12.280 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.038 * * * [progress]: [2/2] Setting up program.
0.041 * [progress]: [Phase 2 of 3] Improving.
0.041 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.045 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.047 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.047 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.048 * * [progress]: iteration 1 / 4
0.048 * * * [progress]: picking best candidate
0.050 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.050 * * * [progress]: localizing error
0.058 * * * [progress]: generating rewritten candidates
0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.073 * * * [progress]: generating series expansions
0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.079 * [taylor]: Taking taylor expansion of 1/2 in y
0.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.079 * [taylor]: Taking taylor expansion of y in y
0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.087 * [taylor]: Taking taylor expansion of x in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.087 * [taylor]: Taking taylor expansion of y in y
0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.094 * [taylor]: Taking taylor expansion of x in x
0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.094 * [taylor]: Taking taylor expansion of y in x
0.098 * [taylor]: Taking taylor expansion of 1 in y
0.098 * [taylor]: Taking taylor expansion of 0 in y
0.101 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.101 * [taylor]: Taking taylor expansion of 1/2 in y
0.101 * [taylor]: Taking taylor expansion of y in y
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.108 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.108 * [taylor]: Taking taylor expansion of -1/8 in y
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.108 * [taylor]: Taking taylor expansion of y in y
0.111 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.111 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.111 * [taylor]: Taking taylor expansion of x in y
0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.111 * [taylor]: Taking taylor expansion of y in y
0.114 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.114 * [taylor]: Taking taylor expansion of x in x
0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.118 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.119 * [taylor]: Taking taylor expansion of y in x
0.128 * [taylor]: Taking taylor expansion of 1 in y
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.131 * [taylor]: Taking taylor expansion of -1/2 in y
0.131 * [taylor]: Taking taylor expansion of y in y
0.134 * [taylor]: Taking taylor expansion of 0 in y
0.137 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.137 * [taylor]: Taking taylor expansion of -1/8 in y
0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.137 * [taylor]: Taking taylor expansion of y in y
0.139 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.139 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.139 * [taylor]: Taking taylor expansion of x in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.139 * [taylor]: Taking taylor expansion of x in x
0.139 * [taylor]: Taking taylor expansion of y in x
0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.139 * [taylor]: Taking taylor expansion of x in x
0.139 * [taylor]: Taking taylor expansion of y in x
0.139 * [taylor]: Taking taylor expansion of y in y
0.140 * [taylor]: Taking taylor expansion of 0 in y
0.140 * [taylor]: Taking taylor expansion of 1 in y
0.141 * [taylor]: Taking taylor expansion of 0 in y
0.141 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.141 * [taylor]: Taking taylor expansion of x in y
0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.141 * [taylor]: Taking taylor expansion of y in y
0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.141 * [taylor]: Taking taylor expansion of x in x
0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.142 * [taylor]: Taking taylor expansion of y in x
0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.142 * [taylor]: Taking taylor expansion of x in x
0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.143 * [taylor]: Taking taylor expansion of y in x
0.143 * [taylor]: Taking taylor expansion of 1 in y
0.144 * [taylor]: Taking taylor expansion of 0 in y
0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.145 * [taylor]: Taking taylor expansion of y in y
0.147 * [taylor]: Taking taylor expansion of 0 in y
0.148 * [taylor]: Taking taylor expansion of 0 in y
0.149 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.149 * [taylor]: Taking taylor expansion of x in y
0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.149 * [taylor]: Taking taylor expansion of y in y
0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.149 * [taylor]: Taking taylor expansion of x in x
0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.150 * [taylor]: Taking taylor expansion of y in x
0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.150 * [taylor]: Taking taylor expansion of x in x
0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.150 * [taylor]: Taking taylor expansion of y in x
0.151 * [taylor]: Taking taylor expansion of 1 in y
0.152 * [taylor]: Taking taylor expansion of 0 in y
0.153 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.153 * [taylor]: Taking taylor expansion of y in y
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.157 * [taylor]: Taking taylor expansion of 0 in y
0.157 * * * [progress]: simplifying candidates
0.158 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.162 * * [simplify]: iteration  0 :  141  enodes  (cost  152 )
0.165 * * [simplify]: iteration  1 :  475  enodes  (cost  139 )
0.173 * * [simplify]: iteration  2 :  1515  enodes  (cost  138 )
0.208 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.210 * [simplify]: Simplified to:
   (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ (* x x) y)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (exp (+ (* x x) y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (pow (+ (* x x) y) 3)
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (- (+ (pow x 4) (pow y 2)) (* (* x x) y))
  (- (pow x 4) (pow y 2))
  (- (* x x) y)
  (* +nan.0 (- (- (pow y 2) y) (pow x 2)))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (* x x) y)
  (+ (* x x) y)
  (+ (* x x) y)
0.210 * * * [progress]: adding candidates to table
0.277 * * [progress]: iteration 2 / 4
0.277 * * * [progress]: picking best candidate
0.280 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.280 * * * [progress]: localizing error
0.284 * * * [progress]: generating rewritten candidates
0.285 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2)
0.293 * * * [progress]: generating series expansions
0.293 * * * * [progress]: [ 1 / 1 ] generating series at (2 2)
0.293 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.293 * [taylor]: Taking taylor expansion of 1/2 in x
0.293 * [taylor]: Taking taylor expansion of (/ y x) in x
0.293 * [taylor]: Taking taylor expansion of y in x
0.293 * [taylor]: Taking taylor expansion of x in x
0.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.293 * [taylor]: Taking taylor expansion of 1/2 in y
0.293 * [taylor]: Taking taylor expansion of (/ y x) in y
0.293 * [taylor]: Taking taylor expansion of y in y
0.293 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.294 * [taylor]: Taking taylor expansion of 1/2 in y
0.294 * [taylor]: Taking taylor expansion of (/ y x) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.294 * [taylor]: Taking taylor expansion of 1/2 in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.295 * [taylor]: Taking taylor expansion of 0 in x
0.300 * [taylor]: Taking taylor expansion of 0 in x
0.301 * [taylor]: Taking taylor expansion of 0 in x
0.302 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.302 * [taylor]: Taking taylor expansion of 1/2 in x
0.302 * [taylor]: Taking taylor expansion of (/ x y) in x
0.302 * [taylor]: Taking taylor expansion of x in x
0.302 * [taylor]: Taking taylor expansion of y in x
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.302 * [taylor]: Taking taylor expansion of 1/2 in y
0.302 * [taylor]: Taking taylor expansion of (/ x y) in y
0.302 * [taylor]: Taking taylor expansion of x in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.302 * [taylor]: Taking taylor expansion of 1/2 in y
0.302 * [taylor]: Taking taylor expansion of (/ x y) in y
0.302 * [taylor]: Taking taylor expansion of x in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.302 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.302 * [taylor]: Taking taylor expansion of 1/2 in x
0.302 * [taylor]: Taking taylor expansion of x in x
0.304 * [taylor]: Taking taylor expansion of 0 in x
0.306 * [taylor]: Taking taylor expansion of 0 in x
0.309 * [taylor]: Taking taylor expansion of 0 in x
0.309 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.309 * [taylor]: Taking taylor expansion of 1/2 in x
0.309 * [taylor]: Taking taylor expansion of (/ x y) in x
0.309 * [taylor]: Taking taylor expansion of x in x
0.309 * [taylor]: Taking taylor expansion of y in x
0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.309 * [taylor]: Taking taylor expansion of 1/2 in y
0.309 * [taylor]: Taking taylor expansion of (/ x y) in y
0.309 * [taylor]: Taking taylor expansion of x in y
0.309 * [taylor]: Taking taylor expansion of y in y
0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.309 * [taylor]: Taking taylor expansion of 1/2 in y
0.309 * [taylor]: Taking taylor expansion of (/ x y) in y
0.309 * [taylor]: Taking taylor expansion of x in y
0.309 * [taylor]: Taking taylor expansion of y in y
0.309 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.309 * [taylor]: Taking taylor expansion of 1/2 in x
0.309 * [taylor]: Taking taylor expansion of x in x
0.311 * [taylor]: Taking taylor expansion of 0 in x
0.312 * [taylor]: Taking taylor expansion of 0 in x
0.315 * [taylor]: Taking taylor expansion of 0 in x
0.315 * * * [progress]: simplifying candidates
0.316 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.320 * * [simplify]: iteration  0 :  164  enodes  (cost  128 )
0.325 * * [simplify]: iteration  1 :  727  enodes  (cost  118 )
0.341 * * [simplify]: iteration  2 :  2966  enodes  (cost  118 )
0.383 * * [simplify]: iteration  3 :  5001  enodes  (cost  118 )
0.384 * [simplify]: Simplified to:
   (* 1/2 (/ y x))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* 1/8 (pow (/ y x) 3))
  (* 1/8 (pow (/ y x) 3))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* 1/8 (pow (/ y x) 3))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* (* (cbrt y) (cbrt y)) 1/2)
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* (sqrt y) 1/2)
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.384 * * * [progress]: adding candidates to table
0.438 * * [progress]: iteration 3 / 4
0.438 * * * [progress]: picking best candidate
0.439 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.439 * * * [progress]: localizing error
0.445 * * * [progress]: generating rewritten candidates
0.445 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2)
0.453 * * * [progress]: generating series expansions
0.453 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2)
0.453 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.453 * [taylor]: Taking taylor expansion of 1/2 in x
0.453 * [taylor]: Taking taylor expansion of (/ y x) in x
0.453 * [taylor]: Taking taylor expansion of y in x
0.453 * [taylor]: Taking taylor expansion of x in x
0.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.453 * [taylor]: Taking taylor expansion of 1/2 in y
0.453 * [taylor]: Taking taylor expansion of (/ y x) in y
0.453 * [taylor]: Taking taylor expansion of y in y
0.453 * [taylor]: Taking taylor expansion of x in y
0.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.453 * [taylor]: Taking taylor expansion of 1/2 in y
0.453 * [taylor]: Taking taylor expansion of (/ y x) in y
0.453 * [taylor]: Taking taylor expansion of y in y
0.453 * [taylor]: Taking taylor expansion of x in y
0.453 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.453 * [taylor]: Taking taylor expansion of 1/2 in x
0.453 * [taylor]: Taking taylor expansion of x in x
0.454 * [taylor]: Taking taylor expansion of 0 in x
0.456 * [taylor]: Taking taylor expansion of 0 in x
0.457 * [taylor]: Taking taylor expansion of 0 in x
0.458 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.458 * [taylor]: Taking taylor expansion of 1/2 in x
0.458 * [taylor]: Taking taylor expansion of (/ x y) in x
0.458 * [taylor]: Taking taylor expansion of x in x
0.458 * [taylor]: Taking taylor expansion of y in x
0.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.458 * [taylor]: Taking taylor expansion of 1/2 in y
0.458 * [taylor]: Taking taylor expansion of (/ x y) in y
0.458 * [taylor]: Taking taylor expansion of x in y
0.458 * [taylor]: Taking taylor expansion of y in y
0.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.458 * [taylor]: Taking taylor expansion of 1/2 in y
0.458 * [taylor]: Taking taylor expansion of (/ x y) in y
0.458 * [taylor]: Taking taylor expansion of x in y
0.458 * [taylor]: Taking taylor expansion of y in y
0.458 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.458 * [taylor]: Taking taylor expansion of 1/2 in x
0.458 * [taylor]: Taking taylor expansion of x in x
0.459 * [taylor]: Taking taylor expansion of 0 in x
0.461 * [taylor]: Taking taylor expansion of 0 in x
0.464 * [taylor]: Taking taylor expansion of 0 in x
0.464 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.464 * [taylor]: Taking taylor expansion of 1/2 in x
0.464 * [taylor]: Taking taylor expansion of (/ x y) in x
0.464 * [taylor]: Taking taylor expansion of x in x
0.464 * [taylor]: Taking taylor expansion of y in x
0.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.464 * [taylor]: Taking taylor expansion of 1/2 in y
0.464 * [taylor]: Taking taylor expansion of (/ x y) in y
0.464 * [taylor]: Taking taylor expansion of x in y
0.464 * [taylor]: Taking taylor expansion of y in y
0.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.464 * [taylor]: Taking taylor expansion of 1/2 in y
0.464 * [taylor]: Taking taylor expansion of (/ x y) in y
0.464 * [taylor]: Taking taylor expansion of x in y
0.464 * [taylor]: Taking taylor expansion of y in y
0.465 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.465 * [taylor]: Taking taylor expansion of 1/2 in x
0.465 * [taylor]: Taking taylor expansion of x in x
0.466 * [taylor]: Taking taylor expansion of 0 in x
0.468 * [taylor]: Taking taylor expansion of 0 in x
0.470 * [taylor]: Taking taylor expansion of 0 in x
0.470 * * * [progress]: simplifying candidates
0.471 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.475 * * [simplify]: iteration  0 :  164  enodes  (cost  128 )
0.479 * * [simplify]: iteration  1 :  727  enodes  (cost  118 )
0.497 * * [simplify]: iteration  2 :  2966  enodes  (cost  118 )
0.539 * * [simplify]: iteration  3 :  5001  enodes  (cost  118 )
0.540 * [simplify]: Simplified to:
   (* 1/2 (/ y x))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* 1/8 (pow (/ y x) 3))
  (* 1/8 (pow (/ y x) 3))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* 1/8 (pow (/ y x) 3))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* (* (cbrt y) (cbrt y)) 1/2)
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* (sqrt y) 1/2)
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.541 * * * [progress]: adding candidates to table
0.598 * [progress]: [Phase 3 of 3] Extracting.
0.598 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.598 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.598 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.617 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.634 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.657 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.684 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.706 * * * [regime]: Found split indices: #<option (#s(si 0 39) #s(si 2 188) #s(si 1 255))>
0.706 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.784 * [regimes]: Found splitpoints: (#s(sp 0 x -1.380447448834878e+154) #s(sp 2 x 1.5656115498336859e+62) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.784 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.380447448834878e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.5656115498336859e+62) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
0.785 * * [simplify]: iteration  0 :  22  enodes  (cost  10 )
0.786 * * [simplify]: iteration  1 :  29  enodes  (cost  10 )
0.786 * * [simplify]: iteration  2 :  31  enodes  (cost  10 )
0.787 * * [simplify]: iteration  3 :  31  enodes  (cost  10 )
0.787 * [simplify]: Simplified to:
   (if (<= x -1.380447448834878e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.5656115498336859e+62) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
1.698 * [regime-testing]: Baseline error score: 21.151059123402288
1.698 * [regime-testing]: Oracle error score: 0.003540683597310584
1.700 * [regime-testing]: End program error score: 0.4667012314355969
1.729 * [regime-testing]: Target error score: 0.4953971734672676