23.328 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.019 * * * [progress]: [2/2] Setting up program.
0.021 * [progress]: [Phase 2 of 3] Improving.
0.021 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ x y))
0.021 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ h0 h1))
0.023 * * [simplify]: iteration  0 :  5  enodes  (cost  2 )
0.025 * * [simplify]: iteration  1 :  5  enodes  (cost  2 )
0.025 * [simplify]: Simplified to:
   (sqrt (+ x y))
0.025 * * [progress]: iteration 1 / 4
0.025 * * * [progress]: picking best candidate
0.026 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ x y)))>
0.026 * * * [progress]: localizing error
0.030 * * * [progress]: generating rewritten candidates
0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.038 * * * [progress]: generating series expansions
0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.038 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y
0.038 * [taylor]: Taking taylor expansion of (+ x y) in y
0.038 * [taylor]: Taking taylor expansion of x in y
0.038 * [taylor]: Taking taylor expansion of y in y
0.039 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x
0.039 * [taylor]: Taking taylor expansion of (+ x y) in x
0.039 * [taylor]: Taking taylor expansion of x in x
0.039 * [taylor]: Taking taylor expansion of y in x
0.039 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x
0.039 * [taylor]: Taking taylor expansion of (+ x y) in x
0.039 * [taylor]: Taking taylor expansion of x in x
0.039 * [taylor]: Taking taylor expansion of y in x
0.039 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.040 * [taylor]: Taking taylor expansion of y in y
0.041 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.041 * [taylor]: Taking taylor expansion of 1/2 in y
0.041 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.041 * [taylor]: Taking taylor expansion of y in y
0.044 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y
0.044 * [taylor]: Taking taylor expansion of -1/8 in y
0.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y
0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
0.044 * [taylor]: Taking taylor expansion of (pow y 3) in y
0.044 * [taylor]: Taking taylor expansion of y in y
0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0
0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y
0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.050 * [taylor]: Taking taylor expansion of y in y
0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.051 * [taylor]: Taking taylor expansion of x in y
0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x
0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x
0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.057 * [taylor]: Taking taylor expansion of y in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.057 * [taylor]: Taking taylor expansion of x in x
0.058 * [taylor]: Taking taylor expansion of 0 in y
0.058 * [taylor]: Taking taylor expansion of +nan.0 in y
0.059 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y
0.060 * [taylor]: Taking taylor expansion of +nan.0 in y
0.060 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y
0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.060 * [taylor]: Taking taylor expansion of +nan.0 in y
0.061 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y
0.061 * [taylor]: Taking taylor expansion of +nan.0 in y
0.061 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y
0.061 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y
0.061 * [taylor]: Taking taylor expansion of +nan.0 in y
0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.061 * [taylor]: Taking taylor expansion of y in y
0.062 * [taylor]: Taking taylor expansion of (- +nan.0) in y
0.062 * [taylor]: Taking taylor expansion of +nan.0 in y
0.063 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0
0.063 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y
0.063 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y
0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.063 * [taylor]: Taking taylor expansion of y in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.063 * [taylor]: Taking taylor expansion of x in y
0.065 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x
0.065 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.067 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x
0.067 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x
0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.069 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [taylor]: Taking taylor expansion of +nan.0 in y
0.070 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y
0.070 * [taylor]: Taking taylor expansion of +nan.0 in y
0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.070 * [taylor]: Taking taylor expansion of (- +nan.0) in y
0.070 * [taylor]: Taking taylor expansion of +nan.0 in y
0.072 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y
0.072 * [taylor]: Taking taylor expansion of +nan.0 in y
0.072 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y
0.072 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y
0.072 * [taylor]: Taking taylor expansion of +nan.0 in y
0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.072 * [taylor]: Taking taylor expansion of y in y
0.073 * [taylor]: Taking taylor expansion of (- +nan.0) in y
0.073 * [taylor]: Taking taylor expansion of +nan.0 in y
0.074 * * * [progress]: simplifying candidates
0.075 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ x y)))
  (log1p (sqrt (+ x y)))
  (log (sqrt (+ x y)))
  (exp (sqrt (+ x y)))
  (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
  (cbrt (sqrt (+ x y)))
  (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y)))
  (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))
  (sqrt (cbrt (+ x y)))
  (sqrt (sqrt (+ x y)))
  (sqrt (sqrt (+ x y)))
  (sqrt 1)
  (sqrt (+ x y))
  (sqrt 1)
  (sqrt (+ x y))
  (sqrt (+ (pow x 3) (pow y 3)))
  (sqrt (+ (* x x) (- (* y y) (* x y))))
  (sqrt (- (* x x) (* y y)))
  (sqrt (- x y))
  (/ 1 2)
  (sqrt (sqrt (+ x y)))
  (sqrt (sqrt (+ x y)))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y))))))
  (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0)))))
0.075 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (+ h0 h1)))
 (log1p (sqrt (+ h0 h1)))
 (log (sqrt (+ h0 h1)))
 (exp (sqrt (+ h0 h1)))
 (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))
 (cbrt (sqrt (+ h0 h1)))
 (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1)))
 (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (sqrt (cbrt (+ h0 h1)))
 (sqrt (sqrt (+ h0 h1)))
 (sqrt (sqrt (+ h0 h1)))
 (sqrt 1)
 (sqrt (+ h0 h1))
 (sqrt 1)
 (sqrt (+ h0 h1))
 (sqrt (+ (pow h0 3) (pow h1 3)))
 (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (sqrt (- h0 h1))
 (/ 1 2)
 (sqrt (sqrt (+ h0 h1)))
 (sqrt (sqrt (+ h0 h1)))
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- (* h2 h1))))))
 (- (+ (* h2 (/ h1 (pow h0 2))) (- (+ (* h2 (/ h1 h0)) (- h2)))))
 (- (+ (* h2 (/ h1 (pow h0 2))) (- (+ (* h2 (/ h1 h0)) (- h2)))))
0.078 * * [simplify]: iteration  0 :  122  enodes  (cost  95 )
0.080 * * [simplify]: iteration  1 :  303  enodes  (cost  86 )
0.085 * * [simplify]: iteration  2 :  969  enodes  (cost  83 )
0.101 * * [simplify]: iteration  3 :  2877  enodes  (cost  78 )
0.146 * * [simplify]: iteration  4 :  5002  enodes  (cost  78 )
0.147 * [simplify]: Simplified to:
   (expm1 (sqrt (+ x y)))
  (log1p (sqrt (+ x y)))
  (log (sqrt (+ x y)))
  (exp (sqrt (+ x y)))
  (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
  (cbrt (sqrt (+ x y)))
  (pow (sqrt (+ x y)) 3)
  (fabs (cbrt (+ x y)))
  (sqrt (cbrt (+ x y)))
  (sqrt (sqrt (+ x y)))
  (sqrt (sqrt (+ x y)))
  1
  (sqrt (+ x y))
  1
  (sqrt (+ x y))
  (hypot (pow y 3/2) (pow x 3/2))
  (sqrt (+ (* x x) (- (* y y) (* x y))))
  (sqrt (- (* x x) (* y y)))
  (sqrt (- x y))
  1/2
  (sqrt (sqrt (+ x y)))
  (sqrt (sqrt (+ x y)))
  (* +nan.0 (- (- x y) (pow x 2)))
  (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0)
  (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0)
0.147 * * * [progress]: adding candidates to table
0.185 * * [progress]: iteration 2 / 4
0.185 * * * [progress]: picking best candidate
0.187 * * * * [pick]: Picked  #<alt (λ (x y) (hypot (sqrt x) (sqrt y)))>
0.187 * * * [progress]: localizing error
0.192 * * * [progress]: generating rewritten candidates
0.192 * * * [progress]: generating series expansions
0.192 * * * [progress]: simplifying candidates
0.192 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.192 * [simplify]: Sending expressions to egg_math:
 
0.194 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.194 * [simplify]: Simplified to:
   
0.194 * * * [progress]: adding candidates to table
0.194 * [progress]: [Phase 3 of 3] Extracting.
0.194 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ x y)))> #<alt (λ (x y) (hypot (sqrt x) (sqrt y)))>)
0.195 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (sqrt (+ x y)) y x)
0.195 * * * * [regimes]: Trying to branch on (+ x y) from (#<alt (λ (x y) (sqrt (+ x y)))> #<alt (λ (x y) (hypot (sqrt x) (sqrt y)))>)
0.206 * * * * [regimes]: Trying to branch on (sqrt (+ x y)) from (#<alt (λ (x y) (sqrt (+ x y)))> #<alt (λ (x y) (hypot (sqrt x) (sqrt y)))>)
0.220 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ x y)))> #<alt (λ (x y) (hypot (sqrt x) (sqrt y)))>)
0.233 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ x y)))> #<alt (λ (x y) (hypot (sqrt x) (sqrt y)))>)
0.244 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
0.244 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ x y))
0.244 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ h0 h1))
0.244 * * [simplify]: iteration  0 :  5  enodes  (cost  2 )
0.245 * * [simplify]: iteration  1 :  5  enodes  (cost  2 )
0.245 * [simplify]: Simplified to:
   (sqrt (+ x y))
0.881 * [regime-testing]: Baseline error score: 0.007125890736342043
0.882 * [regime-testing]: Oracle error score: 0.005000625078134767
0.883 * [regime-testing]: End program error score: 0.007125890736342043