: Simplify (sqrt 0) into 0
0.282 * [backup-simplify]: Simplify (/ (/ 1 z) (* 2 (sqrt 0))) into (/ +nan.0 z)
0.282 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2)) in y
0.282 * [taylor]: Taking taylor expansion of (* 1/4 (/ y z)) in y
0.282 * [taylor]: Taking taylor expansion of 1/4 in y
0.282 * [backup-simplify]: Simplify 1/4 into 1/4
0.282 * [taylor]: Taking taylor expansion of (/ y z) in y
0.282 * [taylor]: Taking taylor expansion of y in y
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [taylor]: Taking taylor expansion of z in y
0.282 * [backup-simplify]: Simplify z into z
0.282 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.282 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ z y)) 1/2) in y
0.282 * [taylor]: Taking taylor expansion of (* 1/4 (/ z y)) in y
0.282 * [taylor]: Taking taylor expansion of 1/4 in y
0.282 * [backup-simplify]: Simplify 1/4 into 1/4
0.282 * [taylor]: Taking taylor expansion of (/ z y) in y
0.282 * [taylor]: Taking taylor expansion of z in y
0.282 * [backup-simplify]: Simplify z into z
0.282 * [taylor]: Taking taylor expansion of y in y
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (/ z 1) into z
0.282 * [taylor]: Taking taylor expansion of 1/2 in y
0.282 * [backup-simplify]: Simplify 1/2 into 1/2
0.282 * [backup-simplify]: Simplify (* 1/4 (/ 1 z)) into (/ 1/4 z)
0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 z))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (+ (/ 1/4 z) 0) into (* 1/4 (/ 1 z))
0.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 z)) into 0
0.288 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.288 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.289 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0